Properties

Label 13923.l
Number of curves $1$
Conductor $13923$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 13923.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13923.l1 13923k1 \([0, 0, 1, -129, 8235]\) \(-325660672/40000779\) \(-29160567891\) \([]\) \(17664\) \(0.68747\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13923.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13923.l do not have complex multiplication.

Modular form 13923.2.a.l

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 3 q^{5} + q^{7} - 6 q^{10} + 6 q^{11} - q^{13} + 2 q^{14} - 4 q^{16} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display