Elliptic curves in class 21.1-a over 3.3.257.1
Isogeny class 21.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 21.1-a1
| \( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -160 a^{2} + 399 a - 230\) , \( 2052 a^{2} - 6371 a + 3573\bigr] \)
|
| 21.1-a2
| \( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -60 a^{2} + 174 a - 100\) , \( -630 a^{2} + 1828 a - 986\bigr] \)
|
| 21.1-a3
| \( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -5 a^{2} + 9 a - 5\) , \( -12 a^{2} + 31 a - 18\bigr] \)
|
| 21.1-a4
| \( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -a\) , \( a - 3\bigr] \)
|
| 21.1-a5
| \( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -30 a^{2} + 4 a + 10\) , \( -62 a^{2} - 166 a + 150\bigr] \)
|
| 21.1-a6
| \( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -300 a^{2} - 471 a + 490\) , \( -5356 a^{2} - 7249 a + 7899\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
