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 \(1\).

Complex multiplication

The elliptic curves in class 151725.bg do not have complex multiplication.

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.