Elliptic curves in class 132.1-i over \(\Q(\sqrt{33}) \)
Isogeny class 132.1-i contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 132.1-i1
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -14911 a - 35372\) , \( 9323190 a + 22117229\bigr] \)
|
| 132.1-i2
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -1648 a + 5561\) , \( 335412 a - 1131111\bigr] \)
|
| 132.1-i3
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -48 a - 144\) , \( 37 a + 139\bigr] \)
|
| 132.1-i4
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 39 a - 127\) , \( 205 a - 693\bigr] \)
|
| 132.1-i5
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -2031 a - 4817\) , \( -82815 a - 196461\bigr] \)
|
| 132.1-i6
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -29631 a - 70292\) , \( 4641870 a + 11011821\bigr] \)
|
| 132.1-i7
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -38 a - 89\) , \( -168 a - 399\bigr] \)
|
| 132.1-i8
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 49 a - 192\) , \( 10 a - 15\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
