Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-82944.1-CMf
Conductor 82944.1
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 82944.1-CMf over \(\Q(\sqrt{-1}) \)

Isogeny class 82944.1-CMf contains only one elliptic curve.

Curve label Weierstrass Coefficients
82944.1-CMf1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 54 i\) , \( 0\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph