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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 277350.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277350.bf1 | 277350bf1 | \([1, 0, 1, -477081, -131916932]\) | \(-75988526665/3566592\) | \(-563643071991475200\) | \([]\) | \(5322240\) | \(2.1691\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277350.bf do not have complex multiplication.Modular form 277350.2.a.bf
sage: E.q_eigenform(10)