Show commands:
SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 304200bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.bi1 | 304200bi1 | \([0, 0, 0, -12675, -547625]\) | \(7311616/25\) | \(770006250000\) | \([]\) | \(552960\) | \(1.1443\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304200bi do not have complex multiplication.Modular form 304200.2.a.bi
sage: E.q_eigenform(10)