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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 200277.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.bd1 | 200277bd1 | \([0, 0, 1, -58089, -5948415]\) | \(-1231925248/155771\) | \(-2740991347049571\) | \([]\) | \(2211840\) | \(1.6962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200277.bd do not have complex multiplication.Modular form 200277.2.a.bd
sage: E.q_eigenform(10)