Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 13456.2-b over \(\Q(\sqrt{-1}) \)
Isogeny class 13456.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
13456.2-b1 | \( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -2 i + 12\) , \( -10 i - 4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)