\\ Pari/GP code for working with elliptic curve 5.5.24217.1-85.2-a2

\\ (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, -1, -5, 0, 1]));

\\ Define the curve: 
E = ellinit([Polrev([4,4,-9,-1,2]),Polrev([7,5,-14,-2,3]),Polrev([0,0,0,0,0]),Polrev([-24,-12,36,4,-8]),Polrev([-90,-33,154,13,-34])], 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]