Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-82369.1-b
Conductor 82369.1
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 82369.1-b over \(\Q(\sqrt{-1}) \)

Isogeny class 82369.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
82369.1-b1 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -2 i\) , \( -i\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph