Show commands:
SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 236992.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236992.bf1 | 236992bf1 | \([0, 0, 0, 1012, -6256]\) | \(3306204/2401\) | \(-83239174144\) | \([]\) | \(135168\) | \(0.78376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 236992.bf do not have complex multiplication.Modular form 236992.2.a.bf
sage: E.q_eigenform(10)