Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-34596.2-e
Conductor 34596.2
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 34596.2-e over \(\Q(\sqrt{-7}) \)

Isogeny class 34596.2-e contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
34596.2-e1 \( \bigl[1\) , \( 0\) , \( 0\) , \( -1395\) , \( -20181\bigr] \)
34596.2-e2 \( \bigl[1\) , \( 0\) , \( 0\) , \( 15\) , \( 9\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph