Properties

Label 4544j
Number of curves $1$
Conductor $4544$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 4544j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4544.a1 4544j1 \([0, 0, 0, -168076, 26412784]\) \(2003092024307193/9529458688\) \(2498090418307072\) \([]\) \(62208\) \(1.8038\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4544j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4544j do not have complex multiplication.

Modular form 4544.2.a.j

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{5} - 3 q^{7} + 6 q^{9} + 6 q^{11} + 5 q^{13} + 6 q^{15} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display