Properties

Base field \(\Q(\sqrt{97}) \)
Label 2.2.97.1-8.1-b
Conductor 8.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{97}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 24 \); class number \(1\).

Elliptic curves in class 8.1-b over \(\Q(\sqrt{97}) \)

Isogeny class 8.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
8.1-b1 \( \bigl[a\) , \( -a\) , \( a\) , \( 6314 a + 27955\) , \( -20372430 a - 90136343\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph