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 \(0\).

Complex multiplication

The elliptic curves in class 254320.e do not have complex multiplication.

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.