Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 13520p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13520.q1 13520p1 \([0, 1, 0, -5126, -34501]\) \(1141504/625\) \(8157307210000\) \([]\) \(29952\) \(1.1682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13520p1 has rank \(0\).

Complex multiplication

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

Modular form 13520.2.a.p

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