Descent via isogeny in dimension 2

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1. [1] J. B. Bost et J.-F. Mestre, Moyenne arithmético-géometrique et périodes des courbes de genre 1 et 2, Gaz. Math. 38 (1988), 36-64. 
2. [2] J. W. S. Cassels, Arithmetic on curves of genus 1, I. On a conjecture of Selmer, J. Reine Angew. Math. 202 (1959), 52-59. Zbl0090.03005
3. [3] J. W. S. Cassels, The Mordell-Weil group of curves of genus 2, in: Arithmetic and Geometry papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday, Vol. 1, Arithmetic, Birkhäuser, Boston, 1983, 29-60. 
4. [4] J. W. S. Cassels, Lectures on Elliptic Curves, London Math. Soc. Stud. Texts 24, Cambridge University Press, 1991. 
5. [5] C. Chabauty, Sur les points rationnels des variétés algébriques dont l'irregularité et supérieur à la dimension, C. R. Acad. Sci. Paris 212 (1941), 882-885. Zbl67.0105.01
6. [6] R. F. Coleman, Effective Chabauty, Duke Math. J. 52 (1985), 765-780. Zbl0588.14015
7. [7] E. V. Flynn, The Jacobian and formal group of a curve of genus 2 over an arbitrary ground field, Math. Proc. Cambridge Philos. Soc. 107 (1990), 425-441. Zbl0723.14023
8. [8] E. V. Flynn, The group law on the Jacobian of a curve of genus 2, J. Reine Angew. Math., to appear. Zbl0765.14014
9. [9] D. M. Gordon and D. Grant, Computing the Mordell-Weil rank of Jacobians of curves of genus 2, Trans. Amer. Math. Soc., to appear. Zbl0790.14028
10. [10] D. Grant, Formal groups in genus 2, J. Reine Angew. Math. 411 (1990), 96-121. Zbl0702.14025
11. [11] W. G. McCallum, The arithmetic of Fermat curves, Math. Ann. 294 (1992), 503-511. Zbl0766.14013
12. [12] J. H. Silverman, The Arithmetic of Elliptic Curves, Springer, New York, 1986 Zbl0585.14026

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