Elliptic Curve Isogeny Class with Cremona label 55545g (LMFDB label 55545.t)

• Label: 55545g
• Number of curves: 4
• Conductor: 55545
• CM: no
• Rank: 1

Elliptic curves in class 55545g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
55545.t3	55545g1	[1, 0, 1, -1334, -17869]	[2]	45056	\(\Gamma_0(N)\)-optimal
55545.t2	55545g2	[1, 0, 1, -3979, 74177]	[2, 2]	90112
55545.t4	55545g3	[1, 0, 1, 9246, 465637]	[2]	180224
55545.t1	55545g4	[1, 0, 1, -59524, 5584241]	[2]	180224

Rank

The elliptic curves in class 55545g have rank \(1\).

Modular form 55545.2.a.t

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.