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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 481338.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
481338.g1 | 481338g1 | \([1, -1, 0, 541483992, -405536586944]\) | \(10214541635172355837/5952497079140352\) | \(-10232008345970119964965552128\) | \([]\) | \(308689920\) | \(4.0640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 481338.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 481338.g do not have complex multiplication.Modular form 481338.2.a.g
sage: E.q_eigenform(10)