Elliptic curves in class 16.2-a over 3.3.316.1
Isogeny class 16.2-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 16.2-a1
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 37178 a^{2} - 19692 a - 157999\) , \( 5562481 a^{2} - 2944283 a - 23635709\bigr] \)
|
| 16.2-a2
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -6407 a^{2} + 3208 a + 26891\) , \( 17854891 a^{2} - 9448825 a - 75864197\bigr] \)
|
| 16.2-a3
| \( \bigl[a\) , \( -a^{2} - a + 2\) , \( a^{2} - 2\) , \( 5718326614 a^{2} - 3026804944 a - 24297973164\) , \( 344200023976745 a^{2} - 182190779570766 a - 1462554275103174\bigr] \)
|
| 16.2-a4
| \( \bigl[a\) , \( -a^{2} - a + 2\) , \( a\) , \( -710 a^{2} + 377 a + 3018\) , \( -11698 a^{2} + 6191 a + 49704\bigr] \)
|
| 16.2-a5
| \( \bigl[a\) , \( -a^{2} + a + 3\) , \( a^{2} + a - 2\) , \( 108 a^{2} - 82 a - 507\) , \( -1006 a^{2} + 425 a + 4083\bigr] \)
|
| 16.2-a6
| \( \bigl[a\) , \( -a^{2} + a + 3\) , \( a^{2} + a - 2\) , \( -7 a^{2} - 22 a - 17\) , \( -65 a^{2} - 71 a + 85\bigr] \)
|
| 16.2-a7
| \( \bigl[a\) , \( -a^{2} + a + 3\) , \( a^{2} + a - 2\) , \( -2 a^{2} - 2 a + 3\) , \( -2 a^{2} - 3 a + 1\bigr] \)
|
| 16.2-a8
| \( \bigl[a\) , \( -a^{2} + a + 3\) , \( a^{2} + a - 2\) , \( -202 a^{2} - 282 a + 153\) , \( -3296 a^{2} - 4399 a + 2863\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 2 & 4 & 8 & 4 & 2 & 8 \\
2 & 1 & 4 & 8 & 16 & 8 & 4 & 16 \\
2 & 4 & 1 & 8 & 16 & 8 & 4 & 16 \\
4 & 8 & 8 & 1 & 8 & 4 & 2 & 8 \\
8 & 16 & 16 & 8 & 1 & 2 & 4 & 4 \\
4 & 8 & 8 & 4 & 2 & 1 & 2 & 2 \\
2 & 4 & 4 & 2 & 4 & 2 & 1 & 4 \\
8 & 16 & 16 & 8 & 4 & 2 & 4 & 1
\end{array}\right)\)
