// Magma code for working with elliptic curve isogeny class 19.a


// Define the isogeny class: 
E := EllipticCurve([0, 1, 1, -769, -8470]);
IsogenousCurves(E);

// Mordell-Weil rank: 
Rank(E);

// q-expansion of modular form: 
ModularForm(E);

// List of curves in the isogeny class: 
IsogenousCurves(E);