Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 5544.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5544.v1 5544a1 \([0, 0, 0, -120231, -16047477]\) \(-610325920583424/55240493\) \(-17396777979504\) \([]\) \(23040\) \(1.5801\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5544.v1 has rank \(1\).

Complex multiplication

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

Modular form 5544.2.a.v

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} - q^{7} - q^{11} - 3 q^{13} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display