Isogeny class 320.1-g contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 320.1-g1
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - 3 a - 1\) , \( a^{3} - 2 a + 1\) , \( -21 a^{3} - 43 a^{2} + 27 a + 62\) , \( -107 a^{3} - 204 a^{2} + 148 a + 282\bigr] \)
|
| 320.1-g2
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - 3 a - 1\) , \( a^{3} - 2 a + 1\) , \( -201 a^{3} - 448 a^{2} + 27 a + 287\) , \( -6493 a^{3} - 13023 a^{2} + 6703 a + 15182\bigr] \)
|
| 320.1-g3
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - 3 a - 1\) , \( 0\) , \( 321 a^{3} - 616 a^{2} - 428 a + 833\) , \( 6456 a^{3} - 12299 a^{2} - 8866 a + 16931\bigr] \)
|
| 320.1-g4
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - 3 a - 1\) , \( 0\) , \( -39 a^{3} + 74 a^{2} + 52 a - 97\) , \( 556 a^{3} - 1057 a^{2} - 768 a + 1459\bigr] \)
|
| 320.1-g5
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a - 1\) , \( a^{3} - 2 a + 1\) , \( 574 a^{3} + 445 a^{2} - 1924 a - 1946\) , \( 12775 a^{3} + 13021 a^{2} - 44818 a - 49928\bigr] \)
|
| 320.1-g6
| \( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \)
|
| 320.1-g7
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} - a^{2} - 2 a + 4\) , \( a^{3} + a^{2} - 3 a - 2\) , \( 11 a^{3} + 18 a^{2} - 21 a - 28\) , \( 92 a^{3} + 175 a^{2} - 125 a - 238\bigr] \)
|
| 320.1-g8
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} - a^{2} - 2 a + 4\) , \( a^{3} - 2 a + 1\) , \( -8 a^{3} - 15 a^{2} + 35 a + 53\) , \( -127 a^{3} - 142 a^{2} + 457 a + 529\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 2 & 2 & 4 & 2 & 4 & 4 \\
4 & 1 & 2 & 8 & 4 & 8 & 16 & 16 \\
2 & 2 & 1 & 4 & 2 & 4 & 8 & 8 \\
2 & 8 & 4 & 1 & 8 & 4 & 8 & 8 \\
4 & 4 & 2 & 8 & 1 & 8 & 16 & 16 \\
2 & 8 & 4 & 4 & 8 & 1 & 2 & 2 \\
4 & 16 & 8 & 8 & 16 & 2 & 1 & 4 \\
4 & 16 & 8 & 8 & 16 & 2 & 4 & 1
\end{array}\right)\)
