Properties

Label 166635.br
Number of curves $1$
Conductor $166635$
CM no
Rank $0$

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

Elliptic curves in class 166635.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166635.br1 166635bu1 \([1, -1, 0, 8595, -2393550]\) \(182074754111/6511640625\) \(-2511155602265625\) \([]\) \(806400\) \(1.6349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166635.br1 has rank \(0\).

Complex multiplication

The elliptic curves in class 166635.br do not have complex multiplication.

Modular form 166635.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - q^{5} + q^{7} - 3 q^{8} - q^{10} + 5 q^{11} + q^{13} + q^{14} - q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display