\\ Pari/GP code for working with elliptic curve 5.5.14641.1-23.2-a3 \\ (Note that not all these functions may be available, and some may take a long time to execute.) \\ Define the base number field: K = nfinit(Polrev([-1, 3, 3, -4, -1, 1])); \\ Define the curve: E = ellinit([Polrev([0,-2,0,1,0]),Polrev([3,2,-4,-1,1]),Polrev([-2,-2,1,1,0]),Polrev([-437,-163,506,-46,-187]),Polrev([-5628,-208,9018,-1423,-3375])], K); \\ Compute the conductor: ellglobalred(E)[1] \\ Compute the norm of the conductor: idealnorm(ellglobalred(E)[1]) \\ Compute the discriminant: E.disc \\ Compute the norm of the discriminant: norm(E.disc) \\ Compute the j-invariant: E.j \\ Compute the torsion subgroup: T = elltors(E); T[2] \\ Compute the order of the torsion subgroup: T[1] \\ Compute the generators of the torsion subgroup: T[3]