Properties

Label 13552f
Number of curves $1$
Conductor $13552$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 13552f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13552.r1 13552f1 \([0, 1, 0, -161, 261611]\) \(-1024/65219\) \(-29578095835904\) \([]\) \(23040\) \(1.2637\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13552f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13552f do not have complex multiplication.

Modular form 13552.2.a.f

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