Properties

Label 116886v
Number of curves $1$
Conductor $116886$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 116886v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.r1 116886v1 \([1, 0, 1, -14039, -6338950]\) \(-172715635009/9694992384\) \(-17175270402791424\) \([]\) \(844800\) \(1.7951\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 116886v do not have complex multiplication.

Modular form 116886.2.a.v

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