Properties

Label 67158.br
Number of curves $1$
Conductor $67158$
CM no
Rank $1$

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

Elliptic curves in class 67158.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67158.br1 67158bq1 \([1, -1, 1, -543407, 149474103]\) \(24342833031142160809/871338958753536\) \(635206100931327744\) \([]\) \(946176\) \(2.1864\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67158.br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67158.br do not have complex multiplication.

Modular form 67158.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} - q^{7} + q^{8} + q^{10} - q^{11} + q^{13} - q^{14} + q^{16} + 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display