Elliptic curves in class 223.3-A over 3.1.23.1
Isogeny class 223.3-A contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 223.3-A1
| \( \bigl[1\) , \( a^{2}\) , \( a^{2} + a + 1\) , \( -16 a^{2} + 26 a - 22\) , \( 37 a^{2} - 68 a + 52\bigr] \)
|
| 223.3-A2
| \( \bigl[a\) , \( a^{2} - a - 1\) , \( 1\) , \( -a^{2}\) , \( 0\bigr] \)
|
| 223.3-A3
| \( \bigl[a^{2}\) , \( -a^{2} - a\) , \( a^{2} + 1\) , \( 15 a^{2} - 34 a - 40\) , \( 66 a^{2} - 98 a - 108\bigr] \)
|
| 223.3-A4
| \( \bigl[a^{2} + 1\) , \( -a^{2} - a\) , \( a^{2} + a + 1\) , \( -22604 a^{2} + 39664 a - 29941\) , \( 2340639 a^{2} - 4107538 a + 3100689\bigr] \)
|
| 223.3-A5
| \( \bigl[a\) , \( a^{2} - a - 1\) , \( 1\) , \( -11 a^{2} + 40 a\) , \( -84 a^{2} + 34 a + 18\bigr] \)
|
| 223.3-A6
| \( \bigl[a^{2} + a + 1\) , \( -a^{2} - a - 1\) , \( 0\) , \( 2058 a^{2} - 1279 a - 2138\) , \( -53646 a^{2} + 19860 a + 45562\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 8 & 4 & 2 & 4 \\
8 & 1 & 4 & 2 & 4 & 8 \\
8 & 4 & 1 & 2 & 4 & 8 \\
4 & 2 & 2 & 1 & 2 & 4 \\
2 & 4 & 4 & 2 & 1 & 2 \\
4 & 8 & 8 & 4 & 2 & 1
\end{array}\right)\)
