Properties

Label 83259.l
Number of curves $1$
Conductor $83259$
CM no
Rank $0$

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

Elliptic curves in class 83259.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
83259.l1 83259o1 \([1, -1, 0, 13719, 2980412]\) \(783/11\) \(-4011475985534259\) \([]\) \(341040\) \(1.6747\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 83259.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 83259.l do not have complex multiplication.

Modular form 83259.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} + 2 q^{5} - 2 q^{7} - 3 q^{8} + 2 q^{10} + q^{11} - 2 q^{14} - q^{16} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display