Elliptic curves in class 15.1-d over \(\Q(\sqrt{15}) \)
Isogeny class 15.1-d contains
10 curves linked by isogenies of
degrees dividing 32.
| Curve label |
Weierstrass Coefficients |
| 15.1-d1
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -2543 a - 9924\) , \( 138228 a + 535486\bigr] \)
|
| 15.1-d2
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -3523 a - 13644\) , \( -422748 a - 1637318\bigr] \)
|
| 15.1-d3
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -3 a - 4\) , \( 92 a + 362\bigr] \)
|
| 15.1-d4
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 1117 a + 4336\) , \( -20600 a - 79774\bigr] \)
|
| 15.1-d5
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -323 a - 1244\) , \( -3068 a - 11878\bigr] \)
|
| 15.1-d6
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -163 a - 624\) , \( 2040 a + 7906\bigr] \)
|
| 15.1-d7
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -4323 a - 16744\) , \( -307168 a - 1189678\bigr] \)
|
| 15.1-d8
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -2563 a - 9924\) , \( 137100 a + 530986\bigr] \)
|
| 15.1-d9
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -69123 a - 267844\) , \( -19521988 a - 75609238\bigr] \)
|
| 15.1-d10
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -40983 a - 158724\) , \( 8859012 a + 34310806\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 32 & 8 & 16 & 8 & 4 & 16 & 2 & 32 & 4 \\
32 & 1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 & 32 \\
8 & 16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 & 8 \\
16 & 8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 & 16 \\
8 & 4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 & 8 \\
4 & 8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 & 4 \\
16 & 2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 & 16 \\
2 & 16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 & 2 \\
32 & 4 & 16 & 8 & 4 & 8 & 2 & 16 & 1 & 32 \\
4 & 32 & 8 & 16 & 8 & 4 & 16 & 2 & 32 & 1
\end{array}\right)\)
