Rational points on elliptic curves over the rationals
Using ell2cover
We use hyperellratpoints to find a point on the cover:
? p=hyperellratpoints(Q,10^5,1)
%17 = [[-54021/8738,4481688/1122833]]
We use the map M to send it to the curve:
? P=substvec(M,[x,y],p[1])
%18 = [944714533055503/1296432036,280179828151905040
? ellisoncurve(E,P)
%19 = 1
? ellrank(E,,[P])
%20 = [2,2,[[55989637/144,360928708609/1728],
% [43510644911851/9548100,286709612275142445431/2950