151 citations
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Showing 2005 · math.NTShow all
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math.NT2005★ 11 cited
Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions
J. Brian Conrey, Atul Pokharel, Michael O. Rubinstein +1
We examine the number of vanishings of quadratic twists of the L-function associated to an elliptic curve. Applying a conjecture for the full asymptotics of the moments of critical…
math.NT2005★ 10 cited
Some remarks on Heegner point computations
Mark Watkins
We explain how to find a rational point on a rational elliptic curve of rank 1 using Heegner points. We give some examples, and list new algorithms that are due to Cremona and Dela…