Elliptic curve isogeny class with Cremona label 248430iz (LMFDB label 248430.iz)

• Label: 248430iz
• Number of curves: $4$
• Conductor: $248430$
• CM: no
• Rank: $0$

Elliptic curves in class 248430iz

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
248430.iz3	248430iz1	[1, 0, 0, -29156, 1207296]	[2]	1769472	\(\Gamma_0(N)\)-optimal
248430.iz2	248430iz2	[1, 0, 0, -194776, -32214820]	[2, 2]	3538944
248430.iz4	248430iz3	[1, 0, 0, 53654, -108681574]	[2]	7077888
248430.iz1	248430iz4	[1, 0, 0, -3093126, -2094101010]	[2]	7077888

Rank

The elliptic curves in class 248430iz have rank \(0\).

Complex multiplication

The elliptic curves in class 248430iz do not have complex multiplication.

Modular form 248430.2.a.iz

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 Cremona 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 Cremona labels.