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math.NT2020
Computing newforms using supersingular isogeny graphs
Alex Cowan
We describe an algorithm that we used to compute the q-expansions of all weight 2 cusp forms of prime level at most 2,000,000 and dimension at most 6. We also present an algorithm…
math.NT2020
Conjecture: 100% of elliptic surfaces over have rank zero
Alex Cowan
Based on an equation for the rank of an elliptic surface over which appears in the work of Nagao, Rosen, and Silverman, we conjecture that 100% of elliptic surfaces ha…