Properties

Label 86640.l
Number of curves $1$
Conductor $86640$
CM no
Rank $0$

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

Elliptic curves in class 86640.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86640.l1 86640bk1 \([0, -1, 0, -29564576, -62271777024]\) \(-41081844659329/314572800\) \(-21883154349194792140800\) \([]\) \(7223040\) \(3.1164\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86640.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 86640.l do not have complex multiplication.

Modular form 86640.2.a.l

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