Properties

Base field 4.4.17725.1
Label 4.4.17725.1-19.1-b
Conductor 19.1
Rank not recorded

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Base field 4.4.17725.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 12 x^{2} + 13 x + 41 \); class number \(1\).

Elliptic curves in class 19.1-b over 4.4.17725.1

Isogeny class 19.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
19.1-b1 \( \bigl[a^{3} - a^{2} - 6 a\) , \( -a^{3} + 2 a^{2} + 7 a - 7\) , \( a^{3} - a^{2} - 6 a\) , \( a^{3} - 5 a^{2} - a + 33\) , \( 2 a^{2} + a - 11\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph