Elliptic curves in class 144.5-c over \(\Q(\sqrt{17}) \)
Isogeny class 144.5-c contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
144.5-c1
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -119 a - 186\) , \( -1469 a - 2294\bigr] \)
|
144.5-c2
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 206 a - 531\) , \( -2387 a + 6120\bigr] \)
|
144.5-c3
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 142 a + 223\) , \( -1372 a - 2142\bigr] \)
|
144.5-c4
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -53 a - 82\) , \( -221 a - 345\bigr] \)
|
144.5-c5
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 11 a - 36\) , \( -41 a + 102\bigr] \)
|
144.5-c6
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -3 a - 11\) , \( -15 a - 26\bigr] \)
|
144.5-c7
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -117 a - 183\) , \( 876 a + 1368\bigr] \)
|
144.5-c8
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -78 a - 116\) , \( -639 a - 1034\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)