Elliptic curve isogeny class with Cremona label 62400ff (LMFDB label 62400.m)

• Label: 62400ff
• Number of curves: $4$
• Conductor: $62400$
• CM: no
• Rank: $1$

Elliptic curves in class 62400ff

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
62400.m4	62400ff1	[0, -1, 0, 326092, -51090438]	[2]	1179648	\(\Gamma_0(N)\)-optimal
62400.m3	62400ff2	[0, -1, 0, -1627033, -451481063]	[2, 2]	2359296
62400.m2	62400ff3	[0, -1, 0, -11752033, 15191643937]	[4]	4718592
62400.m1	62400ff4	[0, -1, 0, -22752033, -41750856063]	[2]	4718592

Rank

The elliptic curves in class 62400ff have rank \(1\).

Complex multiplication

The elliptic curves in class 62400ff do not have complex multiplication.

Modular form 62400.2.a.ff

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.