Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-50024.6-b
Conductor 50024.6
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 50024.6-b over \(\Q(\sqrt{-1}) \)

Isogeny class 50024.6-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
50024.6-b1 \( \bigl[0\) , \( i - 1\) , \( 0\) , \( -680 i + 515\) , \( 3135 i + 9206\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph