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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 64715.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64715.g1 | 64715c1 | \([0, 0, 1, 79507, -36752111]\) | \(110592/1225\) | \(-615675949622632675\) | \([]\) | \(938432\) | \(2.0944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64715.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 64715.g do not have complex multiplication.Modular form 64715.2.a.g
sage: E.q_eigenform(10)