Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 476850bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.bc1 | 476850bc1 | \([1, 1, 0, -57488030, -411261877500]\) | \(-6963898974088537853/20183964977485584\) | \(-60898980917205216288162000\) | \([]\) | \(129392640\) | \(3.6346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850bc do not have complex multiplication.Modular form 476850.2.a.bc
sage: E.q_eigenform(10)