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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 284592cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.cd1 | 284592cd1 | \([0, -1, 0, -2524496, 1548454272]\) | \(-30515071121161/85766121\) | \(-5000913316712484864\) | \([]\) | \(7962624\) | \(2.4603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592cd do not have complex multiplication.Modular form 284592.2.a.cd
sage: E.q_eigenform(10)