Elliptic curves in class 675.2-b over \(\Q(\sqrt{13}) \)
Isogeny class 675.2-b contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 675.2-b1
| \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 111 a - 439\) , \( -3409 a + 5719\bigr] \)
|
| 675.2-b2
| \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( a + 1\) , \( a - 1\bigr] \)
|
| 675.2-b3
| \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -34 a + 141\) , \( -146 a + 335\bigr] \)
|
| 675.2-b4
| \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 11 a - 39\) , \( -29 a + 29\bigr] \)
|
| 675.2-b5
| \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 6 a - 19\) , \( 14 a - 35\bigr] \)
|
| 675.2-b6
| \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 136 a - 539\) , \( -2504 a + 4079\bigr] \)
|
| 675.2-b7
| \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 81 a - 319\) , \( 1049 a - 2015\bigr] \)
|
| 675.2-b8
| \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 2161 a - 8639\) , \( -155999 a + 268139\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
