Properties

Base field \(\Q(\sqrt{57}) \)
Label 2.2.57.1-192.7-h
Conductor 192.7
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{57}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 192.7-h over \(\Q(\sqrt{57}) \)

Isogeny class 192.7-h contains only one elliptic curve.

Curve label Weierstrass Coefficients
192.7-h1 \( \bigl[0\) , \( 1\) , \( a\) , \( 63 a - 269\) , \( 551 a - 2360\bigr] \)