COMPARISON OF INTEGRAL STRUCTURES ON SPACES OF MODULAR FORMS OF WEIGHT TWO, AND COMPUTATION OF SPACES OF FORMS MOD 2 OF WEIGHT ONE. WITH APPENDICES BY JEAN-FRANÇOIS MESTRE AND GABOR WIESE

@article{Edixhoven2005COMPARISONOI,
  title={COMPARISON OF INTEGRAL STRUCTURES ON SPACES OF MODULAR FORMS OF WEIGHT TWO, AND COMPUTATION OF SPACES OF FORMS MOD 2 OF WEIGHT ONE. WITH APPENDICES BY JEAN-FRANÇOIS MESTRE AND GABOR WIESE},
  author={B. Edixhoven and J. Mestre and G. Wiese},
  journal={Journal of The Institute of Mathematics of Jussieu},
  year={2005},
  volume={5},
  pages={1-34}
}
  • B. Edixhoven, J. Mestre, G. Wiese
  • Published 2005
  • Mathematics
  • Journal of The Institute of Mathematics of Jussieu
  • Two integral structures on the Q-vector space of modular forms of weight two on X_0(N) are compared at primes p exactly dividing N. When p=2 and N is divisible by a prime that is 3 mod 4, this comparison leads to an algorithm for computing the space of weight one forms mod 2 on X_0(N/2). For p arbitrary and N>4 prime to p, a way to compute the Hecke algebra of mod p modular forms of weight one on Gamma_1(N) is presented, using forms of weight p, and, for p=2, parabolic group cohomology with mod… CONTINUE READING
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