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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 430950.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.g1 | 430950g1 | \([1, 1, 0, -44998450, 128364536500]\) | \(-1264938843025/161803008\) | \(-1288942230232507500000000\) | \([]\) | \(75479040\) | \(3.3600\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950.g do not have complex multiplication.Modular form 430950.2.a.g
sage: E.q_eigenform(10)