Properties

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

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Show commands: SageMath
E = EllipticCurve("ft1")
 
E.isogeny_class()
 

Elliptic curves in class 116160ft

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116160.h1 116160ft1 \([0, -1, 0, -312341, -71855859]\) \(-7929856/675\) \(-286847166147379200\) \([]\) \(1520640\) \(2.0946\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116160ft1 has rank \(1\).

Complex multiplication

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

Modular form 116160.2.a.ft

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