Elliptic curve isogeny class with LMFDB label 185020.o (Cremona label 185020m)

• Label: 185020.o
• Number of curves: 4
• Conductor: 185020
• CM: no
• Rank: 2

Elliptic curves in class 185020.o

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
185020.o1	185020m4	[0, -1, 0, -5971380, -5614436728]	[2]	5225472
185020.o2	185020m3	[0, -1, 0, -374525, -86982730]	[2]	2612736
185020.o3	185020m2	[0, -1, 0, -84380, -5303128]	[2]	1741824
185020.o4	185020m1	[0, -1, 0, -38125, 2819250]	[2]	870912	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 185020.o have rank \(2\).

Modular form 185020.2.a.o

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.