Elliptic Curve Isogeny Class with Cremona label 5445g (LMFDB label 5445.c)

• Label: 5445g
• Number of curves: 8
• Conductor: 5445
• CM: no
• Rank: 1

Elliptic curves in class 5445g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
5445.c7	5445g1	[1, -1, 1, -23, 6702]	[2]	2560	\(\Gamma_0(N)\)-optimal
5445.c6	5445g2	[1, -1, 1, -5468, 154806]	[2, 2]	5120
5445.c5	5445g3	[1, -1, 1, -10913, -200208]	[2, 2]	10240
5445.c4	5445g4	[1, -1, 1, -87143, 9923136]	[2]	10240
5445.c2	5445g5	[1, -1, 1, -147038, -21653508]	[2, 2]	20480
5445.c8	5445g6	[1, -1, 1, 38092, -1533144]	[2]	20480
5445.c1	5445g7	[1, -1, 1, -2352263, -1388010918]	[2]	40960
5445.c3	5445g8	[1, -1, 1, -119813, -29940798]	[2]	40960

Rank

The elliptic curves in class 5445g have rank \(1\).

Modular form 5445.2.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 Cremona numbering.

\(\left(\begin{array}{rrrrrrrr} 1 & 2 & 4 & 4 & 8 & 8 & 16 & 16 \\ 2 & 1 & 2 & 2 & 4 & 4 & 8 & 8 \\ 4 & 2 & 1 & 4 & 2 & 2 & 4 & 4 \\ 4 & 2 & 4 & 1 & 8 & 8 & 16 & 16 \\ 8 & 4 & 2 & 8 & 1 & 4 & 2 & 2 \\ 8 & 4 & 2 & 8 & 4 & 1 & 8 & 8 \\ 16 & 8 & 4 & 16 & 2 & 8 & 1 & 4 \\ 16 & 8 & 4 & 16 & 2 & 8 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.