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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 219351.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
219351.g1 | 219351g1 | \([0, -1, 1, 12909, 5991149]\) | \(9855401984/649033803\) | \(-15666098203244907\) | \([]\) | \(1916928\) | \(1.7871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 219351.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 219351.g do not have complex multiplication.Modular form 219351.2.a.g
sage: E.q_eigenform(10)