Properties

Label 167334k
Number of curves $1$
Conductor $167334$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 167334k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
167334.b1 167334k1 \([1, 1, 0, 15714871, -7618392891]\) \(19785968032823/12608077824\) \(-273493939962239627821056\) \([]\) \(30788352\) \(3.1861\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 167334k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 167334k do not have complex multiplication.

Modular form 167334.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - 3 q^{5} + q^{6} + 3 q^{7} - q^{8} + q^{9} + 3 q^{10} + 6 q^{11} - q^{12} - 2 q^{13} - 3 q^{14} + 3 q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display