Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-36450.2-o
Conductor 36450.2
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 36450.2-o over \(\Q(\sqrt{-1}) \)

Isogeny class 36450.2-o contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
36450.2-o1 \( \bigl[i\) , \( 1\) , \( i\) , \( -1432\) , \( 20519\bigr] \)
36450.2-o2 \( \bigl[i\) , \( 1\) , \( i\) , \( 8\) , \( 103\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph