Properties

Label 10080.bx
Number of curves $1$
Conductor $10080$
CM no
Rank $1$

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

Elliptic curves in class 10080.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10080.bx1 10080ca1 \([0, 0, 0, -2712, 54416]\) \(-738763264/875\) \(-2612736000\) \([]\) \(5760\) \(0.71853\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10080.bx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10080.bx do not have complex multiplication.

Modular form 10080.2.a.bx

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