Properties

Base field 4.4.19821.1
Label 4.4.19821.1-48.1-d
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-d over 4.4.19821.1

Isogeny class 48.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
48.1-d1 \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a\) , \( -a^{2} + a + 3\) , \( -\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 3 a - 2\) , \( 2 a^{3} + a^{2} - 19 a - 7\) , \( \frac{25}{3} a^{3} + \frac{1}{3} a^{2} - 64 a - 24\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph