51 citations · 217 across the 26 of their papers we have counts for
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math.NT2015★ 3 cited
A formula for the Jacobian of a genus one curve of arbitrary degree
Tom Fisher
We extend the formulae of classical invariant theory for the Jacobian of a genus one curve of degree to curves of arbitrary degree. To do this, we associate to each genus…
math.NT2015
Higher descents on an elliptic curve with a rational 2-torsion point
Tom Fisher
Let be an elliptic curve over a number field . Descent calculations on can be used to find upper bounds for the rank of the Mordell-Weil group, and to compute covering c…
math.NT2015
On families of 9-congruent elliptic curves
Tom Fisher
We compute equations for the families of elliptic curves 9-congruent to a given elliptic curve. We use these to find infinitely many non-trivial pairs of 9-congruent elliptic curve…