Isogeny class 45.1-b contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 45.1-b1
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 14186 a - 108628\) , \( 4712248 a - 36090667\bigr] \)
|
| 45.1-b2
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -4 a + 52\) , \( -1032 a + 7923\bigr] \)
|
| 45.1-b3
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 4519 a + 30113\) , \( -206840 a - 1377310\bigr] \)
|
| 45.1-b4
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -1286 a - 8542\) , \( -39368 a - 262129\bigr] \)
|
| 45.1-b5
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 641 a - 4888\) , \( -19640 a + 150440\bigr] \)
|
| 45.1-b6
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 17411 a - 133328\) , \( 3454968 a - 26461272\bigr] \)
|
| 45.1-b7
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -10316 a - 68672\) , \( 1463000 a + 9742005\bigr] \)
|
| 45.1-b8
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -278636 a - 1855392\) , \( -215960088 a - 1438058889\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
