Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-50020.2-b
Conductor 50020.2
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 50020.2-b over \(\Q(\sqrt{-1}) \)

Isogeny class 50020.2-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
50020.2-b1 \( \bigl[0\) , \( -i\) , \( 0\) , \( 134 i + 174\) , \( -754 i + 1089\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph