Elliptic curves in class 6.1-a over 3.3.1101.1
Isogeny class 6.1-a contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
6.1-a1
| \( \bigl[a^{2} + 2 a - 7\) , \( a + 1\) , \( a\) , \( -12815463 a^{2} + 52787238 a - 49305624\) , \( -50792903895 a^{2} + 209217326538 a - 195418286610\bigr] \)
|
6.1-a2
| \( \bigl[1\) , \( a^{2} - 8\) , \( a^{2} + a - 7\) , \( -5 a^{2} + 52 a - 105\) , \( -186 a^{2} + 572 a - 196\bigr] \)
|
6.1-a3
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -801934 a^{2} + 3303175 a - 3085301\) , \( -1420574725 a^{2} + 5851385188 a - 5465453961\bigr] \)
|
6.1-a4
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -50124 a^{2} + 206470 a - 192851\) , \( -22179850 a^{2} + 91359400 a - 85333743\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 4 & 2 \\
4 & 1 & 4 & 2 \\
4 & 4 & 1 & 2 \\
2 & 2 & 2 & 1
\end{array}\right)\)