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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 76664g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76664.a1 | 76664g1 | \([0, 0, 0, 5476, -607836]\) | \(27648/259\) | \(-170117923822336\) | \([]\) | \(262656\) | \(1.4118\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76664g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 76664g do not have complex multiplication.Modular form 76664.2.a.g
sage: E.q_eigenform(10)