Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization
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[1] A. Dujella,et al. On the rank of elliptic curves over $\mathbf{Q}(i)$ with torsion group $\mathbf{Z}/4\mathbf{Z} \times \mathbf{Z}/4\mathbf{Z}$ , 2010 .
[2] Joseph H. Silverman,et al. The arithmetic of elliptic curves , 1986, Graduate texts in mathematics.
[3] Yoonjin Lee,et al. Families of elliptic curves over quartic number fields with prescribed torsion subgroups , 2011, Math. Comput..
[4] J. Silverman. ON THE RANK OF ELLIPTIC CURVES , 1999 .
[5] F. P. Rabarison. Torsion et rang des courbes elliptiques définies sur les corps de nombres algébriques , 2008 .
[6] Christophe Clavier,et al. New Families of ECM Curves for Cunningham Numbers , 2010, ANTS.
[7] H. Swinnerton-Dyer,et al. Ellitpic curves and modular functions , 1975 .
[8] P. L. Montgomery. Speeding the Pollard and elliptic curve methods of factorization , 1987 .
[9] H. W. Lenstra,et al. Factoring integers with elliptic curves , 1987 .
[10] François Morain,et al. Finding suitable curves for the elliptic curve method of factorization , 1993 .
[11] Julián Aguirre,et al. High rank elliptic curves with prescribed torsion group over quadratic fields , 2012, Period. Math. Hung..
[12] Filip Najman,et al. Ranks of Elliptic Curves with Prescribed Torsion over Number Fields , 2011, 1201.0252.