Modular Forms Slope Computations

The 2-adic slopes from weights 12 to 500.

These tables record the first half of the sequence of slopes for the U operator acting on oldforms of even weight k, level p, and trivial character for small weights and primes p.

• p = 2
• p = 3
• p = 5
• p = 7
• p = 11
• p = 13
• p = 17
• p = 19
• p = 23
• p = 29
• p = 31
• p = 37
• p = 41
• p = 43
• p = 47
• p = 53
• p = 59
• p = 61
• p = 67
• p = 71
• p = 73
• p = 79
• p = 83
• p = 89
• p = 97
• p = 101
• p = 103
• p = 107
• p = 109
• p = 113
• p = 127
• p = 131
• p = 137
• p = 139
• p = 149
• p = 151
• p = 157
• p = 163
• p = 167
• p = 173
• p = 179
• p = 181
• p = 191
• p = 193
• p = 197
• p = 199
• p = 211

I use SAGE for these calculations, and in doing so provide an independent verification and extension of slope computations computed by Prof. Fernando Q. Gouvêa about a decade ago.