Show commands:
SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 162624cq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162624.br1 | 162624cq1 | \([0, -1, 0, -2801, 57807]\) | \(313944395776/1240029\) | \(9602784576\) | \([]\) | \(168960\) | \(0.77267\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624cq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162624cq do not have complex multiplication.Modular form 162624.2.a.cq
sage: E.q_eigenform(10)