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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 372810.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.cd1 | 372810cd1 | \([1, 0, 0, -6245296, -6519239410]\) | \(-1116064434736859041/114656550468750\) | \(-2767530398241435468750\) | \([]\) | \(43223040\) | \(2.8539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.cd do not have complex multiplication.Modular form 372810.2.a.cd
sage: E.q_eigenform(10)