Properties

Label 202160.br
Number of curves $1$
Conductor $202160$
CM no
Rank $1$

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

Elliptic curves in class 202160.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202160.br1 202160z1 \([0, 0, 0, -98192, -11835024]\) \(196145197056/153125\) \(81737331200000\) \([]\) \(576000\) \(1.6007\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202160.br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 202160.br do not have complex multiplication.

Modular form 202160.2.a.br

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