Elliptic curves in class 3375.7-b over \(\Q(\sqrt{-11}) \)
Isogeny class 3375.7-b contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 3375.7-b1
| \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -3 a + 67\) , \( 150 a - 56\bigr] \)
|
| 3375.7-b2
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 37 a - 38\) , \( -139 a - 69\bigr] \)
|
| 3375.7-b3
| \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -38 a + 37\) , \( 343 a - 437\bigr] \)
|
| 3375.7-b4
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 2 a - 68\) , \( -251 a - 390\bigr] \)
|
| 3375.7-b5
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -348 a + 757\) , \( -1336 a - 6945\bigr] \)
|
| 3375.7-b6
| \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 277 a - 818\) , \( 3565 a - 7736\bigr] \)
|
| 3375.7-b7
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -208 a - 1373\) , \( -5354 a - 18039\bigr] \)
|
| 3375.7-b8
| \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -913 a + 412\) , \( 10093 a - 19562\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 2 & 6 & 12 & 4 & 12 & 4 \\
3 & 1 & 6 & 2 & 4 & 12 & 4 & 12 \\
2 & 6 & 1 & 3 & 6 & 2 & 6 & 2 \\
6 & 2 & 3 & 1 & 2 & 6 & 2 & 6 \\
12 & 4 & 6 & 2 & 1 & 12 & 4 & 3 \\
4 & 12 & 2 & 6 & 12 & 1 & 3 & 4 \\
12 & 4 & 6 & 2 & 4 & 3 & 1 & 12 \\
4 & 12 & 2 & 6 & 3 & 4 & 12 & 1
\end{array}\right)\)
