Show commands:
SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 476850.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.bi1 | 476850bi1 | \([1, 1, 0, -2014650, -2419510500]\) | \(-11780292753143153/26103515625000\) | \(-2003852691650390625000\) | \([]\) | \(25159680\) | \(2.7761\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850.bi do not have complex multiplication.Modular form 476850.2.a.bi
sage: E.q_eigenform(10)