Elliptic curves in class 6.2-a over 3.3.1101.1
Isogeny class 6.2-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 6.2-a1
| \( \bigl[a^{2} + 2 a - 7\) , \( a^{2} + a - 7\) , \( a + 1\) , \( 12 a^{2} + 72 a - 252\) , \( -20 a^{2} + 483 a - 1111\bigr] \)
|
| 6.2-a2
| \( \bigl[a^{2} + 2 a - 7\) , \( a^{2} + a - 7\) , \( a + 1\) , \( 2 a^{2} + 17 a - 32\) , \( 10 a^{2} - 4 a - 19\bigr] \)
|
| 6.2-a3
| \( \bigl[a^{2} + 2 a - 7\) , \( a^{2} + a - 7\) , \( a + 1\) , \( -11039040 a^{2} - 18627270 a + 49292442\) , \( 37436377478 a^{2} + 63170126949 a - 167164025825\bigr] \)
|
| 6.2-a4
| \( \bigl[1\) , \( -a^{2} + 8\) , \( a^{2} + a - 6\) , \( 1321 a^{2} - 5457 a + 5119\) , \( 118877 a^{2} - 489670 a + 457387\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
