Isogeny class 23.4-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 23.4-a1
| \( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a\) , \( -a^{4} - a^{3} + 5 a^{2} + 3 a - 5\) , \( a^{4} + a^{3} - 4 a^{2} - 2 a + 3\) , \( -2681 a^{4} - 1331 a^{3} + 7125 a^{2} + 587 a - 4049\) , \( -146736 a^{4} - 108973 a^{3} + 354020 a^{2} + 126719 a - 132130\bigr] \)
|
| 23.4-a2
| \( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a\) , \( -a^{4} - a^{3} + 5 a^{2} + 3 a - 5\) , \( a^{4} + a^{3} - 4 a^{2} - 2 a + 3\) , \( -136 a^{4} - 116 a^{3} + 365 a^{2} + 142 a - 269\) , \( -2624 a^{4} - 2311 a^{3} + 6124 a^{2} + 3032 a - 2236\bigr] \)
|
| 23.4-a3
| \( \bigl[a^{4} + a^{3} - 3 a^{2} - 3 a\) , \( a^{4} + a^{3} - 3 a^{2} - 3 a + 1\) , \( a^{4} + a^{3} - 4 a^{2} - 3 a + 2\) , \( -7 a^{4} + 26 a^{3} + 4 a^{2} - 50 a + 12\) , \( -45 a^{4} + 84 a^{3} + 135 a^{2} - 274 a + 66\bigr] \)
|
| 23.4-a4
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{4} - 4 a^{2} + 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( a^{4} - 2 a^{3} - 3 a^{2} + 6 a\) , \( a^{3} - 2 a\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)
