Elliptic curves in class 300.1-g over \(\Q(\sqrt{33}) \)
Isogeny class 300.1-g contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 300.1-g1
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -4975 a - 11801\) , \( 1051929 a + 2495471\bigr] \)
|
| 300.1-g2
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 545 a + 1294\) , \( -35136 a - 83353\bigr] \)
|
| 300.1-g3
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -166895 a - 395921\) , \( 8303649 a + 19698591\bigr] \)
|
| 300.1-g4
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 25216 a - 85032\) , \( -3168011 a + 10683417\bigr] \)
|
| 300.1-g5
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 6816 a - 22982\) , \( 473939 a - 1598263\bigr] \)
|
| 300.1-g6
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 122736 a - 413897\) , \( -39525706 a + 133291793\bigr] \)
|
| 300.1-g7
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 106176 a - 358052\) , \( 31973489 a - 107823607\bigr] \)
|
| 300.1-g8
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 1962736 a - 6618897\) , \( -2535640706 a + 8550893793\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
