Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 5544h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5544.w1 5544h1 \([0, 0, 0, -111, -14933]\) \(-12967168/8251551\) \(-96246090864\) \([]\) \(5376\) \(0.78658\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5544h1 has rank \(1\).

Complex multiplication

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

Modular form 5544.2.a.h

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + q^{7} - q^{11} - 3 q^{13} - 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display