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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 302330bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.bf1 | 302330bf1 | \([1, -1, 1, -63538, 9312867]\) | \(-241118029063521/177844110850\) | \(-20923181797391650\) | \([]\) | \(2519040\) | \(1.8310\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330bf do not have complex multiplication.Modular form 302330.2.a.bf
sage: E.q_eigenform(10)