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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 2366.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2366.g1 | 2366f1 | \([1, -1, 0, -528241, -147664867]\) | \(-19983597574473/3670016\) | \(-2993744797761536\) | \([]\) | \(59280\) | \(1.9724\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2366.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2366.g do not have complex multiplication.Modular form 2366.2.a.g
sage: E.q_eigenform(10)