Properties

Label 259182.br
Number of curves $1$
Conductor $259182$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 259182.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.br1 259182br1 \([1, -1, 0, 1248, -4781056]\) \(37125/1705984\) \(-9873706173585408\) \([]\) \(1858560\) \(1.7479\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182.br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 259182.br do not have complex multiplication.

Modular form 259182.2.a.br

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} + 4 q^{13} + q^{14} + q^{16} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display