Elliptic curves in class 42.1-h over \(\Q(\sqrt{42}) \)
Isogeny class 42.1-h contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 42.1-h1
| \( \bigl[a + 1\) , \( -a\) , \( a\) , \( 205 a - 1334\) , \( 10220 a - 66228\bigr] \)
|
| 42.1-h2
| \( \bigl[a + 1\) , \( -a\) , \( a\) , \( -20075 a + 130096\) , \( 1413470 a - 9160326\bigr] \)
|
| 42.1-h3
| \( \bigl[a + 1\) , \( -a\) , \( a\) , \( 5405 a - 35034\) , \( 220320 a - 1427832\bigr] \)
|
| 42.1-h4
| \( \bigl[a + 1\) , \( -a\) , \( a\) , \( 47525 a - 308004\) , \( -13999230 a + 90725382\bigr] \)
|
| 42.1-h5
| \( \bigl[a + 1\) , \( -a\) , \( a\) , \( 4365 a - 28294\) , \( 420220 a - 2723332\bigr] \)
|
| 42.1-h6
| \( \bigl[a + 1\) , \( -a\) , \( a\) , \( 69885 a - 452914\) , \( 25928920 a - 168038608\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
