Elliptic curves in class 475.2-b over 3.3.148.1
Isogeny class 475.2-b contains
4 curves linked by isogenies of
degrees dividing 6.
Curve label |
Weierstrass Coefficients |
475.2-b1
| \( \bigl[a^{2} - a - 2\) , \( -a - 1\) , \( a^{2} - a - 1\) , \( -114167 a^{2} - 133585 a + 52608\) , \( 38795288 a^{2} + 45393843 a - 17877301\bigr] \)
|
475.2-b2
| \( \bigl[a^{2} - a - 2\) , \( -a - 1\) , \( a^{2} - a - 1\) , \( -274212 a^{2} - 320850 a + 126358\) , \( -90112799 a^{2} - 105439768 a + 41524980\bigr] \)
|
475.2-b3
| \( \bigl[0\) , \( -a^{2} + a + 3\) , \( a\) , \( -25 a^{2} + 79 a - 29\) , \( 165 a^{2} - 431 a + 121\bigr] \)
|
475.2-b4
| \( \bigl[0\) , \( -a^{2} + a + 3\) , \( a\) , \( -5 a^{2} + 9 a + 1\) , \( -6 a^{2} + 15 a - 3\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)