Elliptic curve isogeny class with Cremona label 127050cv (LMFDB label 127050.cr)

• Label: 127050cv
• Number of curves: $4$
• Conductor: $127050$
• CM: no
• Rank: $1$

Elliptic curves in class 127050cv

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
127050.cr3	127050cv1	[1, 0, 1, -10651, 266198]	[2]	491520	\(\Gamma_0(N)\)-optimal
127050.cr2	127050cv2	[1, 0, 1, -71151, -7114802]	[2, 2]	983040
127050.cr4	127050cv3	[1, 0, 1, 19599, -23994302]	[2]	1966080
127050.cr1	127050cv4	[1, 0, 1, -1129901, -462377302]	[2]	1966080

Rank

The elliptic curves in class 127050cv have rank \(1\).

Complex multiplication

The elliptic curves in class 127050cv do not have complex multiplication.

Modular form 127050.2.a.cv

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.