Isogeny class 23.2-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 23.2-a1
| \( \bigl[a^{4} + a^{3} - 4 a^{2} - 3 a + 3\) , \( a^{4} - a^{3} - 3 a^{2} + 2 a\) , \( a^{4} - 3 a^{2}\) , \( -a^{3} - a^{2} + a\) , \( -2 a^{3} - a^{2} + 4 a\bigr] \)
|
| 23.2-a2
| \( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( a^{2} + a - 1\) , \( a^{4} + a^{3} - 4 a^{2} - 2 a + 2\) , \( 49 a^{4} - 67 a^{3} - 121 a^{2} + 192 a - 44\) , \( 233 a^{4} - 388 a^{3} - 573 a^{2} + 1088 a - 256\bigr] \)
|
| 23.2-a3
| \( \bigl[a^{3} - 2 a\) , \( a^{4} - a^{3} - 4 a^{2} + 2 a + 3\) , \( a^{3} + a^{2} - 2 a - 2\) , \( -187 a^{4} - 46 a^{3} + 506 a^{2} - 163 a - 437\) , \( -3375 a^{4} - 1423 a^{3} + 9018 a^{2} - 208 a - 5628\bigr] \)
|
| 23.2-a4
| \( \bigl[a^{3} + a^{2} - 3 a - 1\) , \( -a^{4} - a^{3} + 5 a^{2} + 2 a - 3\) , \( a^{4} - 4 a^{2} + a + 3\) , \( -4278 a^{4} + 3350 a^{3} + 17601 a^{2} - 8315 a - 15116\) , \( -209580 a^{4} + 154663 a^{3} + 874447 a^{2} - 386208 a - 735950\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)
