Elliptic curve isogeny class with LMFDB label 254320.e (Cremona label 254320e)

• Label: 254320.e
• Number of curves: 4
• Conductor: 254320
• CM: no
• Rank: 0

Elliptic curves in class 254320.e

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
254320.e1	254320e4	[0, 1, 0, -2051996, 1130707480]	[2]	4478976
254320.e2	254320e3	[0, 1, 0, -128701, 17504334]	[2]	2239488
254320.e3	254320e2	[0, 1, 0, -28996, 1064280]	[2]	1492992
254320.e4	254320e1	[0, 1, 0, -13101, -569726]	[2]	746496	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 254320.e have rank \(0\).

Modular form 254320.2.a.e

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.