Elliptic curves in class 30.1-a over \(\Q(\sqrt{30}) \)
Isogeny class 30.1-a contains
8 curves linked by isogenies of
degrees dividing 12.
Curve label |
Weierstrass Coefficients |
30.1-a1
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 2384 a - 13010\) , \( -483140 a + 2646330\bigr] \)
|
30.1-a2
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -256 a + 1450\) , \( 16348 a - 89478\bigr] \)
|
30.1-a3
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 79824 a - 437170\) , \( -3882820 a + 21267130\bigr] \)
|
30.1-a4
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 12064 a - 66030\) , \( -1449060 a + 7936890\bigr] \)
|
30.1-a5
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 3264 a - 17830\) , \( 215900 a - 1182470\bigr] \)
|
30.1-a6
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 58704 a - 321490\) , \( -18063172 a + 98936122\bigr] \)
|
30.1-a7
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 50784 a - 278110\) , \( 14594588 a - 79937798\bigr] \)
|
30.1-a8
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 938704 a - 5141490\) , \( -1158287172 a + 6344200122\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)