Properties

Label 116160fx
Number of curves $1$
Conductor $116160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fx1")
 
E.isogeny_class()
 

Elliptic curves in class 116160fx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116160.g1 116160fx1 \([0, -1, 0, 37461439, -145449079719]\) \(218902267299584/470715894135\) \(-12502177804921713269898240\) \([]\) \(27202560\) \(3.4999\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116160fx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 116160fx do not have complex multiplication.

Modular form 116160.2.a.fx

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