Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 50700.2-d over \(\Q(\sqrt{-3}) \)
Isogeny class 50700.2-d contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50700.2-d1 | \( \bigl[a\) , \( a - 1\) , \( 1\) , \( -5 a\) , \( -7\bigr] \) |
| 50700.2-d2 | \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 45 a\) , \( -127\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
