Isogeny class 23.1-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 23.1-a1
| \( \bigl[a^{3} + a^{2} - 2 a - 2\) , \( -a^{4} - a^{3} + 5 a^{2} + 4 a - 4\) , \( a^{3} - 3 a + 1\) , \( 2 a^{3} + a^{2} - 3 a + 1\) , \( 2 a^{4} - 4 a^{2} + a\bigr] \)
|
| 23.1-a2
| \( \bigl[a^{3} + a^{2} - 2 a - 2\) , \( -a^{4} - a^{3} + 5 a^{2} + 4 a - 4\) , \( a^{3} - 3 a + 1\) , \( -5 a^{4} + 7 a^{3} + 11 a^{2} - 3 a - 4\) , \( -a^{4} - 13 a^{3} + 27 a^{2} + 14 a - 8\bigr] \)
|
| 23.1-a3
| \( \bigl[a^{3} - 3 a + 1\) , \( -a^{4} + a^{3} + 5 a^{2} - 4 a - 5\) , \( 0\) , \( -88 a^{4} + 205 a^{3} + 9 a^{2} - 233 a - 49\) , \( -1417 a^{4} + 3592 a^{3} - 564 a^{2} - 3064 a + 554\bigr] \)
|
| 23.1-a4
| \( \bigl[a^{4} - 3 a^{2} + a + 1\) , \( a^{4} + a^{3} - 4 a^{2} - 4 a + 2\) , \( a^{4} - 3 a^{2} + 1\) , \( -959 a^{4} - 683 a^{3} + 2238 a^{2} + 491 a - 1224\) , \( -40616 a^{4} - 34613 a^{3} + 92332 a^{2} + 42697 a - 29653\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)
