Elliptic curves in class 32.1-b over 3.3.316.1
Isogeny class 32.1-b contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 32.1-b1
| \( \bigl[a^{2} - 2\) , \( a^{2} - 4\) , \( a^{2} - 2\) , \( -5 a^{2} - 10 a - 10\) , \( -44 a^{2} - 48 a + 75\bigr] \)
|
| 32.1-b2
| \( \bigl[a^{2} - 2\) , \( a^{2} - 4\) , \( a^{2} - 2\) , \( 0\) , \( -1\bigr] \)
|
| 32.1-b3
| \( \bigl[a\) , \( a^{2} - a - 3\) , \( a\) , \( 122252877320 a^{2} - 64710474941 a - 519469656935\) , \( -34245221998777113 a^{2} + 18126563794145582 a + 145512761032249632\bigr] \)
|
| 32.1-b4
| \( \bigl[a\) , \( a^{2} - a - 3\) , \( a\) , \( -4408566115 a^{2} + 2333527139 a + 18732616995\) , \( -249975088401133 a^{2} + 132315958909892 a + 1062179281647772\bigr] \)
|
| 32.1-b5
| \( \bigl[a\) , \( -a^{2} + 4\) , \( a^{2} - 2\) , \( 202613715 a^{2} - 107246802 a - 860934154\) , \( -2295401845649 a^{2} + 1214994254958 a + 9753485033640\bigr] \)
|
| 32.1-b6
| \( \bigl[a\) , \( -a^{2} + 4\) , \( a^{2} - 2\) , \( 12663355 a^{2} - 6702927 a - 53808379\) , \( -35853515497 a^{2} + 18977860206 a + 152346626128\bigr] \)
|
| 32.1-b7
| \( \bigl[a\) , \( -a^{2} + 4\) , \( a^{2} - 2\) , \( 2501490 a^{2} - 1324082 a - 10629184\) , \( -3145625497 a^{2} + 1665031730 a + 13366204816\bigr] \)
|
| 32.1-b8
| \( \bigl[a\) , \( -a^{2} + 4\) , \( a^{2} - 2\) , \( 170740 a^{2} - 90377 a - 725499\) , \( -39378439 a^{2} + 20843660 a + 167324520\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 4 & 2 & 12 & 6 \\
3 & 1 & 12 & 4 & 12 & 6 & 4 & 2 \\
4 & 12 & 1 & 3 & 4 & 2 & 12 & 6 \\
12 & 4 & 3 & 1 & 12 & 6 & 4 & 2 \\
4 & 12 & 4 & 12 & 1 & 2 & 3 & 6 \\
2 & 6 & 2 & 6 & 2 & 1 & 6 & 3 \\
12 & 4 & 12 & 4 & 3 & 6 & 1 & 2 \\
6 & 2 & 6 & 2 & 6 & 3 & 2 & 1
\end{array}\right)\)
