Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 13520.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13520.u1 13520k1 \([0, 1, 0, -9520, -16925]\) \(43264/25\) \(55143396739600\) \([]\) \(29952\) \(1.3262\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13520.u1 has rank \(0\).

Complex multiplication

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

Modular form 13520.2.a.u

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