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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 2166g
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 2166.f1 | 2166g1 | \([1, 1, 1, 31580, -2764459]\) | \(205083359/314928\) | \(-5348599541376048\) | \([]\) | \(24624\) | \(1.7033\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2166g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2166g do not have complex multiplication.Modular form 2166.2.a.g
sage: E.q_eigenform(10)