// Magma code for working with elliptic curve isogeny class 4275.k


// Define the isogeny class: 
E := EllipticCurve([1, -1, 0, -13677, -612244]);
IsogenousCurves(E);

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

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

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