Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 156702.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.y1 156702by1 \([1, 0, 1, -2574, 54730]\) \(-16022066761/1813266\) \(-213328931634\) \([]\) \(153600\) \(0.91076\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702.y1 has rank \(1\).

Complex multiplication

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

Modular form 156702.2.a.y

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