Properties

Label 156702cy
Number of curves $1$
Conductor $156702$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 156702cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.o1 156702cy1 \([1, 1, 0, -1642, -25052]\) \(4165509529/230256\) \(27089388144\) \([]\) \(138240\) \(0.75725\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702cy1 has rank \(1\).

Complex multiplication

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

Modular form 156702.2.a.cy

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