Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-76050.1-k
Conductor 76050.1
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 76050.1-k over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.1-k contains only one elliptic curve.

Curve label Weierstrass Coefficients
76050.1-k1 \( \bigl[1\) , \( -i - 1\) , \( 0\) , \( 17 i + 419\) , \( -3538 i - 4416\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph