Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-67600.8-h
Conductor 67600.8
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-1}) \)

Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 67600.8-h over \(\Q(\sqrt{-1}) \)

Isogeny class 67600.8-h contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
67600.8-h1 \( \bigl[0\) , \( i\) , \( 0\) , \( -14 i + 21\) , \( -37 i + 3\bigr] \)
67600.8-h2 \( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -24 i + 18\) , \( 10 i - 29\bigr] \)