Elliptic curves in class 14112.5-b over \(\Q(\sqrt{-7}) \)
Isogeny class 14112.5-b contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
14112.5-b1
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 189 a + 10\) , \( 364 a + 1336\bigr] \)
|
14112.5-b2
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 83 a - 28\) , \( 438 a + 584\bigr] \)
|
14112.5-b3
| \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 202 a - 142\) , \( 1070 a + 534\bigr] \)
|
14112.5-b4
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -8107 a + 2702\) , \( 69654 a + 105416\bigr] \)
|
14112.5-b5
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 2183 a - 728\) , \( 9286 a + 12120\bigr] \)
|
14112.5-b6
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 19193 a - 6398\) , \( -662042 a - 967656\bigr] \)
|
14112.5-b7
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 1763 a - 588\) , \( 18806 a + 26120\bigr] \)
|
14112.5-b8
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 28223 a - 9408\) , \( 1197158 a + 1712504\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 4 & 16 & 8 & 16 & 4 & 8 \\
2 & 1 & 2 & 8 & 4 & 8 & 2 & 4 \\
4 & 2 & 1 & 16 & 8 & 16 & 4 & 8 \\
16 & 8 & 16 & 1 & 2 & 4 & 4 & 8 \\
8 & 4 & 8 & 2 & 1 & 2 & 2 & 4 \\
16 & 8 & 16 & 4 & 2 & 1 & 4 & 8 \\
4 & 2 & 4 & 4 & 2 & 4 & 1 & 2 \\
8 & 4 & 8 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)