Properties

Label 13552.q
Number of curves $1$
Conductor $13552$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 13552.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13552.q1 13552o1 \([0, 1, 0, -2581, 54943]\) \(-4194304/539\) \(-244447073024\) \([]\) \(11520\) \(0.91875\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13552.q1 has rank \(1\).

Complex multiplication

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

Modular form 13552.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} - 2 q^{9} + 4 q^{13} - q^{15} + 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display