Properties

Label 5544.p
Number of curves $1$
Conductor $5544$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5544.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5544.p1 5544m1 \([0, 0, 0, 813, 31883]\) \(137566156032/1096135733\) \(-473530636656\) \([]\) \(5376\) \(0.92173\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5544.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5544.p do not have complex multiplication.

Modular form 5544.2.a.p

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} - q^{11} + 3q^{13} + 2q^{17} - 5q^{19} + O(q^{20})\)  Toggle raw display