Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 97104.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97104.bh1 | 97104bn1 | \([0, -1, 0, 1308496, -691328064]\) | \(30004847/42336\) | \(-349589986383498706944\) | \([]\) | \(3525120\) | \(2.6275\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97104.bh do not have complex multiplication.Modular form 97104.2.a.bh
sage: E.q_eigenform(10)