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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 296240cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296240.cq1 | 296240cq1 | \([0, 1, 0, -705, 55643]\) | \(-1024/35\) | \(-1326401565440\) | \([]\) | \(380160\) | \(1.0064\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296240cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296240cq do not have complex multiplication.Modular form 296240.2.a.cq
sage: E.q_eigenform(10)