Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-86436.1-e
Conductor 86436.1
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 86436.1-e over \(\Q(\sqrt{-1}) \)

Isogeny class 86436.1-e contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
86436.1-e1 \( \bigl[0\) , \( -1\) , \( 0\) , \( -457\) , \( -2960\bigr] \)
86436.1-e2 \( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i + 543\) , \( 4603 i\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph