Elliptic curves in class 132.1-j over \(\Q(\sqrt{33}) \)
Isogeny class 132.1-j contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 132.1-j1
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -3700247 a - 8778030\) , \( 6584149514 a + 15619454926\bigr] \)
|
| 132.1-j2
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( 42313 a + 100380\) , \( -9264796 a - 21978704\bigr] \)
|
| 132.1-j3
| \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 16568 a - 55868\) , \( 1442948 a - 4866032\bigr] \)
|
| 132.1-j4
| \( \bigl[1\) , \( -a - 1\) , \( a\) , \( -112 a - 280\) , \( 1256 a + 2944\bigr] \)
|
| 132.1-j5
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( 71103 a - 240022\) , \( -17532866 a + 59126874\bigr] \)
|
| 132.1-j6
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( 113 a - 392\) , \( -1144 a + 3808\bigr] \)
|
| 132.1-j7
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -3703927 a - 8786760\) , \( 6570424544 a + 15586895436\bigr] \)
|
| 132.1-j8
| \( \bigl[1\) , \( -a - 1\) , \( a\) , \( -71102 a - 168920\) , \( 17603968 a + 41762928\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 10 & 20 & 4 & 20 & 2 & 4 \\
5 & 1 & 2 & 4 & 20 & 4 & 10 & 20 \\
10 & 2 & 1 & 2 & 10 & 2 & 5 & 10 \\
20 & 4 & 2 & 1 & 20 & 4 & 10 & 5 \\
4 & 20 & 10 & 20 & 1 & 5 & 2 & 4 \\
20 & 4 & 2 & 4 & 5 & 1 & 10 & 20 \\
2 & 10 & 5 & 10 & 2 & 10 & 1 & 2 \\
4 & 20 & 10 & 5 & 4 & 20 & 2 & 1
\end{array}\right)\)
