Elliptic curves in class 21.1-b over 3.3.257.1
Isogeny class 21.1-b contains
6 curves linked by isogenies of
degrees dividing 8.
Curve label |
Weierstrass Coefficients |
21.1-b1
| \( \bigl[a^{2} + a - 3\) , \( 1\) , \( a^{2} + a - 3\) , \( 50 a^{2} + 10 a - 350\) , \( 432 a^{2} + 24 a - 2598\bigr] \)
|
21.1-b2
| \( \bigl[a^{2} + a - 3\) , \( 1\) , \( a^{2} + a - 3\) , \( 10 a^{2} + 15 a - 85\) , \( -27 a^{2} - 50 a + 227\bigr] \)
|
21.1-b3
| \( \bigl[a^{2} + a - 3\) , \( 1\) , \( a^{2} + a - 3\) , \( -10 a^{2} - 15 a - 5\) , \( -65 a^{2} - 88 a + 51\bigr] \)
|
21.1-b4
| \( \bigl[a^{2} + a - 3\) , \( 1\) , \( a^{2} + a - 3\) , \( -5\) , \( -2 a^{2} - 3 a + 3\bigr] \)
|
21.1-b5
| \( \bigl[a^{2} + a - 3\) , \( 1\) , \( a^{2} + a - 3\) , \( 0\) , \( 0\bigr] \)
|
21.1-b6
| \( \bigl[a^{2} + a - 3\) , \( 1\) , \( a^{2} + a - 3\) , \( -230 a^{2} - 280 a + 340\) , \( -3614 a^{2} - 4360 a + 4812\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 2 & 4 & 8 & 4 \\
8 & 1 & 4 & 2 & 4 & 8 \\
2 & 4 & 1 & 2 & 4 & 2 \\
4 & 2 & 2 & 1 & 2 & 4 \\
8 & 4 & 4 & 2 & 1 & 8 \\
4 & 8 & 2 & 4 & 8 & 1
\end{array}\right)\)