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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 57150.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.g1 | 57150e1 | \([1, -1, 0, -110817, 52779341]\) | \(-356747791420467/2643069552560\) | \(-1115044967486250000\) | \([]\) | \(967680\) | \(2.1460\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 57150.g do not have complex multiplication.Modular form 57150.2.a.g
sage: E.q_eigenform(10)