Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 19600.1-e over \(\Q(\sqrt{-7}) \)
Isogeny class 19600.1-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
19600.1-e1 | \( \bigl[0\) , \( a - 1\) , \( a\) , \( 2 a - 33\) , \( -29 a + 64\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)