Elliptic curves in class 15.1-c over \(\Q(\sqrt{30}) \)
Isogeny class 15.1-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 15.1-c1
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 19358 a - 106026\) , \( -6354792 a + 34806630\bigr] \)
|
| 15.1-c2
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -2 a + 14\) , \( 1448 a - 7930\bigr] \)
|
| 15.1-c3
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -6162 a + 33754\) , \( -356336 a + 1951734\bigr] \)
|
| 15.1-c4
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 1758 a - 9626\) , \( -35432 a + 194070\bigr] \)
|
| 15.1-c5
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 878 a - 4806\) , \( 37104 a - 203226\bigr] \)
|
| 15.1-c6
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 23758 a - 130126\) , \( -4553632 a + 24941270\bigr] \)
|
| 15.1-c7
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 14078 a - 77106\) , \( 2194824 a - 12021546\bigr] \)
|
| 15.1-c8
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 380158 a - 2082226\) , \( -296837272 a + 1625844710\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
