Elliptic curves in class 16.3-f over 3.3.733.1
Isogeny class 16.3-f contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 16.3-f1
| \( \bigl[a^{2} - 4\) , \( -a^{2} - a + 4\) , \( a^{2} - 4\) , \( -4258 a^{2} - 6456 a + 13517\) , \( 258740 a^{2} + 392840 a - 822010\bigr] \)
|
| 16.3-f2
| \( \bigl[a^{2} - 4\) , \( -a^{2} - a + 4\) , \( a^{2} - 4\) , \( -16243 a^{2} - 24656 a + 51597\) , \( -1816294 a^{2} - 2757459 a + 5770094\bigr] \)
|
| 16.3-f3
| \( \bigl[a^{2} + a - 4\) , \( a^{2} + a - 5\) , \( 0\) , \( 426216 a^{2} + 647127 a - 1354088\) , \( 805241892 a^{2} + 1222517425 a - 2558152312\bigr] \)
|
| 16.3-f4
| \( \bigl[a^{2} + a - 4\) , \( -a^{2} + 6\) , \( a\) , \( -2 a^{2} + 3 a + 9\) , \( a^{2} - 4 a + 8\bigr] \)
|
| 16.3-f5
| \( \bigl[a\) , \( -a^{2} + 4\) , \( 0\) , \( -57 a^{2} - 84 a + 181\) , \( 442 a^{2} + 670 a - 1402\bigr] \)
|
| 16.3-f6
| \( \bigl[a\) , \( -a^{2} + 4\) , \( 0\) , \( -897 a^{2} - 1369 a + 2861\) , \( 27605 a^{2} + 41911 a - 87698\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 2 & 4 & 2 & 4 \\
2 & 1 & 4 & 8 & 4 & 8 \\
2 & 4 & 1 & 8 & 4 & 8 \\
4 & 8 & 8 & 1 & 2 & 4 \\
2 & 4 & 4 & 2 & 1 & 2 \\
4 & 8 & 8 & 4 & 2 & 1
\end{array}\right)\)
