Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-256.1-CMa
Conductor 256.1
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 256.1-CMa over \(\Q(\sqrt{-1}) \)

Isogeny class 256.1-CMa contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
256.1-CMa1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 1\) , \( 0\bigr] \)
256.1-CMa2 \( \bigl[0\) , \( 0\) , \( 0\) , \( 11\) , \( -14 i\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph