A database of genus-2 curves over the rational numbers

Author:

Booker Andrew R.,Sijsling Jeroen,Sutherland Andrew V.,Voight John,Yasaki Dan

Abstract

We describe the construction of a database of genus-$2$curves of small discriminant that includes geometric and arithmetic invariants of each curve, its Jacobian, and the associated$L$-function. This data has been incorporated into the$L$-Functions and Modular Forms Database (LMFDB).

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference47 articles.

1. 4. A. R. Booker , ‘Numerical tests of modularity’ J. Ramanujan Math. Soc. 20 (2005) no. 4, 283–339.

2. 45. W. Stein and M. Watkins , ‘A database of elliptic curves—first report’, Algorithmic number theory: 5th international symposium, ANTS-V, Lecture Notes in Computer Science 2369 (eds C. Fieker and D. R. Kohel; Springer, Berlin, 2002) 267–275.

3. 23. Google Inc., ‘Google cloud platform’, available at https://cloud.google.com.

4. Modular curves of genus 2

5. 14. J. E. Cremona , ‘Elliptic curve data’, available at https://homepages.warwick.ac.uk/staff/J.E.Cremona/ftp/data/.

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