Properties

Label 13680.bx
Number of curves $1$
Conductor $13680$
CM no
Rank $0$

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

Elliptic curves in class 13680.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13680.bx1 13680bq1 \([0, 0, 0, -6867, 233874]\) \(-11993263569/972800\) \(-2904765235200\) \([]\) \(29568\) \(1.1377\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13680.bx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13680.bx do not have complex multiplication.

Modular form 13680.2.a.bx

sage: E.q_eigenform(10)
 
\(q + q^{5} + 5 q^{7} - 4 q^{11} - q^{13} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display