Isogeny class 320.1-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 320.1-c1
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - a^{2} - 4 a + 4\) , \( a^{2} + a - 3\) , \( 67 a^{3} + 64 a^{2} - 238 a - 244\) , \( 294 a^{3} + 322 a^{2} - 1052 a - 1190\bigr] \)
|
| 320.1-c2
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - a^{2} - 4 a + 4\) , \( a^{2} + a - 3\) , \( -133 a^{3} - 286 a^{2} + 562 a + 856\) , \( 2304 a^{3} + 1792 a^{2} - 7692 a - 7760\bigr] \)
|
| 320.1-c3
| \( \bigl[0\) , \( a^{2} - 3\) , \( 0\) , \( 1\) , \( 0\bigr] \)
|
| 320.1-c4
| \( \bigl[a^{3} - 2 a + 1\) , \( -1\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -13 a^{3} - 24 a^{2} + 18 a + 32\) , \( -39 a^{3} - 74 a^{2} + 54 a + 102\bigr] \)
|
| 320.1-c5
| \( \bigl[a^{3} - 2 a + 1\) , \( -1\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -93 a^{3} - 179 a^{2} + 118 a + 232\) , \( 947 a^{3} + 1810 a^{2} - 1281 a - 2468\bigr] \)
|
| 320.1-c6
| \( \bigl[a^{3} - 2 a + 1\) , \( -a^{3} + 3 a + 1\) , \( a^{2} + a - 3\) , \( -145 a^{3} + 126 a^{2} + 495 a - 518\) , \( -1447 a^{3} + 1324 a^{2} + 4969 a - 5320\bigr] \)
|
| 320.1-c7
| \( \bigl[a^{3} - 2 a + 1\) , \( -a + 1\) , \( a^{2} + a - 3\) , \( 45 a^{3} + 46 a^{2} - 187 a - 208\) , \( -448 a^{3} - 220 a^{2} + 1468 a + 1300\bigr] \)
|
| 320.1-c8
| \( \bigl[a^{3} - 2 a + 1\) , \( -a^{3} + 3 a + 1\) , \( a^{2} + a - 3\) , \( -45 a^{3} + 46 a^{2} + 185 a - 208\) , \( 447 a^{3} - 220 a^{2} - 1465 a + 1300\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 4 & 2 & 4 & 2 & 8 & 8 \\
2 & 1 & 8 & 4 & 8 & 4 & 16 & 16 \\
4 & 8 & 1 & 2 & 4 & 8 & 8 & 8 \\
2 & 4 & 2 & 1 & 2 & 4 & 4 & 4 \\
4 & 8 & 4 & 2 & 1 & 8 & 2 & 2 \\
2 & 4 & 8 & 4 & 8 & 1 & 16 & 16 \\
8 & 16 & 8 & 4 & 2 & 16 & 1 & 4 \\
8 & 16 & 8 & 4 & 2 & 16 & 4 & 1
\end{array}\right)\)
