Elliptic curves in class 21.2-c over 3.3.321.1
Isogeny class 21.2-c contains
6 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 21.2-c1
| \( \bigl[a\) , \( a^{2} - 4\) , \( 1\) , \( -76353 a^{2} - 111512 a + 31036\) , \( -19874923 a^{2} - 29027423 a + 8077577\bigr] \)
|
| 21.2-c2
| \( \bigl[a\) , \( a^{2} - 4\) , \( 1\) , \( -384778 a^{2} - 561967 a + 156386\) , \( 261324115 a^{2} + 381665141 a - 106207520\bigr] \)
|
| 21.2-c3
| \( \bigl[a\) , \( a^{2} - 4\) , \( 1\) , \( -5836753 a^{2} - 8524602 a + 2372181\) , \( -16506416515 a^{2} - 24107701706 a + 6708548603\bigr] \)
|
| 21.2-c4
| \( \bigl[a\) , \( a^{2} - 4\) , \( 1\) , \( -5842223 a^{2} - 8532557 a + 2374396\) , \( -16473996726 a^{2} - 24060352337 a + 6695372505\bigr] \)
|
| 21.2-c5
| \( \bigl[a\) , \( 0\) , \( a^{2} - a - 2\) , \( -5 a^{2} - 19 a - 16\) , \( 23 a^{2} + 53 a + 22\bigr] \)
|
| 21.2-c6
| \( \bigl[a\) , \( 0\) , \( a^{2} - a - 2\) , \( -155 a^{2} - 234 a + 44\) , \( 2257 a^{2} + 3312 a - 885\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 3 & 6 & 3 & 6 \\
2 & 1 & 6 & 3 & 6 & 3 \\
3 & 6 & 1 & 2 & 9 & 18 \\
6 & 3 & 2 & 1 & 18 & 9 \\
3 & 6 & 9 & 18 & 1 & 2 \\
6 & 3 & 18 & 9 & 2 & 1
\end{array}\right)\)
