Properties

Base field \(\Q(\sqrt{7}) \)
Label 2.2.28.1-392.1-i
Conductor 392.1
Rank \( 1 \)

Related objects

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

Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 392.1-i over \(\Q(\sqrt{7}) \)

Isogeny class 392.1-i contains only one elliptic curve.

Curve label Weierstrass Coefficients
392.1-i1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -16\) , \( -29\bigr] \)