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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 8400.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8400.cg1 | 8400x1 | \([0, 1, 0, -7708, 257963]\) | \(-324179200/63\) | \(-9843750000\) | \([]\) | \(13440\) | \(0.91746\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8400.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8400.cg do not have complex multiplication.Modular form 8400.2.a.cg
sage: E.q_eigenform(10)