51 citations · 217 across the 26 of their papers we have counts for
4 papers · 1 filter
Computing the Cassels-Tate pairing on 3-isogeny Selmer groups via cubic norm equations
Monique van Beek, Tom Fisher
We explain a method for computing the Cassels-Tate pairing on the 3-isogeny Selmer groups of an elliptic curve. This improves the upper bound on the rank of the elliptic curve comi…
On some algebras associated to genus one curves
Tom Fisher
Haile, Han and Kuo have studied certain non-commutative algebras associated to a binary quartic or ternary cubic form. We extend their construction to pairs of quadratic forms in f…
Some minimisation algorithms in arithmetic invariant theory
Tom Fisher, Lazar Radičević
We extend the work of Cremona, Fisher and Stoll on minimising genus one curves of degrees 2,3,4,5, to some of the other representations associated to genus one curves, as studied b…
Visibility of 4-covers of elliptic curves
Nils Bruin, Tom Fisher
Let be a -cover of an elliptic curve , written as a quadric intersection in . Let be another elliptic curve with -torsion isomorphic to that of .…