Properties

Base field 5.5.36497.1
Label 5.5.36497.1-25.1-b
Conductor 25.1
Rank not recorded

Related objects

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Base field 5.5.36497.1

Generator \(a\), with minimal polynomial \( x^{5} - 2 x^{4} - 3 x^{3} + 5 x^{2} + x - 1 \); class number \(1\).

Elliptic curves in class 25.1-b over 5.5.36497.1

Isogeny class 25.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-b1 \( \bigl[a^{4} - a^{3} - 4 a^{2} + 3 a + 2\) , \( -a^{4} + 2 a^{3} + 4 a^{2} - 5 a - 3\) , \( a^{4} - a^{3} - 3 a^{2} + a + 1\) , \( -28 a^{4} + 44 a^{3} + 105 a^{2} - 98 a - 72\) , \( 137 a^{4} - 218 a^{3} - 500 a^{2} + 480 a + 332\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph