Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 146523.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146523.bh1 | 146523be1 | \([0, 1, 1, -16280, -1427695]\) | \(-692224/867\) | \(-597703824817203\) | \([]\) | \(1506816\) | \(1.5287\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146523.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146523.bh do not have complex multiplication.Modular form 146523.2.a.bh
sage: E.q_eigenform(10)