Isogeny class 320.1-b contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 320.1-b1
| \( \bigl[a^{2} + a - 3\) , \( a^{3} + a^{2} - 2 a - 3\) , \( a^{3} - 2 a + 1\) , \( -135 a^{3} - 282 a^{2} + 571 a + 845\) , \( -2158 a^{3} - 1611 a^{2} + 7136 a + 7109\bigr] \)
|
| 320.1-b2
| \( \bigl[a^{2} + a - 3\) , \( a^{3} + a^{2} - 2 a - 3\) , \( a^{3} - 2 a + 1\) , \( 65 a^{3} + 68 a^{2} - 229 a - 255\) , \( -348 a^{3} - 391 a^{2} + 1246 a + 1439\bigr] \)
|
| 320.1-b3
| \( \bigl[0\) , \( -a^{2} + 3\) , \( 0\) , \( 1\) , \( 0\bigr] \)
|
| 320.1-b4
| \( \bigl[a^{3} - 2 a + 1\) , \( -a^{3} + a^{2} + 2 a - 3\) , \( 0\) , \( -93 a^{3} - 177 a^{2} + 117 a + 230\) , \( -1108 a^{3} - 2113 a^{2} + 1510 a + 2895\bigr] \)
|
| 320.1-b5
| \( \bigl[a^{3} - 2 a + 1\) , \( -a^{3} + a^{2} + 2 a - 3\) , \( 0\) , \( -13 a^{3} - 22 a^{2} + 17 a + 30\) , \( 18 a^{3} + 36 a^{2} - 25 a - 50\bigr] \)
|
| 320.1-b6
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{2} - a - 2\) , \( 0\) , \( -45 a^{3} + 49 a^{2} + 185 a - 214\) , \( -442 a^{3} + 197 a^{2} + 1506 a - 1325\bigr] \)
|
| 320.1-b7
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{2} - a - 2\) , \( 0\) , \( -145 a^{3} + 129 a^{2} + 495 a - 524\) , \( 1362 a^{3} - 1337 a^{2} - 4738 a + 5205\bigr] \)
|
| 320.1-b8
| \( \bigl[a^{3} - 2 a + 1\) , \( -a^{3} + a^{2} + 3 a - 2\) , \( 0\) , \( 45 a^{3} + 49 a^{2} - 185 a - 214\) , \( 442 a^{3} + 197 a^{2} - 1506 a - 1325\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 8 & 8 & 4 & 16 & 4 & 16 \\
2 & 1 & 4 & 4 & 2 & 8 & 2 & 8 \\
8 & 4 & 1 & 4 & 2 & 8 & 8 & 8 \\
8 & 4 & 4 & 1 & 2 & 2 & 8 & 2 \\
4 & 2 & 2 & 2 & 1 & 4 & 4 & 4 \\
16 & 8 & 8 & 2 & 4 & 1 & 16 & 4 \\
4 & 2 & 8 & 8 & 4 & 16 & 1 & 16 \\
16 & 8 & 8 & 2 & 4 & 4 & 16 & 1
\end{array}\right)\)
