Properties

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

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 156702.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.bj1 156702v1 \([1, 1, 1, 7748, -52963]\) \(149966731065689/90763026432\) \(-31131718066176\) \([]\) \(609024\) \(1.2783\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702.bj1 has rank \(2\).

Complex multiplication

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

Modular form 156702.2.a.bj

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