Properties

Label 116160.fr
Number of curves $1$
Conductor $116160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fr1")
 
E.isogeny_class()
 

Elliptic curves in class 116160.fr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116160.fr1 116160de1 \([0, 1, 0, 59, -541]\) \(11264/75\) \(-148684800\) \([]\) \(30720\) \(0.24984\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116160.fr1 has rank \(1\).

Complex multiplication

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

Modular form 116160.2.a.fr

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