Elliptic curves in class 343.3-d over 4.4.4205.1
Isogeny class 343.3-d contains
4 curves linked by isogenies of
degrees dividing 10.
Curve label |
Weierstrass Coefficients |
343.3-d1
| \( \bigl[a^{2} - 2 a - 2\) , \( a^{3} - 2 a^{2} - 4 a + 2\) , \( a^{2} - 2 a - 2\) , \( 11 a^{3} - 18 a^{2} - 47 a + 16\) , \( 10 a^{3} - 16 a^{2} - 43 a + 15\bigr] \)
|
343.3-d2
| \( \bigl[a^{3} - a^{2} - 5 a\) , \( a^{3} - a^{2} - 4 a - 1\) , \( a^{3} - a^{2} - 4 a - 1\) , \( -56 a^{3} + 52 a^{2} + 189 a - 84\) , \( 323 a^{3} - 256 a^{2} - 868 a + 346\bigr] \)
|
343.3-d3
| \( \bigl[a^{3} - a^{2} - 5 a\) , \( a^{3} - a^{2} - 4 a - 1\) , \( a^{3} - a^{2} - 4 a - 1\) , \( -11 a^{3} - 18 a^{2} - 6 a - 9\) , \( 76 a^{3} + 145 a^{2} + 36 a - 12\bigr] \)
|
343.3-d4
| \( \bigl[a^{3} - a^{2} - 4 a\) , \( a^{3} - a^{2} - 5 a - 1\) , \( -a^{3} + 2 a^{2} + 3 a\) , \( -2 a^{3} - 5 a^{2} + a + 3\) , \( -4140 a^{3} - 7622 a^{2} - 946 a + 1456\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 10 & 5 & 2 \\
10 & 1 & 2 & 5 \\
5 & 2 & 1 & 10 \\
2 & 5 & 10 & 1
\end{array}\right)\)