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 \(2\).

Complex multiplication

The elliptic curves in class 185020.o do not have complex multiplication.

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.