Elliptic curves in class 20.1-b over 3.3.733.1
Isogeny class 20.1-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 20.1-b1
| \( \bigl[a^{2} - 5\) , \( -a - 1\) , \( a^{2} + a - 5\) , \( -30416696455546 a^{2} - 46178588996616 a + 96630012440821\) , \( -364046082407518414622 a^{2} - 552694288805944545153 a + 1156528537656402069362\bigr] \)
|
| 20.1-b2
| \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -933455 a^{2} - 1417172 a + 2965470\) , \( -916501861 a^{2} - 1391431934 a + 2911610942\bigr] \)
|
| 20.1-b3
| \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -14928955 a^{2} - 22665122 a + 47427410\) , \( -58727325101 a^{2} - 89159748584 a + 186569312792\bigr] \)
|
| 20.1-b4
| \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -14932120 a^{2} - 22669927 a + 47437465\) , \( -58701193291 a^{2} - 89120075304 a + 186486295324\bigr] \)
|
| 20.1-b5
| \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -238913925 a^{2} - 362718812 a + 758999440\) , \( -3757179362421 a^{2} - 5704144821164 a + 11936085467524\bigr] \)
|
| 20.1-b6
| \( \bigl[a + 1\) , \( a^{2} - 6\) , \( a^{2} - 4\) , \( -a^{2} + 8 a - 14\) , \( -21 a + 53\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 8 & 4 & 8 & 4 \\
2 & 1 & 4 & 2 & 4 & 2 \\
8 & 4 & 1 & 2 & 4 & 8 \\
4 & 2 & 2 & 1 & 2 & 4 \\
8 & 4 & 4 & 2 & 1 & 8 \\
4 & 2 & 8 & 4 & 8 & 1
\end{array}\right)\)
