Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 13552l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13552.l1 13552l1 \([0, 0, 0, -803, 15906]\) \(-115538049/153664\) \(-76158337024\) \([]\) \(6912\) \(0.78080\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13552l1 has rank \(1\).

Complex multiplication

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

Modular form 13552.2.a.l

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