Properties

Label 54080br
Number of curves $1$
Conductor $54080$
CM no
Rank $2$

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

Elliptic curves in class 54080br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54080.p1 54080br1 \([0, 1, 0, -2305, 42303]\) \(-244674248/3125\) \(-17305600000\) \([]\) \(69120\) \(0.77395\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54080br1 has rank \(2\).

Complex multiplication

The elliptic curves in class 54080br do not have complex multiplication.

Modular form 54080.2.a.br

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} - 5 q^{7} + q^{9} - q^{11} - 2 q^{15} - 2 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display