Shrinking Lattice Polyhedra. - John Cremona; Susan Landau 001 (SIAM J. Discret. Math., 1990)

Computing the degree of a modular parametrization. - John Cremona (ANTS, 1994)

Computing Periods of Cusp Forms and Modular Elliptic Curves. - John Cremona (Exp. Math., 1997)

Reduction of Binary Cubic and Quartic Forms. - J. E. Cremona (LMS J. Comput. Math., 1999)

Computing the rank of elliptic curves over real quadratic number fields of class number 1. - J. E. Cremona; P. Serf (Math. Comput., 1999)

Visualizing Elements in the Shafarevich - Tate Group. - John Cremona; Barry Mazur (Exp. Math., 2000)

Classical Invariants and 2-descent on Elliptic Curves. - John Cremona (J. Symb. Comput., 2001)

Minimal Models for 2-coverings of Elliptic Curves. - Michael Stoll; John Cremona (LMS J. Comput. Math., 2002)

Efficient solution of rational conics. - J. E. Cremona; D. Rusin (Math. Comput., 2003)

04211 Abstracts Collection - Algorithms and Number Theory. - John Cremona; Michael E. Pohst (Algorithms and Number Theory, 2004)

Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. - Amod Agashe; William Stein; Barry Mazur; John Cremona (Math. Comput., 2005)

The Elliptic Curve Database for Conductors to 130000. - John Cremona (ANTS, 2006)

Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q. - John Cremona; Samir Siksek (ANTS, 2006)

Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes. - J. E. Cremona; Mark P. Lingham (Exp. Math., 2007)

Computing in Component Groups of Elliptic Curves. - J. E. Cremona (ANTS, 2008)

Unimodular integer circulants. - J. E. Cremona (Math. Comput., 2008)

09221 Abstracts Collection - Algorithms and NumberTheory. - Johannes Buchmann 001; John Cremona; Michael E. Pohst (Algorithms and Number Theory, 2009)

On the equivalence of binary quartics. - J. E. Cremona; Tom A. Fisher (J. Symb. Comput., 2009)

Cyclically Presented Groups and Resultants. - J. E. Cremona; Martin Edjvet (Int. J. Algebra Comput., 2010)

Explicit n-descent on elliptic curves III. Algorithms. - J. E. Cremona; Tom A. Fisher; Cathy O'Neil; Denis Simon; Michael Stoll (Math. Comput., 2015)

The L-Functions and Modular Forms Database Project. - John Cremona (Found. Comput. Math., 2016)