Base field \(\Q(\sqrt{-79}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 20 \); class number \(5\).
Elliptic curves in class 92.3-a over \(\Q(\sqrt{-79}) \)
Isogeny class 92.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
92.3-a1 | \( \bigl[1\) , \( a - 1\) , \( 0\) , \( -29 a - 222\) , \( 173 a + 2176\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)