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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 66880.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66880.bd1 | 66880cj1 | \([0, -1, 0, -3041, -372095]\) | \(-11867954041/222543200\) | \(-58338364620800\) | \([]\) | \(122880\) | \(1.3225\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66880.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66880.bd do not have complex multiplication.Modular form 66880.2.a.bd
sage: E.q_eigenform(10)