Elliptic curves in class 185.1-A over 3.1.23.1
Isogeny class 185.1-A contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 185.1-A1
| \( \bigl[a^{2} + a\) , \( -a^{2}\) , \( a^{2} + a\) , \( -2 a^{2} + a + 1\) , \( -a^{2} + 1\bigr] \)
|
| 185.1-A2
| \( \bigl[a^{2} + a\) , \( -a^{2}\) , \( a^{2} + a\) , \( -2 a^{2} + a - 4\) , \( -a^{2} + a - 3\bigr] \)
|
| 185.1-A3
| \( \bigl[1\) , \( -a^{2}\) , \( a^{2}\) , \( -46 a^{2} + 5 a + 20\) , \( 91 a^{2} - 84 a - 126\bigr] \)
|
| 185.1-A4
| \( \bigl[1\) , \( -a^{2}\) , \( a^{2}\) , \( -91 a^{2} + 85 a + 85\) , \( 240 a^{2} + 309 a + 34\bigr] \)
|
| 185.1-A5
| \( \bigl[a^{2} + a\) , \( -a^{2}\) , \( a^{2} + a\) , \( -2 a^{2} - 4 a + 1\) , \( 10 a - 13\bigr] \)
|
| 185.1-A6
| \( \bigl[a^{2} + a + 1\) , \( a^{2} + a\) , \( a^{2} + a + 1\) , \( -1407 a^{2} + 2472 a - 1882\) , \( -36680 a^{2} + 64355 a - 48601\bigr] \)
|
| 185.1-A7
| \( \bigl[a + 1\) , \( -a^{2}\) , \( 1\) , \( -19287979 a^{2} + 33848042 a - 25551131\) , \( -58496625438 a^{2} + 102654421532 a - 77491530156\bigr] \)
|
| 185.1-A8
| \( \bigl[a^{2} + a\) , \( -a^{2}\) , \( a^{2} + a\) , \( -142 a^{2} + 291 a - 179\) , \( -1459 a^{2} + 2242 a - 1431\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 4 & 3 & 4 & 6 & 12 & 12 \\
2 & 1 & 2 & 6 & 2 & 3 & 6 & 6 \\
4 & 2 & 1 & 12 & 4 & 6 & 3 & 12 \\
3 & 6 & 12 & 1 & 12 & 2 & 4 & 4 \\
4 & 2 & 4 & 12 & 1 & 6 & 12 & 3 \\
6 & 3 & 6 & 2 & 6 & 1 & 2 & 2 \\
12 & 6 & 3 & 4 & 12 & 2 & 1 & 4 \\
12 & 6 & 12 & 4 & 3 & 2 & 4 & 1
\end{array}\right)\)
