Elliptic curve isogeny class with LMFDB label 2496.c (Cremona label 2496c)

• Label: 2496.c
• Number of curves: $4$
• Conductor: $2496$
• CM: no
• Rank: $1$

Elliptic curves in class 2496.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2496.c1	2496c3	\([0, -1, 0, -3329, -72831]\)	\(62275269892/39\)	\(2555904\)	\([2]\)	\(1024\)	\(0.54970\)
2496.c2	2496c2	\([0, -1, 0, -209, -1071]\)	\(61918288/1521\)	\(24920064\)	\([2, 2]\)	\(512\)	\(0.20313\)
2496.c3	2496c1	\([0, -1, 0, -29, 45]\)	\(2725888/1053\)	\(1078272\)	\([2]\)	\(256\)	\(-0.14345\)	\(\Gamma_0(N)\)-optimal
2496.c4	2496c4	\([0, -1, 0, 31, -3615]\)	\(48668/85683\)	\(-5615321088\)	\([2]\)	\(1024\)	\(0.54970\)

Rank

The elliptic curves in class 2496.c have rank \(1\).

Complex multiplication

The elliptic curves in class 2496.c do not have complex multiplication.

Modular form 2496.2.a.c

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.