Properties

Base field 4.4.18432.1
Label 4.4.18432.1-7.4-b
Conductor 7.4
Rank not recorded

Related objects

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Base field 4.4.18432.1

Generator \(a\), with minimal polynomial \( x^{4} - 12 x^{2} + 18 \); class number \(1\).

Elliptic curves in class 7.4-b over 4.4.18432.1

Isogeny class 7.4-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
7.4-b1 \( \bigl[\frac{1}{3} a^{2} + a - 1\) , \( \frac{1}{3} a^{3} - \frac{1}{3} a^{2} - 4 a + 3\) , \( \frac{1}{3} a^{2} - 1\) , \( \frac{8}{3} a^{3} - \frac{13}{3} a^{2} - 16 a + 12\) , \( \frac{1}{3} a^{3} + \frac{43}{3} a^{2} - 32 a - 50\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph