Properties

Label 15600br
Number of curves $1$
Conductor $15600$
CM no
Rank $1$

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

Elliptic curves in class 15600br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.j1 15600br1 \([0, -1, 0, 792, -83088]\) \(34295/1872\) \(-2995200000000\) \([]\) \(23040\) \(1.0737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15600br do not have complex multiplication.

Modular form 15600.2.a.br

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 3 q^{11} - q^{13} + q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display