Elliptic curves in class 75.1-a over \(\Q(\sqrt{93}) \)
Isogeny class 75.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 75.1-a1
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -9574 a - 41356\) , \( 2099208 a + 9072429\bigr] \)
|
| 75.1-a2
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -4 a + 4\) , \( -472 a - 2021\bigr] \)
|
| 75.1-a3
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 3041 a + 13164\) , \( 107608 a + 465082\bigr] \)
|
| 75.1-a4
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -874 a - 3756\) , \( 14008 a + 60559\bigr] \)
|
| 75.1-a5
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 439 a - 2316\) , \( 11311 a - 60156\bigr] \)
|
| 75.1-a6
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -11749 a - 50756\) , \( 1518008 a + 6560584\bigr] \)
|
| 75.1-a7
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -6964 a - 30076\) , \( -696072 a - 3008283\bigr] \)
|
| 75.1-a8
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -187924 a - 812156\) , \( 97324808 a + 420620839\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
