Isogeny class 145.3-c contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 145.3-c1
| \( \bigl[a\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -a^{3} - a^{2} + 3 a + 3\) , \( -3 a^{3} - 2 a^{2} + 8 a + 1\bigr] \)
|
| 145.3-c2
| \( \bigl[a\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -11 a^{3} - 11 a^{2} + 28 a + 8\) , \( -44 a^{3} - 36 a^{2} + 109 a + 24\bigr] \)
|
| 145.3-c3
| \( \bigl[a\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -16 a^{3} - 36 a^{2} + 63 a + 18\) , \( -14 a^{3} + 64 a^{2} - 50 a - 14\bigr] \)
|
| 145.3-c4
| \( \bigl[a\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -61 a^{3} - 46 a^{2} + 153 a + 23\) , \( -406 a^{3} - 334 a^{2} + 1009 a + 215\bigr] \)
|
| 145.3-c5
| \( \bigl[a\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -166 a^{3} - 146 a^{2} + 393 a + 78\) , \( -2158 a^{3} - 1772 a^{2} + 5412 a + 1214\bigr] \)
|
| 145.3-c6
| \( \bigl[a\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -946 a^{3} - 781 a^{2} + 2358 a + 508\) , \( -22779 a^{3} - 18841 a^{2} + 56695 a + 12461\bigr] \)
|
| 145.3-c7
| \( \bigl[a\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -951 a^{3} - 801 a^{2} + 2403 a + 523\) , \( -22813 a^{3} - 18780 a^{2} + 56708 a + 12443\bigr] \)
|
| 145.3-c8
| \( \bigl[a\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -15101 a^{3} - 12521 a^{2} + 37593 a + 8253\) , \( -1406717 a^{3} - 1163610 a^{2} + 3501286 a + 769983\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 4 & 3 & 4 & 6 & 12 & 12 \\
2 & 1 & 2 & 6 & 2 & 3 & 6 & 6 \\
4 & 2 & 1 & 12 & 4 & 6 & 3 & 12 \\
3 & 6 & 12 & 1 & 12 & 2 & 4 & 4 \\
4 & 2 & 4 & 12 & 1 & 6 & 12 & 3 \\
6 & 3 & 6 & 2 & 6 & 1 & 2 & 2 \\
12 & 6 & 3 & 4 & 12 & 2 & 1 & 4 \\
12 & 6 & 12 & 4 & 3 & 2 & 4 & 1
\end{array}\right)\)
