Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 12 & 4 & 4 & 6 & 3 & 2 & 12 \\
12 & 1 & 12 & 3 & 2 & 4 & 6 & 4 \\
4 & 12 & 1 & 4 & 6 & 12 & 2 & 3 \\
4 & 3 & 4 & 1 & 6 & 12 & 2 & 12 \\
6 & 2 & 6 & 6 & 1 & 2 & 3 & 2 \\
3 & 4 & 12 & 12 & 2 & 1 & 6 & 4 \\
2 & 6 & 2 & 2 & 3 & 6 & 1 & 6 \\
12 & 4 & 3 & 12 & 2 & 4 & 6 & 1
\end{array}\right)\)
Elliptic curves in class 74529.3-b over \(\Q(\sqrt{-3}) \)
Isogeny class 74529.3-b contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 74529.3-b1
| \( \bigl[a\) , \( a\) , \( 1\) , \( 20054 a - 19946\) , \( -1258732 a + 614195\bigr] \)
|
| 74529.3-b2
| \( \bigl[a\) , \( a\) , \( 1\) , \( -8971 a + 8209\) , \( -40186 a + 329141\bigr] \)
|
| 74529.3-b3
| \( \bigl[a\) , \( a\) , \( 1\) , \( 1544 a - 6356\) , \( 48644 a - 193801\bigr] \)
|
| 74529.3-b4
| \( \bigl[a\) , \( a\) , \( 1\) , \( -a + 214\) , \( -1840 a + 1583\bigr] \)
|
| 74529.3-b5
| \( \bigl[a\) , \( a\) , \( 1\) , \( -10456 a + 8494\) , \( 54188 a + 219185\bigr] \)
|
| 74529.3-b6
| \( \bigl[a\) , \( a\) , \( 1\) , \( 39644 a - 22451\) , \( 143816 a + 1786415\bigr] \)
|
| 74529.3-b7
| \( \bigl[a\) , \( a\) , \( 1\) , \( 1199 a - 1271\) , \( -20278 a + 7631\bigr] \)
|
| 74529.3-b8
| \( \bigl[a\) , \( a\) , \( 1\) , \( -84316 a + 43999\) , \( 6022556 a - 8413789\bigr] \)
|
