Properties

Label 14586l
Number of curves $1$
Conductor $14586$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 14586l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14586.j1 14586l1 \([1, 1, 1, 1144, -10604023]\) \(165568631260031/48580832601759744\) \(-48580832601759744\) \([]\) \(128128\) \(1.8807\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14586l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14586l do not have complex multiplication.

Modular form 14586.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + 3 q^{7} + q^{8} + q^{9} - q^{10} + q^{11} - q^{12} + q^{13} + 3 q^{14} + q^{15} + q^{16} + q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display