Elliptic curves in class 24339.5-b over \(\Q(\sqrt{-3}) \)
Isogeny class 24339.5-b contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 24339.5-b1
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( -45093 a + 47\) , \( -4282575 a + 2150105\bigr] \)
|
| 24339.5-b2
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 137 a + 27\) , \( -91 a + 747\bigr] \)
|
| 24339.5-b3
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( -2793 a + 32\) , \( -70245 a + 34361\bigr] \)
|
| 24339.5-b4
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 132 a + 32\) , \( -45 a + 755\bigr] \)
|
| 24339.5-b5
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( -7293 a + 6497\) , \( -57855 a - 232423\bigr] \)
|
| 24339.5-b6
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 132 a - 373\) , \( -3285 a + 4481\bigr] \)
|
| 24339.5-b7
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 52 a + 517\) , \( 6199 a - 2619\bigr] \)
|
| 24339.5-b8
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 3057 a - 7258\) , \( -135585 a + 217925\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 2 & 8 & 4 & 4 & 16 & 8 \\
16 & 1 & 8 & 2 & 16 & 4 & 4 & 8 \\
2 & 8 & 1 & 4 & 2 & 2 & 8 & 4 \\
8 & 2 & 4 & 1 & 8 & 2 & 2 & 4 \\
4 & 16 & 2 & 8 & 1 & 4 & 16 & 8 \\
4 & 4 & 2 & 2 & 4 & 1 & 4 & 2 \\
16 & 4 & 8 & 2 & 16 & 4 & 1 & 8 \\
8 & 8 & 4 & 4 & 8 & 2 & 8 & 1
\end{array}\right)\)
