Elliptic curves in class 112896.2-r over \(\Q(\sqrt{-3}) \)
Isogeny class 112896.2-r contains
10 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 112896.2-r1
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 8185\) , \( -327335 a + 167760\bigr] \)
|
| 112896.2-r2
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 25\) , \( 121 a - 48\bigr] \)
|
| 112896.2-r3
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a - 215\) , \( -2423 a + 1104\bigr] \)
|
| 112896.2-r4
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 1705\) , \( -25079 a + 13392\bigr] \)
|
| 112896.2-r5
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 11041 a - 19895\) , \( -679223 a + 865584\bigr] \)
|
| 112896.2-r6
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -11039 a - 8855\) , \( -690263 a - 195216\bigr] \)
|
| 112896.2-r7
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 505\) , \( 5209 a - 2352\bigr] \)
|
| 112896.2-r8
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 10561 a - 19415\) , \( -736055 a + 906000\bigr] \)
|
| 112896.2-r9
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -10559 a - 8855\) , \( -746615 a - 178800\bigr] \)
|
| 112896.2-r10
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 131065\) , \( -21044903 a + 10587984\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 9 & 3 & 6 & 18 & 18 & 18 & 9 & 9 & 2 \\
9 & 1 & 3 & 6 & 18 & 18 & 2 & 9 & 9 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 & 6 & 3 & 3 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 & 3 & 6 & 6 & 3 \\
18 & 18 & 6 & 3 & 1 & 9 & 9 & 2 & 18 & 9 \\
18 & 18 & 6 & 3 & 9 & 1 & 9 & 18 & 2 & 9 \\
18 & 2 & 6 & 3 & 9 & 9 & 1 & 18 & 18 & 9 \\
9 & 9 & 3 & 6 & 2 & 18 & 18 & 1 & 9 & 18 \\
9 & 9 & 3 & 6 & 18 & 2 & 18 & 9 & 1 & 18 \\
2 & 18 & 6 & 3 & 9 & 9 & 9 & 18 & 18 & 1
\end{array}\right)\)
