Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 5544s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5544.o1 5544s1 \([0, 0, 0, -12, -5308]\) \(-1024/65219\) \(-12171430656\) \([]\) \(2880\) \(0.61409\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5544s1 has rank \(0\).

Complex multiplication

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

Modular form 5544.2.a.s

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