Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-8281.2-b
Conductor 8281.2
Rank \( 2 \)

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 8281.2-b over \(\Q(\sqrt{-1}) \)

Isogeny class 8281.2-b contains 3 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
8281.2-b1 \( \bigl[0\) , \( 1\) , \( 1\) , \( -7\) , \( 5\bigr] \)
8281.2-b2 \( \bigl[0\) , \( 1\) , \( 1\) , \( -117\) , \( -1245\bigr] \)
8281.2-b3 \( \bigl[0\) , \( 1\) , \( 1\) , \( 13\) , \( 42\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph