Properties

Label 160446bg
Number of curves $1$
Conductor $160446$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 160446bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160446.p1 160446bg1 \([1, 0, 1, 866, -112]\) \(594583313951/344208384\) \(-41649214464\) \([]\) \(195840\) \(0.72718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160446bg1 has rank \(2\).

Complex multiplication

The elliptic curves in class 160446bg do not have complex multiplication.

Modular form 160446.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - 4 q^{7} - q^{8} + q^{9} + q^{10} + q^{12} + q^{13} + 4 q^{14} - q^{15} + q^{16} - q^{17} - q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display