Properties

Base field 4.4.19821.1
Label 4.4.19821.1-48.1-g
Conductor 48.1
Rank not recorded

Related objects

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Base field 4.4.19821.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 8 x^{2} + 6 x + 3 \); class number \(1\).

Elliptic curves in class 48.1-g over 4.4.19821.1

Isogeny class 48.1-g contains only one elliptic curve.

Curve label Weierstrass Coefficients
48.1-g1 \( \bigl[-\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 3 a - 3\) , \( -a^{2} + a + 3\) , \( -\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 3 a - 2\) , \( -\frac{7}{3} a^{3} + \frac{11}{3} a^{2} + 14 a - 18\) , \( -\frac{31}{3} a^{3} + \frac{41}{3} a^{2} + 79 a - 96\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph