Properties

Label 13520i
Number of curves $1$
Conductor $13520$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 13520i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13520.w1 13520i1 \([0, 1, 0, -9520, -359657]\) \(7311616/25\) \(326292288400\) \([]\) \(19968\) \(1.0728\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13520i1 has rank \(0\).

Complex multiplication

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

Modular form 13520.2.a.i

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