Elliptic curves in class 15.1-a over \(\Q(\sqrt{30}) \)
Isogeny class 15.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
15.1-a1
| \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -4844 a - 26493\) , \( -813715 a - 4456859\bigr] \)
|
15.1-a2
| \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -4 a + 17\) , \( 175 a + 1001\bigr] \)
|
15.1-a3
| \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 1536 a + 8452\) , \( -38388 a - 210217\bigr] \)
|
15.1-a4
| \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -444 a - 2393\) , \( -6195 a - 33889\bigr] \)
|
15.1-a5
| \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -224 a - 1188\) , \( 3752 a + 20593\bigr] \)
|
15.1-a6
| \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -5944 a - 32518\) , \( -592970 a - 3247789\bigr] \)
|
15.1-a7
| \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -3524 a - 19263\) , \( 260267 a + 1425583\bigr] \)
|
15.1-a8
| \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -95044 a - 520543\) , \( -37484825 a - 205312819\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)