Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-1444.1-a
Conductor 1444.1
Rank \( 1 \)

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 1444.1-a over \(\Q(\sqrt{-1}) \)

Isogeny class 1444.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
1444.1-a1 \( \bigl[0\) , \( i\) , \( i + 1\) , \( 5\) , \( 6 i\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph