Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 58368.2-m over \(\Q(\sqrt{-3}) \)
Isogeny class 58368.2-m contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 58368.2-m1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 13 a - 10\) , \( 23 a - 10\bigr] \) |
| 58368.2-m2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 3 a\) , \( a - 2\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
