Elliptic curves in class 100.2-a over 3.3.148.1
Isogeny class 100.2-a contains
12 curves linked by isogenies of
degrees dividing 24.
| Curve label |
Weierstrass Coefficients |
| 100.2-a1
| \( \bigl[a^{2} - a - 2\) , \( a + 1\) , \( a^{2} - 1\) , \( -1133977 a^{2} - 1326850 a + 522550\) , \( -1211652310 a^{2} - 1417737994 a + 558342867\bigr] \)
|
| 100.2-a2
| \( \bigl[a^{2} - a - 2\) , \( a + 1\) , \( a^{2} - 1\) , \( -91841802 a^{2} - 107462850 a + 42321725\) , \( -882708628396 a^{2} - 1032845437714 a + 406761958031\bigr] \)
|
| 100.2-a3
| \( \bigl[a^{2} - a - 2\) , \( a + 1\) , \( a + 1\) , \( 14415 a^{2} + 16870 a - 6640\) , \( 1452659431 a^{2} + 1699737171 a - 669401630\bigr] \)
|
| 100.2-a4
| \( \bigl[a^{2} - a - 2\) , \( a + 1\) , \( a + 1\) , \( -129745 a^{2} - 151810 a + 59790\) , \( -39221573161 a^{2} - 45892632739 a + 18073737338\bigr] \)
|
| 100.2-a5
| \( \bigl[a^{2} - a - 2\) , \( a + 1\) , \( a + 1\) , \( -629720 a^{2} - 736825 a + 290185\) , \( 491951439 a^{2} + 575625731 a - 226696697\bigr] \)
|
| 100.2-a6
| \( \bigl[a^{2} - a - 2\) , \( a + 1\) , \( a + 1\) , \( -5764785 a^{2} - 6745295 a + 2656480\) , \( -13672472712 a^{2} - 15997975559 a + 6300427562\bigr] \)
|
| 100.2-a7
| \( \bigl[a^{2} - a - 2\) , \( a + 1\) , \( a + 1\) , \( -10028115 a^{2} - 11733760 a + 4621070\) , \( 31833826821 a^{2} + 37248330581 a - 14669381620\bigr] \)
|
| 100.2-a8
| \( \bigl[a^{2} - a - 2\) , \( a + 1\) , \( a + 1\) , \( -11794565 a^{2} - 13800660 a + 5435070\) , \( 19845961659 a^{2} + 23221491551 a - 9145239962\bigr] \)
|
| 100.2-a9
| \( \bigl[a^{2} - 1\) , \( -a - 1\) , \( a^{2} - a - 2\) , \( -648 a^{2} + 1600 a - 436\) , \( 15979 a^{2} - 39659 a + 10791\bigr] \)
|
| 100.2-a10
| \( \bigl[a^{2} - 1\) , \( -a - 1\) , \( a^{2} - a - 2\) , \( -8 a^{2} + 20 a - 6\) , \( 20 a^{2} - 49 a + 12\bigr] \)
|
| 100.2-a11
| \( \bigl[a^{2} - 1\) , \( -a^{2} + 2 a + 3\) , \( 0\) , \( -6979 a^{2} - 8164 a + 3220\) , \( -314976 a^{2} - 368548 a + 145146\bigr] \)
|
| 100.2-a12
| \( \bigl[a^{2} - 1\) , \( -a^{2} + 2 a + 3\) , \( 0\) , \( -485159 a^{2} - 567674 a + 223570\) , \( -339852422 a^{2} - 397656728 a + 156607780\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 3 & 8 & 24 & 4 & 12 & 8 & 24 & 12 & 4 & 2 & 6 \\
3 & 1 & 24 & 8 & 12 & 4 & 24 & 8 & 4 & 12 & 6 & 2 \\
8 & 24 & 1 & 3 & 2 & 6 & 4 & 12 & 24 & 8 & 4 & 12 \\
24 & 8 & 3 & 1 & 6 & 2 & 12 & 4 & 8 & 24 & 12 & 4 \\
4 & 12 & 2 & 6 & 1 & 3 & 2 & 6 & 12 & 4 & 2 & 6 \\
12 & 4 & 6 & 2 & 3 & 1 & 6 & 2 & 4 & 12 & 6 & 2 \\
8 & 24 & 4 & 12 & 2 & 6 & 1 & 3 & 24 & 8 & 4 & 12 \\
24 & 8 & 12 & 4 & 6 & 2 & 3 & 1 & 8 & 24 & 12 & 4 \\
12 & 4 & 24 & 8 & 12 & 4 & 24 & 8 & 1 & 3 & 6 & 2 \\
4 & 12 & 8 & 24 & 4 & 12 & 8 & 24 & 3 & 1 & 2 & 6 \\
2 & 6 & 4 & 12 & 2 & 6 & 4 & 12 & 6 & 2 & 1 & 3 \\
6 & 2 & 12 & 4 & 6 & 2 & 12 & 4 & 2 & 6 & 3 & 1
\end{array}\right)\)
