Properties

Label 10890u
Number of curves $1$
Conductor $10890$
CM no
Rank $1$

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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)
 
\(q - q^{2} + q^{4} + q^{5} + 5 q^{7} - q^{8} - q^{10} - 4 q^{13} - 5 q^{14} + q^{16} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display