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Conjecture 6.1
Suppose
![$ p$](img1.png)
is a prime and
![$ k\geq 4$](img136.png)
is an even integer.
If
then
![$ d_k(\Gamma_0(p))>0$](img141.png)
.
Frank Calegari outlined a possible strategy for proving this conjecture.
Conjecture 6.2
Suppose
![$ p>2$](img142.png)
is a prime and
![$ k\geq 3$](img143.png)
is an integer.
If
then
![$ d_k(\Gamma_1(p))>0$](img148.png)
.
William A Stein
2002-09-30