Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 163254.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.bh1 | 163254ca1 | \([1, 0, 1, 1537220, 492418682]\) | \(83228502970940543/69854999176704\) | \(-337176738721107457536\) | \([]\) | \(8886240\) | \(2.6266\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 163254.bh do not have complex multiplication.Modular form 163254.2.a.bh
sage: E.q_eigenform(10)