Elliptic curves in class 30.1-d over \(\Q(\sqrt{15}) \)
Isogeny class 30.1-d contains
8 curves linked by isogenies of
degrees dividing 12.
Curve label |
Weierstrass Coefficients |
30.1-d1
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -434 a - 1670\) , \( 31264 a + 121092\bigr] \)
|
30.1-d2
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 46 a + 190\) , \( -1040 a - 4020\bigr] \)
|
30.1-d3
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -14514 a - 56230\) , \( 245024 a + 948932\bigr] \)
|
30.1-d4
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -2194 a - 8490\) , \( 93264 a + 361212\bigr] \)
|
30.1-d5
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -594 a - 2290\) , \( -14416 a - 55828\bigr] \)
|
30.1-d6
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -10674 a - 41350\) , \( 1172000 a + 4539140\bigr] \)
|
30.1-d7
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -9234 a - 35770\) , \( -957040 a - 3706660\bigr] \)
|
30.1-d8
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -170674 a - 661350\) , \( 75444000 a + 292195140\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)