Properties

Base field \(\Q(\sqrt{-79}) \)
Label 2.0.79.1-92.3-a
Conductor 92.3
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-79}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 20 \); class number \(5\).

Elliptic curves in class 92.3-a over \(\Q(\sqrt{-79}) \)

Isogeny class 92.3-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
92.3-a1 \( \bigl[1\) , \( a - 1\) , \( 0\) , \( -29 a - 222\) , \( 173 a + 2176\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph