Properties

Label 188760.br
Number of curves $1$
Conductor $188760$
CM no
Rank $1$

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

Elliptic curves in class 188760.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.br1 188760cj1 \([0, -1, 0, -41785, 3301597]\) \(-17790954496/195\) \(-88436325120\) \([]\) \(686400\) \(1.2547\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 188760.br do not have complex multiplication.

Modular form 188760.2.a.br

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 5 q^{7} + q^{9} - q^{13} - q^{15} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display