G. Bisson, R. Cosset, and D. Robert, avIsogenies: a library for computing isogenies between abelian varieties

W. Bosma, C. Playoust, and J. J. Cannon, The Magma Algebra System I: The User Language, Journal of Symbolic Computation, vol.24, issue.3-4, pp.235-265, 1997.
DOI : 10.1006/jsco.1996.0125

J. Bost and J. Mestre, Moyenne arithmético-géométrique et périodes des courbes de genre 1 et 2, Gaz. Math, vol.38, pp.36-64, 1988.

G. Cardona and J. Quer, Field of moduli and field of definition for curves of genus 2, Computational Aspects of Algebraic Curves, pp.71-83, 2005.
DOI : 10.1142/9789812701640_0006

J. W. Cassels and E. V. Flynn, Prolegomena to a middlebrow arithmetic of curves of genus 2, 1996.
DOI : 10.1017/CBO9780511526084

J. E. Cremona and D. Rusin, Efficient solution of rational conics, Mathematics of Computation, vol.72, issue.243, pp.473-1417, 2003.
DOI : 10.1090/S0025-5718-02-01480-1

I. Dolgachev and D. Lehavi, On isogenous principally polarized abelian surfaces, Curves and abelian varieties, pp.51-69, 2008.
DOI : 10.1090/conm/465/09100

E. W. Howe and H. J. Zhu, On the Existence of Absolutely Simple Abelian Varieties of a Given Dimension over an Arbitrary Field, Journal of Number Theory, vol.92, issue.1, pp.139-163, 2002.
DOI : 10.1006/jnth.2001.2697

R. W. Hudson, Kummer's quartic surface, 1990.

D. Lubicz and D. Robert, Computing isogenies between Abelian Varieties To appear in Compos

J. Mestre, Construction de courbes de genre 2 ?? partir de leurs modules, Effective methods in algebraic geometry (Castiglioncello, pp.313-334, 1990.
DOI : 10.1007/978-1-4612-0441-1_21

W. A. Stein, The Sage Development Team, Sage Mathematics Software