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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 67158g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.i1 | 67158g1 | \([1, -1, 0, 30, 52]\) | \(108531333/119392\) | \(-3223584\) | \([]\) | \(12160\) | \(-0.064627\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67158g do not have complex multiplication.Modular form 67158.2.a.g
sage: E.q_eigenform(10)