Elliptic curves in class 126.1-a over \(\Q(\sqrt{14}) \)
Isogeny class 126.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 126.1-a1
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -483 a - 1801\) , \( -25124 a - 94009\bigr] \)
|
| 126.1-a2
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 46317 a + 173309\) , \( -3968216 a - 14847709\bigr] \)
|
| 126.1-a3
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -12483 a - 46701\) , \( -532140 a - 1991089\bigr] \)
|
| 126.1-a4
| \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 109683 a - 410391\) , \( -37770816 a + 141325451\bigr] \)
|
| 126.1-a5
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -10083 a - 37721\) , \( -1075140 a - 4022809\bigr] \)
|
| 126.1-a6
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -161283 a - 603461\) , \( -68359644 a - 255778369\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
