Properties

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

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Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 156702bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.v1 156702bv1 \([1, 0, 1, -8405, -24160]\) \(558051585337/320925696\) \(37756587208704\) \([]\) \(626688\) \(1.2948\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702bv1 has rank \(1\).

Complex multiplication

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

Modular form 156702.2.a.bv

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