Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-14641.3-a
Conductor 14641.3
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 14641.3-a over \(\Q(\sqrt{-2}) \)

Isogeny class 14641.3-a contains 2 curves linked by isogenies of degree 11.

Curve label Weierstrass Coefficients
14641.3-a1 \( \bigl[1\) , \( 1\) , \( 1\) , \( -30\) , \( -76\bigr] \)
14641.3-a2 \( \bigl[1\) , \( 1\) , \( 1\) , \( -305\) , \( 7888\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph