Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 1074.4-a over \(\Q(\sqrt{-2}) \)
Isogeny class 1074.4-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
1074.4-a1 | \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -12 a - 6\) , \( 4 a + 25\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)