Elliptic curves in class 112.1-f over \(\Q(\sqrt{14}) \)
Isogeny class 112.1-f contains
6 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 112.1-f1
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 81847 a - 306244\) , \( -24502404 a + 91679601\bigr] \)
|
| 112.1-f2
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 247 a - 924\) , \( 9108 a - 34079\bigr] \)
|
| 112.1-f3
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -2153 a + 8056\) , \( -182080 a + 681281\bigr] \)
|
| 112.1-f4
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 17047 a - 63784\) , \( -1874592 a + 7014081\bigr] \)
|
| 112.1-f5
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 5047 a - 18884\) , \( 391484 a - 1464799\bigr] \)
|
| 112.1-f6
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 1310647 a - 4904004\) , \( -1576286340 a + 5897923441\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 9 & 3 & 6 & 18 & 2 \\
9 & 1 & 3 & 6 & 2 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 \\
18 & 2 & 6 & 3 & 1 & 9 \\
2 & 18 & 6 & 3 & 9 & 1
\end{array}\right)\)
