Properties

Label 13520.s
Number of curves $1$
Conductor $13520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 13520.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13520.s1 13520b1 \([0, 1, 0, -71036, -7310965]\) \(3037375744/25\) \(326292288400\) \([]\) \(29952\) \(1.3796\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13520.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13520.s do not have complex multiplication.

Modular form 13520.2.a.s

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