Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 2366.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2366.i1 | 2366p1 | \([1, 0, 0, 29, 129]\) | \(15925559/50176\) | \(-8479744\) | \([]\) | \(480\) | \(0.012664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2366.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2366.i do not have complex multiplication.Modular form 2366.2.a.i
sage: E.q_eigenform(10)