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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 471510.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.bd1 | 471510bd1 | \([1, -1, 0, -309555, 74954101]\) | \(-932288503609/148800000\) | \(-523589071636800000\) | \([]\) | \(6635520\) | \(2.1281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 471510.bd do not have complex multiplication.Modular form 471510.2.a.bd
sage: E.q_eigenform(10)