Properties

Label 15600.bx
Number of curves $1$
Conductor $15600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 15600.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.bx1 15600t1 \([0, 1, 0, -2633, -80637]\) \(-504871936/394875\) \(-1579500000000\) \([]\) \(23040\) \(1.0393\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.bx1 has rank \(1\).

Complex multiplication

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

Modular form 15600.2.a.bx

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{7} + q^{9} + 3 q^{11} + q^{13} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display