Properties

Label 5544.h
Number of curves $1$
Conductor $5544$
CM no
Rank $0$

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

Elliptic curves in class 5544.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5544.h1 5544q1 \([0, 0, 0, -14943, -728201]\) \(-31636584484096/1331669031\) \(-15532587577584\) \([]\) \(11520\) \(1.2978\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5544.h1 has rank \(0\).

Complex multiplication

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

Modular form 5544.2.a.h

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