Elliptic curves in class 21.1-c over \(\Q(\sqrt{42}) \)
Isogeny class 21.1-c contains
6 curves linked by isogenies of
degrees dividing 8.
Curve label |
Weierstrass Coefficients |
21.1-c1
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 1772 a - 11437\) , \( -284098 a + 1841276\bigr] \)
|
21.1-c2
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -48 a + 358\) , \( -248 a + 1718\bigr] \)
|
21.1-c3
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 212 a - 1327\) , \( -298 a + 2042\bigr] \)
|
21.1-c4
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 2032 a - 13122\) , \( 131652 a - 853092\bigr] \)
|
21.1-c5
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 2552 a - 16492\) , \( -170848 a + 1107332\bigr] \)
|
21.1-c6
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 40772 a - 264187\) , \( -11291398 a + 73176728\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)