Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 16562n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16562.u1 | 16562n1 | \([1, 1, 0, 239977, -95290411]\) | \(15925559/50176\) | \(-4815385882779157504\) | \([]\) | \(299520\) | \(2.2681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16562n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16562n do not have complex multiplication.Modular form 16562.2.a.n
sage: E.q_eigenform(10)