Isogeny class 145.1-c contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 145.1-c1
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -10292 a^{3} + 12520 a^{2} + 38585 a - 49539\) , \( -948241 a^{3} + 1146819 a^{2} + 3553297 a - 4536988\bigr] \)
|
| 145.1-c2
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -602 a^{3} + 800 a^{2} + 2255 a - 3129\) , \( -14993 a^{3} + 17699 a^{2} + 56109 a - 70194\bigr] \)
|
| 145.1-c3
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -647 a^{3} + 780 a^{2} + 2420 a - 3094\) , \( -14729 a^{3} + 17785 a^{2} + 55183 a - 70391\bigr] \)
|
| 145.1-c4
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -127 a^{3} + 145 a^{2} + 485 a - 609\) , \( -1287 a^{3} + 1556 a^{2} + 4797 a - 6107\bigr] \)
|
| 145.1-c5
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -47 a^{3} + 45 a^{2} + 170 a - 189\) , \( -230 a^{3} + 263 a^{2} + 853 a - 1066\bigr] \)
|
| 145.1-c6
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( 33 a^{3} + 35 a^{2} - 115 a - 109\) , \( -239 a^{3} - 120 a^{2} + 843 a + 319\bigr] \)
|
| 145.1-c7
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -7 a^{3} + 10 a^{2} + 25 a - 39\) , \( -25 a^{3} + 20 a^{2} + 92 a - 84\bigr] \)
|
| 145.1-c8
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -2 a^{3} + 5 a + 1\) , \( -a^{3} + a^{2} + 3 a - 4\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 2 & 3 & 4 & 12 & 6 & 12 \\
4 & 1 & 2 & 12 & 4 & 3 & 6 & 12 \\
2 & 2 & 1 & 6 & 2 & 6 & 3 & 6 \\
3 & 12 & 6 & 1 & 12 & 4 & 2 & 4 \\
4 & 4 & 2 & 12 & 1 & 12 & 6 & 3 \\
12 & 3 & 6 & 4 & 12 & 1 & 2 & 4 \\
6 & 6 & 3 & 2 & 6 & 2 & 1 & 2 \\
12 & 12 & 6 & 4 & 3 & 4 & 2 & 1
\end{array}\right)\)
