Properties

Base field 4.4.6125.1
Label 4.4.6125.1-59.3-b
Conductor 59.3
Rank \( 1 \)

Related objects

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Base field 4.4.6125.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 9 x^{2} + 9 x + 11 \); class number \(1\).

Elliptic curves in class 59.3-b over 4.4.6125.1

Isogeny class 59.3-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
59.3-b1 \( \bigl[a^{3} + 2 a^{2} - 5 a - 7\) , \( a^{2} + a - 5\) , \( a^{3} + a^{2} - 6 a - 4\) , \( 13 a^{3} + 17 a^{2} - 74 a - 56\) , \( 19 a^{3} + 25 a^{2} - 110 a - 87\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph