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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 422331g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.g1 | 422331g1 | \([0, 1, 1, -117460464, -489993818128]\) | \(6441016595550208/511270461\) | \(14226403939657635784149\) | \([]\) | \(99348480\) | \(3.2972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331g do not have complex multiplication.Modular form 422331.2.a.g
sage: E.q_eigenform(10)