Elliptic curves in class 15.1-b over \(\Q(\sqrt{15}) \)
Isogeny class 15.1-b contains
10 curves linked by isogenies of
degrees dividing 32.
Curve label |
Weierstrass Coefficients |
15.1-b1
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -2539 a - 9913\) , \( -145850 a - 565247\bigr] \)
|
15.1-b2
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -3519 a - 13633\) , \( 412186 a + 1596397\bigr] \)
|
15.1-b3
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( a + 7\) , \( -94 a - 363\bigr] \)
|
15.1-b4
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 1121 a + 4347\) , \( 23958 a + 92793\bigr] \)
|
15.1-b5
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -319 a - 1233\) , \( 2106 a + 8157\bigr] \)
|
15.1-b6
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -159 a - 613\) , \( -2522 a - 9767\bigr] \)
|
15.1-b7
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -4319 a - 16733\) , \( 294206 a + 1139457\bigr] \)
|
15.1-b8
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -2559 a - 9913\) , \( -144782 a - 560747\bigr] \)
|
15.1-b9
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -69119 a - 267833\) , \( 19314626 a + 74805717\bigr] \)
|
15.1-b10
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -40979 a - 158713\) , \( -8981954 a - 34786967\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 32 & 8 & 16 & 8 & 4 & 16 & 2 & 32 & 4 \\
32 & 1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 & 32 \\
8 & 16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 & 8 \\
16 & 8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 & 16 \\
8 & 4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 & 8 \\
4 & 8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 & 4 \\
16 & 2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 & 16 \\
2 & 16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 & 2 \\
32 & 4 & 16 & 8 & 4 & 8 & 2 & 16 & 1 & 32 \\
4 & 32 & 8 & 16 & 8 & 4 & 16 & 2 & 32 & 1
\end{array}\right)\)