Show commands:
SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 67760cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.c1 | 67760cq1 | \([0, 0, 0, -37147, 2755786]\) | \(-11437987859001/358400\) | \(-177628774400\) | \([]\) | \(253440\) | \(1.2548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67760cq do not have complex multiplication.Modular form 67760.2.a.cq
sage: E.q_eigenform(10)