Properties

Label 14586.g
Number of curves $1$
Conductor $14586$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 14586.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14586.g1 14586e1 \([1, 0, 1, 5, 74]\) \(18191447/2362932\) \(-2362932\) \([]\) \(2400\) \(-0.097704\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14586.g1 has rank \(1\).

Complex multiplication

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

Modular form 14586.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 2 q^{5} - q^{6} + q^{7} - q^{8} + q^{9} - 2 q^{10} + q^{11} + q^{12} - q^{13} - q^{14} + 2 q^{15} + q^{16} - q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display