Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 10890u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10890.bb1 | 10890u1 | \([1, -1, 0, 5241, -137197]\) | \(9261/10\) | \(-17189438667390\) | \([]\) | \(36960\) | \(1.2262\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10890u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10890u do not have complex multiplication.Modular form 10890.2.a.u
sage: E.q_eigenform(10)