Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-15138.2-c
Conductor 15138.2
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{-2}) \)

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

Elliptic curves in class 15138.2-c over \(\Q(\sqrt{-2}) \)

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

Curve label Weierstrass Coefficients
15138.2-c1 \( \bigl[1\) , \( 0\) , \( 1\) , \( -7705\) , \( 1226492\bigr] \)
15138.2-c2 \( \bigl[1\) , \( 0\) , \( 1\) , \( 68840\) , \( -31810330\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph