Computing Congruences Between an Elliptic Curve with Integer Coefficients and the Old Space

Randy Heaton

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arXiv · 1202.5265

Computing Congruences Between an Elliptic Curve with Integer Coefficients and the Old Space

Randy Heaton

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Abstract

We put together some known theoretical results and the fact that certain computations can be done efficiently in SAGE to come up with a fast algorithm for calculating congruence primes linking a newform with integer coefficients (i.e. a newform associated to an elliptic curve) with the old space at the same level.

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Randy Heaton. 2012-02-23. Computing Congruences Between an Elliptic Curve with Integer Coefficients and the Old Space. https://arxiv.org/abs/1202.5265

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