Elliptic curves in class 24.1-d over \(\Q(\sqrt{51}) \)
Isogeny class 24.1-d contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 24.1-d1
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -2738 a + 19623\) , \( 1519308 a - 10849845\bigr] \)
|
| 24.1-d2
| \( \bigl[0\) , \( -1\) , \( 0\) , \( 1\) , \( 0\bigr] \)
|
| 24.1-d3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -764 a - 5372\) , \( 20035 a + 143270\bigr] \)
|
| 24.1-d4
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 4262 a - 30367\) , \( 400424 a - 2859415\bigr] \)
|
| 24.1-d5
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -11264 a - 80357\) , \( 1698361 a + 12128915\bigr] \)
|
| 24.1-d6
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -67264 a - 480277\) , \( -25606941 a - 182869945\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
