Elliptic curves in class 2.1-b over 3.3.733.1
Isogeny class 2.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 2.1-b1
| \( \bigl[a^{2} - 5\) , \( 0\) , \( a + 1\) , \( 18957864 a^{2} + 3380608 a - 128731016\) , \( 72417315372 a^{2} + 12904890246 a - 491718787736\bigr] \)
|
| 2.1-b2
| \( \bigl[a^{2} - 5\) , \( 0\) , \( a + 1\) , \( 253164 a^{2} + 44843 a - 1718321\) , \( 82486459 a^{2} + 14678682 a - 560037260\bigr] \)
|
| 2.1-b3
| \( \bigl[a^{2} - 5\) , \( -a^{2} + 5\) , \( 0\) , \( -121 a^{2} + 439 a - 338\) , \( -2195 a^{2} + 8115 a - 6516\bigr] \)
|
| 2.1-b4
| \( \bigl[a^{2} - 5\) , \( -a^{2} + 5\) , \( 0\) , \( -11 a^{2} + 29 a - 3\) , \( 37 a^{2} - 146 a + 133\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 2 & 6 \\
3 & 1 & 6 & 2 \\
2 & 6 & 1 & 3 \\
6 & 2 & 3 & 1
\end{array}\right)\)
