Show commands:
SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 162288.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.cq1 | 162288ez1 | \([0, 0, 0, -2353323, 1389569146]\) | \(-23923707806/621\) | \(-37413767314151424\) | \([]\) | \(1806336\) | \(2.2865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288.cq do not have complex multiplication.Modular form 162288.2.a.cq
sage: E.q_eigenform(10)