Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 24 & 8 & 3 & 6 & 4 & 8 & 12 & 12 & 2 & 24 & 4 \\
24 & 1 & 3 & 8 & 4 & 6 & 12 & 8 & 2 & 12 & 4 & 24 \\
8 & 3 & 1 & 24 & 12 & 2 & 4 & 24 & 6 & 4 & 12 & 8 \\
3 & 8 & 24 & 1 & 2 & 12 & 24 & 4 & 4 & 6 & 8 & 12 \\
6 & 4 & 12 & 2 & 1 & 6 & 12 & 2 & 2 & 3 & 4 & 6 \\
4 & 6 & 2 & 12 & 6 & 1 & 2 & 12 & 3 & 2 & 6 & 4 \\
8 & 12 & 4 & 24 & 12 & 2 & 1 & 24 & 6 & 4 & 3 & 8 \\
12 & 8 & 24 & 4 & 2 & 12 & 24 & 1 & 4 & 6 & 8 & 3 \\
12 & 2 & 6 & 4 & 2 & 3 & 6 & 4 & 1 & 6 & 2 & 12 \\
2 & 12 & 4 & 6 & 3 & 2 & 4 & 6 & 6 & 1 & 12 & 2 \\
24 & 4 & 12 & 8 & 4 & 6 & 3 & 8 & 2 & 12 & 1 & 24 \\
4 & 24 & 8 & 12 & 6 & 4 & 8 & 3 & 12 & 2 & 24 & 1
\end{array}\right)\)
Elliptic curves in class 1521.1-h over \(\Q(\sqrt{13}) \)
Isogeny class 1521.1-h contains
12 curves linked by isogenies of
degrees dividing 24.
| Curve label |
Weierstrass Coefficients |
| 1521.1-h1
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -11 a - 13\) , \( -55 a - 71\bigr] \)
|
| 1521.1-h2
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 1312 a - 3083\) , \( -33562 a + 77613\bigr] \)
|
| 1521.1-h3
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 899 a + 52\) , \( -14940 a - 5427\bigr] \)
|
| 1521.1-h4
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 12 a - 28\) , \( 43 a - 101\bigr] \)
|
| 1521.1-h5
| \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -163 a - 218\) , \( 828 a + 1070\bigr] \)
|
| 1521.1-h6
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -206 a - 338\) , \( -2135 a - 2580\bigr] \)
|
| 1521.1-h7
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -1311 a - 1768\) , \( 32250 a + 42283\bigr] \)
|
| 1521.1-h8
| \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -1138 a - 1583\) , \( -28812 a - 37969\bigr] \)
|
| 1521.1-h9
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 207 a - 548\) , \( 1928 a - 4170\bigr] \)
|
| 1521.1-h10
| \( \bigl[1\) , \( 1\) , \( a\) , \( 162 a - 380\) , \( -829 a + 1899\bigr] \)
|
| 1521.1-h11
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -898 a + 947\) , \( 15838 a - 21317\bigr] \)
|
| 1521.1-h12
| \( \bigl[1\) , \( 1\) , \( a\) , \( 1137 a - 2720\) , \( 28811 a - 66780\bigr] \)
|
