Elliptic curve isogeny class with LMFDB label 206400.ev (Cremona label 206400fd)

• Label: 206400.ev
• Number of curves: $4$
• Conductor: $206400$
• CM: no
• Rank: $1$

Elliptic curves in class 206400.ev

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
206400.ev1	206400fd4	[0, -1, 0, -1341633, -593608863]	[2]	3538944
206400.ev2	206400fd2	[0, -1, 0, -141633, 5191137]	[2, 2]	1769472
206400.ev3	206400fd1	[0, -1, 0, -109633, 13991137]	[2]	884736	\(\Gamma_0(N)\)-optimal
206400.ev4	206400fd3	[0, -1, 0, 546367, 40279137]	[2]	3538944

Rank

The elliptic curves in class 206400.ev have rank \(1\).

Complex multiplication

The elliptic curves in class 206400.ev do not have complex multiplication.

Modular form 206400.2.a.ev

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.