Properties

Label 21600.bx
Number of curves $1$
Conductor $21600$
CM no
Rank $1$

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

Elliptic curves in class 21600.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21600.bx1 21600b1 \([0, 0, 0, 600, 2000]\) \(1536\) \(-15552000000\) \([]\) \(12288\) \(0.64449\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21600.bx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 21600.bx do not have complex multiplication.

Modular form 21600.2.a.bx

sage: E.q_eigenform(10)
 
\(q + q^{7} + 2 q^{11} - q^{13} + 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display