Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 7203.3-b over \(\Q(\sqrt{-3}) \)
Isogeny class 7203.3-b contains 2 curves linked by isogenies of degree 13.
Curve label | Weierstrass Coefficients |
---|---|
7203.3-b1 | \( \bigl[0\) , \( a\) , \( 1\) , \( -912 a + 912\) , \( 10919\bigr] \) |
7203.3-b2 | \( \bigl[0\) , \( a\) , \( 1\) , \( -2 a + 2\) , \( -1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)