Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-15138.2-a
Conductor 15138.2
Rank not recorded

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 15138.2-a over \(\Q(\sqrt{-1}) \)

Isogeny class 15138.2-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
15138.2-a1 \( \bigl[i\) , \( 0\) , \( i\) , \( -7704\) , \( -1226492\bigr] \)
15138.2-a2 \( \bigl[i\) , \( 0\) , \( i\) , \( 68841\) , \( 31810330\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph