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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 381150bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.bf1 | 381150bf1 | \([1, -1, 0, 2368008, 460346816]\) | \(49121680078125/31497124736\) | \(-941609437781055120000\) | \([]\) | \(16128000\) | \(2.7135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 381150bf do not have complex multiplication.Modular form 381150.2.a.bf
sage: E.q_eigenform(10)