Elliptic curves in class 14.1-k over \(\Q(\sqrt{42}) \)
Isogeny class 14.1-k contains
6 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 14.1-k1
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -23905663 a - 154926339\) , \( -162458649312 a - 1052852380264\bigr] \)
|
| 14.1-k2
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -73023 a - 473179\) , \( 55263928 a + 358151328\bigr] \)
|
| 14.1-k3
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 627937 a + 4069561\) , \( -1156642012 a - 7495896820\bigr] \)
|
| 14.1-k4
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -4979743 a - 32272359\) , \( -12626975292 a - 81832152532\bigr] \)
|
| 14.1-k5
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -1474943 a - 9558659\) , \( 2479075808 a + 16066247624\bigr] \)
|
| 14.1-k6
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -382797183 a - 2480809219\) , \( -10378740177632 a - 67261923867240\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 9 & 3 & 6 & 18 & 2 \\
9 & 1 & 3 & 6 & 2 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 \\
18 & 2 & 6 & 3 & 1 & 9 \\
2 & 18 & 6 & 3 & 9 & 1
\end{array}\right)\)
