Elliptic curves in class 19.1-d over 4.4.8069.1
Isogeny class 19.1-d contains
4 curves linked by isogenies of
degrees dividing 6.
Curve label |
Weierstrass Coefficients |
19.1-d1
| \( \bigl[a\) , \( a^{3} + a^{2} - 5 a - 3\) , \( a\) , \( -406 a^{3} + 495 a^{2} + 1969 a - 2505\) , \( 8935 a^{3} - 10618 a^{2} - 42945 a + 52855\bigr] \)
|
19.1-d2
| \( \bigl[a\) , \( a^{3} + a^{2} - 5 a - 3\) , \( a\) , \( -26 a^{3} + 30 a^{2} + 124 a - 155\) , \( 153 a^{3} - 184 a^{2} - 737 a + 908\bigr] \)
|
19.1-d3
| \( \bigl[a\) , \( a^{3} + a^{2} - 5 a - 3\) , \( a\) , \( 14 a^{3} + 10 a^{2} - 66 a - 45\) , \( -101 a^{3} - 46 a^{2} + 475 a + 186\bigr] \)
|
19.1-d4
| \( \bigl[a\) , \( a^{3} + a^{2} - 5 a - 3\) , \( a\) , \( -a^{3} + 4 a\) , \( -2 a^{3} - a^{2} + 9 a + 4\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)