Elliptic curves in class 72.1-j over \(\Q(\sqrt{19}) \)
Isogeny class 72.1-j contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 72.1-j1
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -51932 a + 226389\) , \( -98430345 a + 429047963\bigr] \)
|
| 72.1-j2
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 1\) , \( 0\bigr] \)
|
| 72.1-j3
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 14368 a - 62606\) , \( 1448893 a - 6315542\bigr] \)
|
| 72.1-j4
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 80668 a - 351601\) , \( -24905977 a + 108562673\bigr] \)
|
| 72.1-j5
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 213268 a - 929591\) , \( 111735445 a - 487043477\bigr] \)
|
| 72.1-j6
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 1274068 a - 5553511\) , \( -1635400609 a + 7128546023\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
