Elliptic curves in class 300.1-j over \(\Q(\sqrt{21}) \)
Isogeny class 300.1-j contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 300.1-j1
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 67 a - 190\) , \( -1463 a + 4081\bigr] \)
|
| 300.1-j2
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( -8 a + 20\) , \( 46 a - 131\bigr] \)
|
| 300.1-j3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -2269 a - 4082\) , \( 10782 a + 19299\bigr] \)
|
| 300.1-j4
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 342 a - 960\) , \( -4308 a + 12021\bigr] \)
|
| 300.1-j5
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 92 a - 260\) , \( 722 a - 2019\bigr] \)
|
| 300.1-j6
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 1667 a - 4670\) , \( -55159 a + 153969\bigr] \)
|
| 300.1-j7
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 1442 a - 4040\) , \( 46136 a - 128811\bigr] \)
|
| 300.1-j8
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 26667 a - 74670\) , \( -3582159 a + 9999969\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
