Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-5184.1-CMb
Conductor 5184.1
Rank \( 0 \)

Related objects

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

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

Elliptic curves in class 5184.1-CMb over \(\Q(\sqrt{-1}) \)

Isogeny class 5184.1-CMb contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
5184.1-CMb1 \( \bigl[0\) , \( 0\) , \( 0\) , \( -9\) , \( 0\bigr] \)
5184.1-CMb2 \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 24\) , \( 59 i\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph