Re:

[Benyamin Gholami <benyamingholami10@gmail.com>]

thank you so much it really helps me . i reduced the coefficients of curve in a very good range but it seems that the problem is not the value of coefficients, but the height of points. the x_coordinates of points is about 22 digits and finding them is hard. the function "redquartic" gives me a cubic output , but it is better to give a quartic even with bigger coeffs but smaller height points

anyway i can't use "ratpoint" of denis simon can you bring me some examples ?

thanks

On Wed, Apr 5, 2017 at 7:12 PM, Benyamin Gholami <benyamingholami10@gmail.com> wrote:

is it possible to transform arbitrary curve in weierstrass form to a quartic so that the coefficients becomes smaller? the inverse is possible: , I.Connell's "elliptic curve handbook". but i announced that the descent method for sage and mwrank use this trick to decrease the coeffs. in brief, i just want to put the curve in the form witth smaller coeffs

thaks