Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-36100.2-h
Conductor 36100.2
Rank \( 1 \)

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 36100.2-h over \(\Q(\sqrt{-7}) \)

Isogeny class 36100.2-h contains only one elliptic curve.

Curve label Weierstrass Coefficients
36100.2-h1 \( \bigl[1\) , \( -1\) , \( 1\) , \( -48\) , \( 147\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph