Elliptic curves in class 2.1-b over 3.3.1957.1
Isogeny class 2.1-b contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 2.1-b1
| \( \bigl[a^{2} - 5\) , \( a^{2} + a - 5\) , \( a\) , \( -4 a^{2} + 19 a - 14\) , \( 12 a^{2} - 51 a + 42\bigr] \)
|
| 2.1-b2
| \( \bigl[a^{2} - 5\) , \( a^{2} + a - 5\) , \( a\) , \( -1114 a^{2} - 1016 a + 2571\) , \( 27300 a^{2} + 83651 a - 129307\bigr] \)
|
| 2.1-b3
| \( \bigl[a\) , \( 1\) , \( a^{2} + a - 6\) , \( -48957 a^{2} + 192360 a - 154807\) , \( -20208669 a^{2} + 81872981 a - 66692514\bigr] \)
|
| 2.1-b4
| \( \bigl[a\) , \( 1\) , \( a^{2} + a - 6\) , \( -3932 a^{2} + 10355 a - 6677\) , \( -284267 a^{2} + 1354261 a - 1166954\bigr] \)
|
| 2.1-b5
| \( \bigl[a\) , \( 1\) , \( a^{2} + a - 6\) , \( -72 a^{2} + 320 a - 267\) , \( -1499 a^{2} + 5315 a - 4094\bigr] \)
|
| 2.1-b6
| \( \bigl[a\) , \( 1\) , \( a^{2} + a - 6\) , \( -17 a^{2} + 10 a + 13\) , \( -49 a^{2} - 59 a + 126\bigr] \)
|
| 2.1-b7
| \( \bigl[1\) , \( -a^{2} + a + 7\) , \( a\) , \( -212 a^{2} - 404 a + 743\) , \( -3941 a^{2} - 7528 a + 13543\bigr] \)
|
| 2.1-b8
| \( \bigl[1\) , \( -a^{2} + a + 7\) , \( a\) , \( -1367 a^{2} - 2584 a + 4678\) , \( 59691 a^{2} + 114172 a - 205088\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 20 & 10 & 4 & 2 & 4 & 20 \\
5 & 1 & 4 & 2 & 20 & 10 & 20 & 4 \\
20 & 4 & 1 & 2 & 5 & 10 & 20 & 4 \\
10 & 2 & 2 & 1 & 10 & 5 & 10 & 2 \\
4 & 20 & 5 & 10 & 1 & 2 & 4 & 20 \\
2 & 10 & 10 & 5 & 2 & 1 & 2 & 10 \\
4 & 20 & 20 & 10 & 4 & 2 & 1 & 5 \\
20 & 4 & 4 & 2 & 20 & 10 & 5 & 1
\end{array}\right)\)
