Show commands:
SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 102850.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.cq1 | 102850cm1 | \([1, 1, 1, 15062, 907281]\) | \(13651919/20570\) | \(-569390777656250\) | \([]\) | \(368640\) | \(1.5167\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850.cq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102850.cq do not have complex multiplication.Modular form 102850.2.a.cq
sage: E.q_eigenform(10)