Properties

Label 116886.bn
Number of curves $1$
Conductor $116886$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 116886.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.bn1 116886bp1 \([1, 0, 0, -7670011, -8176720111]\) \(-28167971010661685449/231722287104\) \(-410510166664249344\) \([]\) \(4147200\) \(2.5501\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886.bn1 has rank \(1\).

Complex multiplication

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

Modular form 116886.2.a.bn

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - q^{7} + q^{8} + q^{9} - q^{10} + q^{12} - 5 q^{13} - q^{14} - q^{15} + q^{16} + 4 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display