Properties

Label 13260.a
Number of curves $1$
Conductor $13260$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 13260.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13260.a1 13260e1 \([0, -1, 0, -86, -339]\) \(-4447738624/1077375\) \(-17238000\) \([]\) \(4320\) \(0.10709\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13260.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13260.a do not have complex multiplication.

Modular form 13260.2.a.a

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