\\ Pari/GP code for working with elliptic curve isogeny class 35574.bg


\\ Define the isogeny class: 
E = ellinit([1, 0, 1, 1061167, 639509924])
ellisomat(E)

\\ Mordell-Weil rank: 
[lower,upper] = ellrank(E)

\\ q-expansion of modular form: 
Ser(ellan(E,20),q)*q

\\ Isogeny matrix: 
ellisomat(E)