Properties

Label 13552y
Number of curves $1$
Conductor $13552$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 13552y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13552.t1 13552y1 \([0, 1, 0, 5768, -3500]\) \(24167/14\) \(-12292195672064\) \([]\) \(25344\) \(1.2011\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13552y1 has rank \(0\).

Complex multiplication

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

Modular form 13552.2.a.y

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