Show commands:
SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 147294bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.cr1 | 147294bi1 | \([1, -1, 1, 248494, 15099473]\) | \(19785968032823/12608077824\) | \(-1081345928230600704\) | \([]\) | \(2914560\) | \(2.1494\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147294bi do not have complex multiplication.Modular form 147294.2.a.bi
sage: E.q_eigenform(10)