Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-56448.1-b
Conductor 56448.1
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{-1}) \)

Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).

Elliptic curves in class 56448.1-b over \(\Q(\sqrt{-1}) \)

Isogeny class 56448.1-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
56448.1-b1 \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -25 i + 23\) , \( 47 i + 74\bigr] \)
56448.1-b2 \( \bigl[0\) , \( i\) , \( 0\) , \( 6 i - 4\) , \( -12 i + 6\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph