Elliptic curve isogeny class with LMFDB label 189630.di (Cremona label 189630bg)

• Label: 189630.di
• Number of curves: $4$
• Conductor: $189630$
• CM: no
• Rank: $0$

Elliptic curves in class 189630.di

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
189630.di1	189630bg3	[1, -1, 1, -369788, 86054217]	[2]	1769472
189630.di2	189630bg2	[1, -1, 1, -39038, -734583]	[2, 2]	884736
189630.di3	189630bg1	[1, -1, 1, -30218, -2011719]	[2]	442368	\(\Gamma_0(N)\)-optimal
189630.di4	189630bg4	[1, -1, 1, 150592, -5892519]	[2]	1769472

Rank

The elliptic curves in class 189630.di have rank \(0\).

Complex multiplication

The elliptic curves in class 189630.di do not have complex multiplication.

Modular form 189630.2.a.di

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.