Elliptic curves in class 16.3-a over 3.3.1957.1
Isogeny class 16.3-a contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 16.3-a1
| \( \bigl[a^{2} + a - 6\) , \( a^{2} + a - 5\) , \( a^{2} + a - 6\) , \( -6098 a^{2} - 11658 a + 20940\) , \( -625490 a^{2} - 1195627 a + 2148338\bigr] \)
|
| 16.3-a2
| \( \bigl[a^{2} + a - 6\) , \( a^{2} + a - 5\) , \( a^{2} + a - 6\) , \( -39498 a^{2} - 75503 a + 135650\) , \( 9280450 a^{2} + 17739609 a - 31875126\bigr] \)
|
| 16.3-a3
| \( \bigl[a\) , \( -a^{2} + 7\) , \( a^{2} - 6\) , \( 156 a^{2} + 320 a - 546\) , \( -20350 a^{2} - 38830 a + 69819\bigr] \)
|
| 16.3-a4
| \( \bigl[a\) , \( -a^{2} + 7\) , \( a^{2} - 6\) , \( -49 a^{2} - 90 a + 179\) , \( 284 a^{2} + 543 a - 973\bigr] \)
|
| 16.3-a5
| \( \bigl[a\) , \( -a^{2} + 7\) , \( a^{2} - 6\) , \( -269 a^{2} - 510 a + 934\) , \( -5275 a^{2} - 10082 a + 18119\bigr] \)
|
| 16.3-a6
| \( \bigl[a\) , \( -a^{2} + 7\) , \( a^{2} - 6\) , \( -28729 a^{2} - 42720 a + 84914\) , \( 5497565 a^{2} + 11567208 a - 20077861\bigr] \)
|
| 16.3-a7
| \( \bigl[a\) , \( -a^{2} + 7\) , \( a^{2} - 6\) , \( -27104 a^{2} - 51045 a + 92244\) , \( 5544986 a^{2} + 10615813 a - 19063791\bigr] \)
|
| 16.3-a8
| \( \bigl[a\) , \( -a^{2} + 7\) , \( a^{2} - 6\) , \( -26984 a^{2} - 51530 a + 92639\) , \( 5547729 a^{2} + 10604763 a - 19054809\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 4 & 4 & 2 & 20 & 10 & 20 \\
5 & 1 & 20 & 20 & 10 & 4 & 2 & 4 \\
4 & 20 & 1 & 4 & 2 & 5 & 10 & 20 \\
4 & 20 & 4 & 1 & 2 & 20 & 10 & 5 \\
2 & 10 & 2 & 2 & 1 & 10 & 5 & 10 \\
20 & 4 & 5 & 20 & 10 & 1 & 2 & 4 \\
10 & 2 & 10 & 10 & 5 & 2 & 1 & 2 \\
20 & 4 & 20 & 5 & 10 & 4 & 2 & 1
\end{array}\right)\)
