Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 12 & 2 & 4 & 3 & 4 & 6 & 12 \\
12 & 1 & 6 & 12 & 4 & 3 & 2 & 4 \\
2 & 6 & 1 & 2 & 6 & 2 & 3 & 6 \\
4 & 12 & 2 & 1 & 12 & 4 & 6 & 3 \\
3 & 4 & 6 & 12 & 1 & 12 & 2 & 4 \\
4 & 3 & 2 & 4 & 12 & 1 & 6 & 12 \\
6 & 2 & 3 & 6 & 2 & 6 & 1 & 2 \\
12 & 4 & 6 & 3 & 4 & 12 & 2 & 1
\end{array}\right)\)
Elliptic curves in class 74529.7-b over \(\Q(\sqrt{-3}) \)
Isogeny class 74529.7-b contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 74529.7-b1
| \( \bigl[1\) , \( a\) , \( 1\) , \( 19946 a - 20055\) , \( 1258732 a - 644537\bigr] \)
|
| 74529.7-b2
| \( \bigl[1\) , \( a\) , \( 1\) , \( -43999 a + 84315\) , \( -6022556 a - 2391233\bigr] \)
|
| 74529.7-b3
| \( \bigl[1\) , \( a\) , \( 1\) , \( 1271 a - 1200\) , \( 20278 a - 12647\bigr] \)
|
| 74529.7-b4
| \( \bigl[1\) , \( a\) , \( 1\) , \( -214 a\) , \( 1840 a - 257\bigr] \)
|
| 74529.7-b5
| \( \bigl[1\) , \( a\) , \( 1\) , \( 22451 a - 39645\) , \( -143816 a + 1930231\bigr] \)
|
| 74529.7-b6
| \( \bigl[1\) , \( a\) , \( 1\) , \( 6356 a - 1545\) , \( -48644 a - 145157\bigr] \)
|
| 74529.7-b7
| \( \bigl[1\) , \( a\) , \( 1\) , \( -8494 a + 10455\) , \( -54188 a + 273373\bigr] \)
|
| 74529.7-b8
| \( \bigl[1\) , \( a\) , \( 1\) , \( -8209 a + 8970\) , \( 40186 a + 288955\bigr] \)
|
