########################################################################### # Columns: # genus = genus of the curve C # level = level of the abelian variety A_f with A_f = Jac(C) # number = f is this number-th newform orbit at level N # eps = sign of functional equation # L1 = is 0 if L(A_f,1)=0; otherwise, is 1. # f(x) = the curve is "y^2 = f(x)". # # Data computed by William Stein and Jen Balakrishnan based on the tables # of Gonzalez et al. 2010-11-13. # #genus level number eps L1 f(x) ########################################################################### 2 23 0 1 1 (x^3-8*x^2+3*x-7)*(x^3-x+1) 2 29 0 1 1 x^6+2*x^5-17*x^4-66*x^3-83*x^2-32*x-4 2 31 0 1 1 (x^3-9*x^2+10*x-3)*(x^3-5*x^2+6*x+1) 2 35 1 1 1 (x+1)*(x^2+4)*(x^3-5*x^2+3*x-19) 2 39 1 1 1 x*(x+4)*(x^2-3*x-1)*(x^2+5*x+3) 2 67 1 -1 0 x^6+2*x^5+x^4-2*x^3+2*x^2-4*x+1 2 68 0 1 1 (x-1)*(x^4-10*x^3-3*x^2+4*x-8) 2 73 1 -1 0 x^6+2*x^5+x^4+6*x^3+2*x^2-4*x+1 2 85 1 -1 0 (x^2+4)*(x^4+2*x^3+3*x^2-2*x+1) 2 87 0 1 1 (x^3-5*x^2+6*x-3)*(x^3-x^2+2*x+1) 2 88 1 1 1 (x-8)*x*(x^3-4*x+4) 2 93 0 -1 0 (x^3+x^2-2*x+1)*(x^3+5*x^2+2*x+1) 2 103 0 -1 0 x^6+6*x^5+5*x^4+2*x^3+2*x^2+1 2 104 1 1 1 (x-2)*(x+2)*(x^3-8*x^2+5*x-2) 2 107 0 -1 0 x^6-4*x^5+10*x^4-18*x^3+17*x^2-10*x+1 2 115 1 -1 0 (x^3+x^2+2*x+1)*(x^3+5*x^2-2*x+1) 2 125 0 -1 0 x^6-4*x^5+10*x^4-10*x^3+5*x^2+2*x-3 2 133 0 -1 0 x^6+10*x^5+17*x^4+14*x^3+10*x^2+4*x+1 2 135 3 1 1 (x^3-3*x^2+6*x-15)*(x^3-3*x^2+6*x-3) 2 136 2 1 1 (x+2)*(x^2-5*x+2)*(x^2+3*x-2) 2 147 3 -1 0 (x^2+x+1)*(x^4+5*x^3+5*x^2-4*x+4) 2 161 1 -1 0 (x^3-2*x^2+3*x-1)*(x^3+2*x^2+3*x-5) 2 165 0 -1 0 x*(x+4)*(x^2+x-1)*(x^2+x+3) 2 167 0 -1 0 x^6-4*x^5+2*x^4-2*x^3-3*x^2+2*x-3 2 175 4 1 1 (x^3-x^2+2*x-3)*(x^3+3*x^2-2*x+1) 2 176 3 1 1 (x-1)*(x+7)*(x^3-3*x^2-x-1) 2 177 0 -1 0 x^6+2*x^4-6*x^3+5*x^2-6*x+1 2 184 4 1 1 (x^2-2*x-7)*(x^3+2*x^2-3*x+1) 2 188 0 -1 0 x^5-5*x^4+5*x^3-15*x^2+6*x-11 2 188 1 1 1 x^5-x^4+x^3+x^2-2*x+1 2 191 0 -1 0 x^6+2*x^4+2*x^3+5*x^2-6*x+1 2 205 3 -1 0 x^6+2*x^4+10*x^3+5*x^2-6*x+1 2 207 1 -1 0 x*(x+4)*(x^4+2*x^3-5*x^2-6*x-3) 2 208 4 1 1 (x-3)*(x+1)*(x^3+5*x^2-8*x+4) 2 209 1 -1 0 x^6-4*x^5+8*x^4-8*x^3+8*x^2+4*x+4 2 213 1 -1 0 x^6+2*x^4+2*x^3-7*x^2+6*x-3 2 221 2 -1 0 x^6+4*x^5+2*x^4+6*x^3+x^2-2*x+1 2 224 2 1 1 (x-1)*(x^2-8)*(x^2+4*x-4) 2 224 3 1 1 (x-1)*(x^2-8*x+8)*(x^2-4*x-4) 2 261 0 -1 0 (x^3-4*x^2+7*x-3)*(x^3+4*x^2+3*x-3) 2 272 4 1 1 (x-4)*(x^2-7*x+8)*(x^2+x-4) 2 272 5 1 1 (x+1)*(x^4+10*x^3-3*x^2-4*x-8) 2 275 2 1 1 x^6-4*x^5+2*x^4-22*x^3-15*x^2-30*x-35 2 280 3 1 1 (x-4)*x*(x^3-x^2-x+5) 2 287 0 -1 0 x^6-4*x^5+2*x^4+6*x^3-15*x^2+14*x-7 2 297 4 -1 0 x^6+6*x^5+3*x^4-36*x^3-69*x^2-54*x-15 2 299 0 -1 0 x^6-10*x^5+41*x^4-78*x^3+66*x^2-28*x+5 2 315 2 -1 0 (x-2)*(x+2)*(x^2+x+1)*(x^2+5*x+1) 2 351 0 -1 0 x^6-6*x^4+18*x^3+9*x^2-18*x+5 2 357 4 -1 0 x^6+8*x^4-8*x^3+20*x^2-12*x+12 2 368 7 1 1 (x^2-8)*(x^3-5*x^2+4*x-1) 2 376 0 -1 0 x^5-6*x^4+11*x^3-4*x^2-2*x+1 2 376 1 -1 0 x^5-x^3+2*x^2-2*x+1 2 380 3 1 1 (x-2)*(x^4-3*x^3-3*x^2+x-1) 2 416 2 -1 0 (x^2-2*x+5)*(x^3-x^2+4) 2 416 4 1 1 (x^2+4)*(x^3-2*x^2+x-4) 2 440 4 1 1 (x^2-x+3)*(x^3-4*x^2+5*x-10) 2 440 6 1 1 (x^2+x-1)*(x^3-x^2-8) 2 448 8 -1 0 (x+1)*(x^4-4*x^3+16*x^2-24*x+4) 2 448 9 1 1 (x-3)*(x^4-4*x^3+16*x^2-24*x+4) 2 476 1 -1 0 x^5-3*x^4+5*x^3-x^2-2*x+1 2 476 3 1 1 x^5-2*x^4+3*x^3-6*x^2-7 2 525 4 -1 0 (x^3-2*x^2+3*x-9)*(x^3+2*x^2+3*x-1) 2 560 7 1 1 (x-1)*(x+3)*(x^3-2*x^2-4) 2 621 3 -1 0 x^6-6*x^5+21*x^4-42*x^3+42*x^2-24*x+5 2 640 11 1 1 (x-4)*(x^2-4*x+8)*(x^2-2*x+2) 2 640 8 -1 0 (x+2)*(x^2-2*x+2)*(x^2+4) 2 645 6 -1 0 x^6+8*x^4+20*x^2+12*x+4 2 704 12 1 1 (x^2-2*x+9)*(x^3-x^2+x+1) 2 704 13 -1 0 (x^2+8)*(x^3-2*x^2+2*x-2) 2 752 1 -1 0 x^5-5*x^4+9*x^3-9*x^2+4*x-1 2 752 2 1 1 x^5+x^4-3*x^3-3*x^2+4*x-1 2 752 4 1 1 x^5-4*x^4+7*x^3-8*x^2+4*x-1 2 752 5 1 1 x^5-5*x^3+20*x^2-24*x+19 2 783 0 -1 0 x^6-6*x^4+10*x^3-15*x^2+6*x-3 2 880 10 1 1 (x^2-x+3)*(x^3+x^2+8) 2 880 12 1 1 (x^2-3*x+1)*(x^3-2*x^2+x+8) 2 952 1 -1 0 x^5-8*x^4+27*x^3-30*x^2+18*x-7 2 1053 5 -1 0 x^6-6*x^4+18*x^3-27*x^2+18*x-7 2 1120 17 1 1 (x-2)*x*(x^3-3*x^2+11*x+7) 2 1120 18 1 1 x*(x+2)*(x^3+3*x^2+11*x-7) 2 1280 11 1 1 (x-1)*(x^4-4*x^3+18*x^2+4*x+1) 2 1280 2 -1 0 (x+1)*(x^4+4*x^3+18*x^2-4*x+1) 2 1520 12 1 1 (x+2)*(x^4+3*x^3-3*x^2-x-1) 2 1792 10 -1 0 (x+3)*(x^4-2*x^2+4*x-2) 2 1792 11 1 1 (x-3)*(x^4-2*x^2-4*x-2) 2 1820 1 -1 0 x^5+7*x^3-16*x^2+12*x+1 2 1904 10 -1 0 x^5-2*x^4+3*x^3-6*x^2+4*x-1 2 1904 6 -1 0 x^5+3*x^4+5*x^3-13*x^2+12*x-1 2 1904 8 1 1 x^5+2*x^4+3*x^3+6*x^2+7 2 1916 0 -1 0 x^5+3*x^4-7*x^3+5*x^2-2*x+1 2 2240 29 -1 0 (x^2+2*x+6)*(x^3+3*x^2+5*x+5) 2 2240 30 1 1 (x^2-2*x+6)*(x^3-3*x^2+5*x-5) 2 3159 6 -1 0 x^6-6*x^5+21*x^4-26*x^3+18*x^2-3 2 7664 0 1 1 x^5-3*x^4-7*x^3-5*x^2-2*x-1 2 7280 27 -1 0 x^5-5*x^4+17*x^3-15*x^2+6*x-5 3 41 0 1 1 x^8+4*x^7-8*x^6-66*x^5-120*x^4-56*x^3+53*x^2+36*x-16 3 95 0 1 1 (x^4+x^3-6*x^2-10*x-5)*(x^4+x^3-2*x^2+2*x-1) 3 152 2 1 1 x*(x^3-2*x^2-7*x-8)*(x^3+4*x^2+4*x+4) 3 248 4 1 1 (x^3+x-1)*(x^4-2*x^3-3*x^2-4*x+4) 3 284 0 -1 0 x^7-7*x^5-11*x^4+5*x^3+18*x^2+4*x-11 3 284 1 1 1 x^7+4*x^6+5*x^5+x^4-3*x^3-2*x^2+1 3 304 6 1 1 x*(x^3-4*x^2+4*x-4)*(x^3+2*x^2-7*x+8) 3 496 9 -1 0 (x^3+x+1)*(x^4+2*x^3-3*x^2+4*x+4) 3 544 8 -1 0 (x-1)*(x^2-x-4)*(x^4-x^2-4) 3 544 9 1 1 (x+1)*(x^2+x-4)*(x^4-x^2-4) 3 896 8 -1 0 (x-2)*(x^2+2*x-1)*(x^4-2*x^2-7) 3 896 9 1 1 (x+2)*(x^2-2*x-1)*(x^4-2*x^2-7) 3 1136 8 1 1 x^7-4*x^6+5*x^5-x^4-3*x^3+2*x^2-1 3 1136 9 1 1 x^7-7*x^5+11*x^4+5*x^3-18*x^2+4*x+11 4 47 0 1 1 (x^5-5*x^3-20*x^2-24*x-19)*(x^5+4*x^4+7*x^3+8*x^2+4*x+1) 4 119 0 1 1 (x^5-2*x^4+3*x^3-6*x^2-7)*(x^5+2*x^4+3*x^3+6*x^2+4*x+1) 4 164 0 1 1 x*(x^8+4*x^7-8*x^6-66*x^5-120*x^4-56*x^3+53*x^2+36*x-16) 4 376 2 1 1 (x^4-2*x^3-3*x^2+4*x-4)*(x^5-x^3+2*x^2-2*x+1) 4 376 3 1 1 (x^4-2*x^3-3*x^2+4*x-4)*(x^5+4*x^4+3*x^3-2*x^2+2*x+5) 4 416 5 1 1 x*(x^2+4)*(x^3-2*x^2+x-4)*(x^3+2*x^2+x+4) 4 512 6 1 1 x*(x^4-4*x^2-4)*(x^4+4*x^2-4) 4 656 8 1 1 x*(x^8-4*x^7-8*x^6+66*x^5-120*x^4+56*x^3+53*x^2-36*x-16) 4 752 6 -1 0 (x^4+2*x^3-3*x^2-4*x-4)*(x^5-x^3-2*x^2-2*x-1) 4 752 7 1 1 (x^4+2*x^3-3*x^2-4*x-4)*(x^5-4*x^4+3*x^3+2*x^2+2*x-5) 4 832 15 1 1 (x-2)*x*(x+2)*(x^6+2*x^4-15*x^2+16) 4 1216 22 -1 0 (x^3-2*x+2)*(x^6+2*x^4-7*x^2+8) 4 1216 23 1 1 (x^3-2*x-2)*(x^6+2*x^4-7*x^2+8)