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17 p, 181.5 KB Generalization of Vélu's formulae for isogenies between elliptic curves / Miret, Josep M. (Universitat de Lleida. Departament de Matemàtica) ; Moreno, Ramiro (Universitat de Lleida. Departament de Matemàtica) ; Rio, Anna (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II)
Given an elliptic curve E and a finite subgroup G, Vélu's formulae concern to a separable isogeny IG : E → E' with kernel G. In particular, for a point P ∈ E these formulae express the first elementary symmetric polynomial on the abscissas of the points in the set P + G as the difference between the abscissa of IG(P) and the first elementary symmetric polynomial on the abscissas of the nontrivial points of the kernel G. [...]
2007 - 10.5565/PUBLMAT_PJTN05_07
Publicacions matemàtiques, Vol. Extra (2007) , p. 147-163  

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