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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 265650.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265650.cd1 | 265650cd1 | \([1, 0, 1, -31651, -10160302]\) | \(-224412099736609/2722801160772\) | \(-42543768137062500\) | \([]\) | \(2741760\) | \(1.8726\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265650.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 265650.cd do not have complex multiplication.Modular form 265650.2.a.cd
sage: E.q_eigenform(10)