Properties

Label 13456l
Number of curves $1$
Conductor $13456$
CM no
Rank $0$

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

Elliptic curves in class 13456l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13456.a1 13456l1 \([0, 0, 0, -15979, -1121894]\) \(-185193/116\) \(-282621973446656\) \([]\) \(80640\) \(1.4746\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13456l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13456l do not have complex multiplication.

Modular form 13456.2.a.l

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 3 q^{5} + 2 q^{7} + 6 q^{9} - q^{11} + 3 q^{13} + 9 q^{15} + 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display