Properties

Base field 3.3.761.1
Label 3.3.761.1-23.2-b
Conductor 23.2
Rank \( 1 \)

Related objects

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Base field 3.3.761.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x - 1 \); class number \(1\).

Elliptic curves in class 23.2-b over 3.3.761.1

Isogeny class 23.2-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
23.2-b1 \( \bigl[1\) , \( a^{2} - a - 4\) , \( a^{2} - a - 4\) , \( 3 a^{2} - 3 a - 18\) , \( -12 a^{2} + 14 a + 69\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph