Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-99225.2-d
Conductor 99225.2
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 99225.2-d over \(\Q(\sqrt{-1}) \)

Isogeny class 99225.2-d contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
99225.2-d1 \( \bigl[1\) , \( -1\) , \( i + 1\) , \( -47 i - 20\) , \( 141 i + 93\bigr] \)
99225.2-d2 \( \bigl[1\) , \( -1\) , \( i + 1\) , \( 268 i - 20\) , \( 1275 i + 534\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph