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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 466578.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.bf1 | 466578bf1 | \([1, -1, 0, 2435143485, -34952024045611]\) | \(13581780628779/12348030976\) | \(-1451905595523608958063328886784\) | \([]\) | \(576221184\) | \(4.4749\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 466578.bf do not have complex multiplication.Modular form 466578.2.a.bf
sage: E.q_eigenform(10)