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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 466578.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.bd1 | 466578bd1 | \([1, -1, 0, -49773180, -138740933808]\) | \(-12078102267/376832\) | \(-425460215487811668885504\) | \([]\) | \(89413632\) | \(3.3106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 466578.bd do not have complex multiplication.Modular form 466578.2.a.bd
sage: E.q_eigenform(10)