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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 491970g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
491970.g1 | 491970g1 | \([1, 1, 0, -16743, 826677]\) | \(981314917075561/347120640\) | \(183626818560\) | \([]\) | \(1236480\) | \(1.1311\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 491970g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 491970g do not have complex multiplication.Modular form 491970.2.a.g
sage: E.q_eigenform(10)