Properties

Label 5544d
Number of curves $1$
Conductor $5544$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 5544d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5544.j1 5544d1 \([0, 0, 0, 7317, -860841]\) \(137566156032/1096135733\) \(-345203834122224\) \([]\) \(16128\) \(1.4710\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5544d1 has rank \(1\).

Complex multiplication

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

Modular form 5544.2.a.d

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