Isogeny class 23.5-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 23.5-a1
| \( \bigl[a^{4} + a^{3} - 4 a^{2} - 3 a + 2\) , \( -a^{4} + 3 a^{2} + a + 1\) , \( a\) , \( -308 a^{4} + 310 a^{3} + 1145 a^{2} - 661 a - 1021\) , \( -4125 a^{4} + 3861 a^{3} + 15898 a^{2} - 8465 a - 13846\bigr] \)
|
| 23.5-a2
| \( \bigl[a^{3} + a^{2} - 3 a - 1\) , \( -a^{4} + a^{3} + 5 a^{2} - 4 a - 5\) , \( a^{4} - 4 a^{2} + a + 3\) , \( 2 a^{4} - 3 a^{3} - 7 a^{2} + 5 a + 6\) , \( -a^{2} - a + 3\bigr] \)
|
| 23.5-a3
| \( \bigl[a^{3} + a^{2} - 3 a - 1\) , \( -a^{4} + a^{3} + 5 a^{2} - 4 a - 5\) , \( a^{4} - 4 a^{2} + a + 3\) , \( 12 a^{4} - 18 a^{3} - 37 a^{2} + 45 a + 6\) , \( -18 a^{4} + 26 a^{3} + 47 a^{2} - 72 a + 15\bigr] \)
|
| 23.5-a4
| \( \bigl[a^{3} + a^{2} - 3 a - 1\) , \( -a^{4} + a^{3} + 5 a^{2} - 4 a - 5\) , \( a^{4} - 4 a^{2} + a + 3\) , \( 247 a^{4} - 703 a^{3} - 792 a^{2} + 1375 a - 829\) , \( 3387 a^{4} - 14884 a^{3} - 12485 a^{2} + 30720 a - 11294\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 10 & 2 \\
5 & 1 & 2 & 10 \\
10 & 2 & 1 & 5 \\
2 & 10 & 5 & 1
\end{array}\right)\)
