Elliptic curves in class 175.2-c over 3.3.733.1
Isogeny class 175.2-c contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 175.2-c1
| \( \bigl[a^{2} - 5\) , \( a^{2} + a - 4\) , \( 0\) , \( 48039478 a^{2} + 72933473 a - 152615368\) , \( 270822288210 a^{2} + 411162045709 a - 860368288753\bigr] \)
|
| 175.2-c2
| \( \bigl[1\) , \( -a^{2} - a + 4\) , \( a\) , \( 215627501 a^{2} + 38423545 a - 1464122111\) , \( -451635498322 a^{2} - 80478772129 a + 3066628875362\bigr] \)
|
| 175.2-c3
| \( \bigl[1\) , \( -a^{2} + a + 6\) , \( a\) , \( 115 a^{2} + 19 a - 779\) , \( -877 a^{2} - 156 a + 5952\bigr] \)
|
| 175.2-c4
| \( \bigl[a + 1\) , \( a^{2} + a - 4\) , \( a^{2} + a - 4\) , \( 24 a^{2} + 52 a - 250\) , \( -245 a^{2} - 473 a + 1667\bigr] \)
|
| 175.2-c5
| \( \bigl[a + 1\) , \( a^{2} + a - 4\) , \( a^{2} + a - 4\) , \( -21 a^{2} + 22 a - 5\) , \( -30 a^{2} - 338 a + 452\bigr] \)
|
| 175.2-c6
| \( \bigl[a + 1\) , \( a^{2} + a - 4\) , \( a^{2} + a - 4\) , \( -386 a^{2} + 312 a + 160\) , \( 29 a^{2} - 20035 a + 23577\bigr] \)
|
Rank: \( 2 \)
\(\left(\begin{array}{rrrrrr}
1 & 4 & 2 & 8 & 4 & 8 \\
4 & 1 & 2 & 8 & 4 & 8 \\
2 & 2 & 1 & 4 & 2 & 4 \\
8 & 8 & 4 & 1 & 2 & 4 \\
4 & 4 & 2 & 2 & 1 & 2 \\
8 & 8 & 4 & 4 & 2 & 1
\end{array}\right)\)
