Elliptic curves in class 72.1-b over \(\Q(\sqrt{7}) \)
Isogeny class 72.1-b contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
72.1-b1
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 40 a - 175\) , \( 306 a - 1155\bigr] \)
|
72.1-b2
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 0\) , \( 0\bigr] \)
|
72.1-b3
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 220 a - 555\) , \( -2634 a + 7145\bigr] \)
|
72.1-b4
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 10 a - 45\) , \( -36 a + 95\bigr] \)
|
72.1-b5
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -5\) , \( -2 a - 5\bigr] \)
|
72.1-b6
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -40 a - 175\) , \( 226 a + 805\bigr] \)
|
72.1-b7
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -10 a - 45\) , \( -56 a - 185\bigr] \)
|
72.1-b8
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -220 a - 555\) , \( -3074 a - 8255\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\
8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\
16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\
8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\
4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\
16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\
2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\
4 & 8 & 16 & 8 & 4 & 16 & 2 & 1
\end{array}\right)\)