Elliptic curves in class 253.1-A over 3.1.23.1
Isogeny class 253.1-A contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 253.1-A1
| \( \bigl[a^{2} + a + 1\) , \( -a^{2} - a - 1\) , \( 0\) , \( 1\) , \( 0\bigr] \)
|
| 253.1-A2
| \( \bigl[a + 1\) , \( a^{2} - a\) , \( 1\) , \( -5 a^{2} + 4 a + 5\) , \( -3 a^{2} - 3 a - 1\bigr] \)
|
| 253.1-A3
| \( \bigl[a^{2} + a + 1\) , \( -a^{2} - a - 1\) , \( 0\) , \( -10 a^{2} + 15 a - 14\) , \( -23 a^{2} + 37 a - 18\bigr] \)
|
| 253.1-A4
| \( \bigl[a^{2} + a\) , \( -a\) , \( a^{2} + 1\) , \( 174 a^{2} - 85 a - 169\) , \( 1133 a^{2} - 241 a - 824\bigr] \)
|
| 253.1-A5
| \( \bigl[a^{2} + 1\) , \( a - 1\) , \( 0\) , \( -449 a^{2} + 838 a - 639\) , \( -6934 a^{2} + 12248 a - 9210\bigr] \)
|
| 253.1-A6
| \( \bigl[a + 1\) , \( a^{2} - a\) , \( 1\) , \( -41 a - 30\) , \( -82 a^{2} - 80 a - 50\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 2 & 4 & 8 & 4 \\
8 & 1 & 4 & 2 & 4 & 8 \\
2 & 4 & 1 & 2 & 4 & 2 \\
4 & 2 & 2 & 1 & 2 & 4 \\
8 & 4 & 4 & 2 & 1 & 8 \\
4 & 8 & 2 & 4 & 8 & 1
\end{array}\right)\)
