Properties

Label 36800br
Number of curves $1$
Conductor $36800$
CM no
Rank $1$

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

Elliptic curves in class 36800br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36800.dd1 36800br1 \([0, -1, 0, -73, 267]\) \(-5451776/23\) \(-184000\) \([]\) \(4480\) \(-0.13514\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36800br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 36800br do not have complex multiplication.

Modular form 36800.2.a.br

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - q^{7} + q^{9} + 2 q^{13} + 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display