Properties

Label 152592bo
Number of curves $1$
Conductor $152592$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 152592bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152592.j1 152592bo1 \([0, -1, 0, -26344, 1654768]\) \(-1708156114633/215622\) \(-255241248768\) \([]\) \(269568\) \(1.2109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152592bo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 152592bo do not have complex multiplication.

Modular form 152592.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 2 q^{7} + q^{9} + q^{11} + 3 q^{13} + 2 q^{15} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display