Properties

Label 156702.x
Number of curves $1$
Conductor $156702$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 156702.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.x1 156702ca1 \([1, 0, 1, 1591, 13178]\) \(185666874071/138067254\) \(-331499476854\) \([]\) \(231360\) \(0.89880\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702.x1 has rank \(2\).

Complex multiplication

The elliptic curves in class 156702.x do not have complex multiplication.

Modular form 156702.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{8} + q^{9} + q^{10} - 5 q^{11} + q^{12} - q^{13} - q^{15} + q^{16} - 4 q^{17} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display