Elliptic curve isogeny class with Cremona label 221067h (LMFDB label 221067.m)

• Label: 221067h
• Number of curves: $4$
• Conductor: $221067$
• CM: no
• Rank: $1$

Elliptic curves in class 221067h

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
221067.m4	221067h1	[1, -1, 1, -36823469, 86930004516]	[2]	19906560	\(\Gamma_0(N)\)-optimal
221067.m3	221067h2	[1, -1, 1, -590912114, 5528967040248]	[2, 2]	39813120
221067.m1	221067h3	[1, -1, 1, -9454593479, 353846826376926]	[2]	79626240
221067.m2	221067h4	[1, -1, 1, -592649069, 5494828926678]	[2]	79626240

Rank

The elliptic curves in class 221067h have rank \(1\).

Complex multiplication

The elliptic curves in class 221067h do not have complex multiplication.

Modular form 221067.2.a.h

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.