Elliptic Curve Isogeny Class with LMFDB label 151725.bg (Cremona label 151725t)

• Label: 151725.bg
• Number of curves: 4
• Conductor: 151725
• CM: no
• Rank: 1

Elliptic curves in class 151725.bg

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
151725.bg1	151725t4	[1, 0, 0, -812963, -282180708]	[2]	1966080
151725.bg2	151725t2	[1, 0, 0, -54338, -3765333]	[2, 2]	983040
151725.bg3	151725t1	[1, 0, 0, -18213, 894792]	[2]	491520	\(\Gamma_0(N)\)-optimal
151725.bg4	151725t3	[1, 0, 0, 126287, -23453458]	[2]	1966080

Rank

The elliptic curves in class 151725.bg have rank \(1\).

Modular form 151725.2.a.bg

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.