Elliptic curves in class 42.1-e over \(\Q(\sqrt{42}) \)
Isogeny class 42.1-e contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 42.1-e1
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -830 a - 5376\) , \( -78456 a - 508452\bigr] \)
|
| 42.1-e2
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 80290 a + 520344\) , \( -11628936 a - 75364116\bigr] \)
|
| 42.1-e3
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -21630 a - 140176\) , \( -1676056 a - 10862084\bigr] \)
|
| 42.1-e4
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -190110 a - 1232056\) , \( 112754264 a + 730731148\bigr] \)
|
| 42.1-e5
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -17470 a - 113216\) , \( -3291896 a - 21333924\bigr] \)
|
| 42.1-e6
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -279550 a - 1811696\) , \( -206313176 a - 1337062212\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
