10 citations · 27 across the 5 of their papers we have counts for
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Discretisation for odd quadratic twists
J. Brian Conrey, Michael O. Rubinstein, Nina C. Snaith +1
The discretisation problem for even quadratic twists is almost understood, with the main question now being how the arithmetic Delaunay heuristic interacts with the analytic random…
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…
Explicit lower bounds on the modular degree of an elliptic curve
Mark Watkins
We derive an explicit zero-free region for symmetric square L-functions of elliptic curves, and use this to derive an explicit lower bound for the modular degree of rational ellipt…
Modular Parametrizations of Neumann-Setzer Elliptic Curves
William Stein, Mark Watkins
Suppose is a prime of the form for some integer , which we take to be 3 mod 4. Then there are two Neumann--Setzer elliptic curves and of prime conductor…
Elliptic curves of large rank and small conductor
Noam D. Elkies, Mark Watkins
For r=6,7,...,11 we find an elliptic curve E/Q of rank at least r and the smallest conductor known, improving on the previous records by factors ranging from 1.0136 (for r=6) to ov…