Elliptic curves in class 14.1-b over 3.3.229.1
Isogeny class 14.1-b contains
12 curves linked by isogenies of
degrees dividing 24.
| Curve label |
Weierstrass Coefficients |
| 14.1-b1
| \( \bigl[a^{2} - 2\) , \( a^{2} - a - 2\) , \( 1\) , \( -501 a^{2} - 1104 a - 295\) , \( -14257 a^{2} - 30089 a - 6588\bigr] \)
|
| 14.1-b2
| \( \bigl[a^{2} - 2\) , \( a^{2} - a - 2\) , \( 1\) , \( 19 a^{2} + 11 a - 45\) , \( -115 a^{2} - 157 a + 106\bigr] \)
|
| 14.1-b3
| \( \bigl[a^{2} - 2\) , \( a^{2} - a - 2\) , \( 1\) , \( -31 a^{2} - 69 a - 20\) , \( -237 a^{2} - 501 a - 116\bigr] \)
|
| 14.1-b4
| \( \bigl[a^{2} - 2\) , \( a^{2} - a - 2\) , \( 1\) , \( -6 a^{2} - 14 a - 5\) , \( -23 a^{2} - 47 a - 8\bigr] \)
|
| 14.1-b5
| \( \bigl[a^{2} - 2\) , \( a^{2} - a - 2\) , \( 1\) , \( -a^{2} - 4 a\) , \( a^{2} + a\bigr] \)
|
| 14.1-b6
| \( \bigl[a^{2} - 2\) , \( -a^{2} + 3\) , \( a\) , \( 9 a^{2} - a - 41\) , \( 29 a^{2} + 18 a - 169\bigr] \)
|
| 14.1-b7
| \( \bigl[a^{2} - 2\) , \( -a^{2} + 3\) , \( a\) , \( -a^{2} - a + 4\) , \( -a + 1\bigr] \)
|
| 14.1-b8
| \( \bigl[a\) , \( -a\) , \( 0\) , \( 168 a^{2} - 54 a - 685\) , \( -2241 a^{2} + 541 a + 8767\bigr] \)
|
| 14.1-b9
| \( \bigl[a\) , \( -a\) , \( 0\) , \( -1752 a^{2} - 534 a + 5070\) , \( 14642 a^{2} - 26939 a - 100827\bigr] \)
|
| 14.1-b10
| \( \bigl[1\) , \( a^{2} - a - 3\) , \( a + 1\) , \( -11 a^{2} + 24 a - 7\) , \( -59 a^{2} + 120 a + 7\bigr] \)
|
| 14.1-b11
| \( \bigl[1\) , \( a^{2} - a - 3\) , \( a + 1\) , \( -a^{2} - a + 3\) , \( -1\bigr] \)
|
| 14.1-b12
| \( \bigl[1\) , \( a^{2} + a - 3\) , \( a^{2} - 3\) , \( -138 a^{2} + 327 a - 71\) , \( 637 a^{2} - 1062 a - 603\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 3 & 4 & 6 & 12 & 8 & 24 & 12 & 4 & 8 & 24 & 2 \\
3 & 1 & 12 & 2 & 4 & 24 & 8 & 4 & 12 & 24 & 8 & 6 \\
4 & 12 & 1 & 6 & 3 & 2 & 6 & 12 & 4 & 2 & 6 & 2 \\
6 & 2 & 6 & 1 & 2 & 12 & 4 & 2 & 6 & 12 & 4 & 3 \\
12 & 4 & 3 & 2 & 1 & 6 & 2 & 4 & 12 & 6 & 2 & 6 \\
8 & 24 & 2 & 12 & 6 & 1 & 3 & 24 & 8 & 4 & 12 & 4 \\
24 & 8 & 6 & 4 & 2 & 3 & 1 & 8 & 24 & 12 & 4 & 12 \\
12 & 4 & 12 & 2 & 4 & 24 & 8 & 1 & 3 & 24 & 8 & 6 \\
4 & 12 & 4 & 6 & 12 & 8 & 24 & 3 & 1 & 8 & 24 & 2 \\
8 & 24 & 2 & 12 & 6 & 4 & 12 & 24 & 8 & 1 & 3 & 4 \\
24 & 8 & 6 & 4 & 2 & 12 & 4 & 8 & 24 & 3 & 1 & 12 \\
2 & 6 & 2 & 3 & 6 & 4 & 12 & 6 & 2 & 4 & 12 & 1
\end{array}\right)\)
