Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-33800.2-e
Conductor 33800.2
Rank \( 1 \)

Related objects

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 33800.2-e over \(\Q(\sqrt{-1}) \)

Isogeny class 33800.2-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
33800.2-e1 \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -9 i + 29\) , \( 74 i + 31\bigr] \)