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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 41280.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41280.cd1 | 41280cz1 | \([0, 1, 0, 1099, 6099]\) | \(8951619584/6046875\) | \(-99072000000\) | \([]\) | \(36864\) | \(0.79862\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41280.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 41280.cd do not have complex multiplication.Modular form 41280.2.a.cd
sage: E.q_eigenform(10)