Elliptic curves in class 2028.1-a over \(\Q(\sqrt{3}) \)
Isogeny class 2028.1-a contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 2028.1-a1
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 2382 a - 4131\) , \( -81893 a + 141844\bigr] \)
|
| 2028.1-a2
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 2512 a - 4341\) , \( -72563 a + 125602\bigr] \)
|
| 2028.1-a3
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -13\) , \( -4\bigr] \)
|
| 2028.1-a4
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -778 a + 1299\) , \( 61597 a - 106598\bigr] \)
|
| 2028.1-a5
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 747 a - 1311\) , \( 14182 a - 24584\bigr] \)
|
| 2028.1-a6
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 147 a - 261\) , \( -1208 a + 2092\bigr] \)
|
| 2028.1-a7
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -733\) , \( -7888\bigr] \)
|
| 2028.1-a8
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 72 a - 171\) , \( -2333 a + 4144\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
