Elliptic curves in class 24.1-c over \(\Q(\sqrt{51}) \)
Isogeny class 24.1-c contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 24.1-c1
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 24686 a + 176275\) , \( 41465209 a + 296120813\bigr] \)
|
| 24.1-c2
| \( \bigl[0\) , \( 0\) , \( 0\) , \( 6\) , \( -7\bigr] \)
|
| 24.1-c3
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -6814 a - 48680\) , \( -664079 a - 4742482\bigr] \)
|
| 24.1-c4
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 38337 a - 273609\) , \( -10394976 a + 74235411\bigr] \)
|
| 24.1-c5
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -101314 a - 723545\) , \( -47679881 a - 340502467\bigr] \)
|
| 24.1-c6
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 605337 a - 4322799\) , \( -684814098 a + 4890551301\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
