Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\
8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\
16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\
8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\
4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\
16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\
2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\
4 & 8 & 16 & 8 & 4 & 16 & 2 & 1
\end{array}\right)\)
Elliptic curves in class 432.2-b over \(\Q(\sqrt{7}) \)
Isogeny class 432.2-b contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 432.2-b1
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -11248 a + 29656\) , \( 916616 a - 2424792\bigr] \)
|
| 432.2-b2
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -28 a + 76\) , \( -2848 a + 7536\bigr] \)
|
| 432.2-b3
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 24792 a - 65544\) , \( -3553592 a + 9401848\bigr] \)
|
| 432.2-b4
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 24972 a - 66084\) , \( -3497216 a + 9252736\bigr] \)
|
| 432.2-b5
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 1572 a - 4164\) , \( -53888 a + 142576\bigr] \)
|
| 432.2-b6
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 399552 a - 1057344\) , \( -223692872 a + 591834184\bigr] \)
|
| 432.2-b7
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 3772 a - 10084\) , \( 131200 a - 346784\bigr] \)
|
| 432.2-b8
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 53992 a - 144544\) , \( 11203576 a - 29616296\bigr] \)
|
