Properties

Base field 4.4.19821.1
Label 4.4.19821.1-48.1-h
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-h over 4.4.19821.1

Isogeny class 48.1-h contains only one elliptic curve.

Curve label Weierstrass Coefficients
48.1-h1 \( \bigl[1\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 3 a - 1\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a\) , \( a^{3} - 6 a^{2} + 8 a + 1\) , \( 8 a^{3} - 30 a^{2} + 14 a + 9\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph