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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 388311.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388311.g1 | 388311g1 | \([0, -1, 1, 91895, -198592671]\) | \(10747904/2139291\) | \(-17082078678331493211\) | \([]\) | \(9257472\) | \(2.3696\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388311.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388311.g do not have complex multiplication.Modular form 388311.2.a.g
sage: E.q_eigenform(10)