Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 116160.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116160.i1 116160fr1 \([0, -1, 0, -3000961, -1857786335]\) \(53189206081/4218750\) \(237063773675520000000\) \([]\) \(4257792\) \(2.6532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116160.i1 has rank \(1\).

Complex multiplication

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

Modular form 116160.2.a.i

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