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papers

Publications (24)

Explicit n-descent on elliptic curves. III. Algorithms

John Cremona, Tom Fisher, Cathy O'Neil +2

Invariant theory for the elliptic normal quintic, I. Twists of X(5)

Tom Fisher

Explicit n-descent on elliptic curves, I. Algebra

John Cremona, Tom Fisher, Cathy O'Neil +2

Finding rational points on elliptic curves using 6-descent and 12-descent

Tom Fisher

On families of 9-congruent elliptic curves

Tom Fisher

On families of n-congruent elliptic curves

Tom Fisher

Computing the Cassels-Tate pairing on the 3-Selmer group of an elliptic curve

Tom Fisher, Rachel Newton

Explicit n-descent on elliptic curves, II. Geometry

John Cremona, Tom Fisher, Cathy O'Neil +2

The proportion of plane cubic curves over ${\mathbb Q}$ that everywhere locally have a point

Manjul Bhargava, John Cremona, Tom Fisher

Higher descents on an elliptic curve with a rational 2-torsion point

Tom Fisher

The yoga of the Cassels-Tate pairing

Tom Fisher, Edward F. Schaefer, Michael Stoll

The invariants of a genus one curve

Tom Fisher

Local solubility and height bounds for coverings of elliptic curves

Tom Fisher, Graham Sills

Computing the Cassels-Tate pairing on 3-isogeny Selmer groups via cubic norm equations

Monique van Beek, Tom Fisher

The Hessian of a genus one curve

Tom Fisher

On some algebras associated to genus one curves

Tom Fisher

What is the probability that a random integral quadratic form in $n$ variables is isotropic?

Manjul Bhargava, John Cremona, Tom Fisher

Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves

John Cremona, Tom Fisher, Michael Stoll

A formula for the Jacobian of a genus one curve of arbitrary degree

Tom Fisher

Minimisation and reduction of 5-coverings of elliptic curves

Tom Fisher

On genus one curves of degree 5 with square-free discriminant

Tom Fisher, Mohammad Sadek

Some minimisation algorithms in arithmetic invariant theory

Tom Fisher, Lazar RadiÄeviÄ

Explicit moduli spaces for congruences of elliptic curves

Tom Fisher

Invariant theory for the elliptic normal quintic, II. The covering map

Tom Fisher