Properties

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

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

Elliptic curves in class 13552u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13552.a1 13552u1 \([0, 0, 0, -2035099, 1834370890]\) \(-8773917273/8605184\) \(-914212090583988568064\) \([]\) \(1140480\) \(2.7180\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13552u1 has rank \(1\).

Complex multiplication

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

Modular form 13552.2.a.u

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 2 q^{5} - q^{7} + 6 q^{9} - 5 q^{13} - 6 q^{15} - 8 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display