Elliptic curves in class 12348.2-b over \(\Q(\sqrt{-3}) \)
Isogeny class 12348.2-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 12348.2-b1
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 60 a + 36\) , \( 383 a - 768\bigr] \)
|
| 12348.2-b2
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -5790 a - 3474\) , \( 69683 a - 123240\bigr] \)
|
| 12348.2-b3
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 1560 a + 936\) , \( 7943 a - 16224\bigr] \)
|
| 12348.2-b4
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 13710 a + 8226\) , \( -638437 a + 1167672\bigr] \)
|
| 12348.2-b5
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 1260 a + 756\) , \( 17183 a - 33024\bigr] \)
|
| 12348.2-b6
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 20160 a + 12096\) , \( 1128503 a - 2107488\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
