Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 162288i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.u1 | 162288i1 | \([0, 0, 0, -11739, -568694]\) | \(-174676879/35328\) | \(-36182673063936\) | \([]\) | \(552960\) | \(1.3241\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288i do not have complex multiplication.Modular form 162288.2.a.i
sage: E.q_eigenform(10)