Elliptic curves in class 41.1-a over 4.4.725.1
Isogeny class 41.1-a contains
4 curves linked by isogenies of
degrees dividing 14.
| Curve label |
Weierstrass Coefficients |
| 41.1-a1
| \( \bigl[a + 1\) , \( -a^{3} + 2 a^{2} - 3\) , \( a + 1\) , \( 2219 a^{3} - 409 a^{2} - 7390 a - 3741\) , \( 84340 a^{3} - 20755 a^{2} - 271950 a - 120407\bigr] \)
|
| 41.1-a2
| \( \bigl[a + 1\) , \( -a^{3} + 2 a^{2} - 3\) , \( a + 1\) , \( 99 a^{3} - 89 a^{2} - 445 a - 196\) , \( 785 a^{3} - 766 a^{2} - 3686 a - 1645\bigr] \)
|
| 41.1-a3
| \( \bigl[a + 1\) , \( -a^{3} + 2 a^{2} - 3\) , \( a + 1\) , \( -6 a^{3} + 16 a^{2} - 41\) , \( 21 a^{3} - 54 a^{2} - 19 a + 127\bigr] \)
|
| 41.1-a4
| \( \bigl[a + 1\) , \( -a^{3} + 2 a^{2} - 3\) , \( a + 1\) , \( -a^{3} + a^{2} - 1\) , \( -a^{2} + 3\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 7 & 14 \\
2 & 1 & 14 & 7 \\
7 & 14 & 1 & 2 \\
14 & 7 & 2 & 1
\end{array}\right)\)
