Elliptic curve isogeny class with LMFDB label 2576.j (Cremona label 2576l)

• Label: 2576.j
• Number of curves: $4$
• Conductor: $2576$
• CM: no
• Rank: $1$

Elliptic curves in class 2576.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2576.j1	2576l3	\([0, 0, 0, -1979, -33878]\)	\(209267191953/55223\)	\(226193408\)	\([2]\)	\(1280\)	\(0.58751\)
2576.j2	2576l2	\([0, 0, 0, -139, -390]\)	\(72511713/25921\)	\(106172416\)	\([2, 2]\)	\(640\)	\(0.24094\)
2576.j3	2576l1	\([0, 0, 0, -59, 170]\)	\(5545233/161\)	\(659456\)	\([2]\)	\(320\)	\(-0.10563\)	\(\Gamma_0(N)\)-optimal
2576.j4	2576l4	\([0, 0, 0, 421, -2742]\)	\(2014698447/1958887\)	\(-8023601152\)	\([4]\)	\(1280\)	\(0.58751\)

Rank

The elliptic curves in class 2576.j have rank \(1\).

Complex multiplication

The elliptic curves in class 2576.j do not have complex multiplication.

Modular form 2576.2.a.j

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.