Elliptic curves in class 75.1-c over \(\Q(\sqrt{33}) \)
Isogeny class 75.1-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 75.1-c1
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -40488 a - 96046\) , \( 14153084 a + 33575097\bigr] \)
|
| 75.1-c2
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -8 a - 16\) , \( -3146 a - 7463\bigr] \)
|
| 75.1-c3
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( 12872 a + 30539\) , \( 703959 a + 1669989\bigr] \)
|
| 75.1-c4
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -3688 a - 8746\) , \( 99384 a + 235767\bigr] \)
|
| 75.1-c5
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -1848 a - 4381\) , \( -70321 a - 166821\bigr] \)
|
| 75.1-c6
| \( \bigl[1\) , \( a - 1\) , \( a\) , \( 49687 a - 167558\) , \( -10264010 a + 34613127\bigr] \)
|
| 75.1-c7
| \( \bigl[1\) , \( a - 1\) , \( a\) , \( 29447 a - 99303\) , \( 4631145 a - 15617526\bigr] \)
|
| 75.1-c8
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -794888 a - 1885696\) , \( 654612934 a + 1552926037\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
