Elliptic curves in class 196.1-a over \(\Q(\sqrt{33}) \)
Isogeny class 196.1-a contains
6 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 196.1-a1
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -62751 a - 148862\) , \( 14446740 a + 34271731\bigr] \)
|
| 196.1-a2
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 192 a - 644\) , \( 5057 a - 17061\bigr] \)
|
| 196.1-a3
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -1648 a + 5561\) , \( -104508 a + 352423\bigr] \)
|
| 196.1-a4
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 13072 a - 44079\) , \( -1123028 a + 3787159\bigr] \)
|
| 196.1-a5
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -3871 a - 9182\) , \( -228060 a - 541023\bigr] \)
|
| 196.1-a6
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -1004831 a - 2383742\) , \( 927667860 a + 2200689139\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 9 & 3 & 6 & 18 & 2 \\
9 & 1 & 3 & 6 & 2 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 \\
18 & 2 & 6 & 3 & 1 & 9 \\
2 & 18 & 6 & 3 & 9 & 1
\end{array}\right)\)
