Properties

Base field 5.5.36497.1
Label 5.5.36497.1-37.1-c
Conductor 37.1
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 37.1-c over 5.5.36497.1

Isogeny class 37.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
37.1-c1 \( \bigl[a^{4} - a^{3} - 3 a^{2} + a\) , \( a^{3} - a^{2} - 2 a + 1\) , \( 2 a^{4} - 3 a^{3} - 7 a^{2} + 8 a + 3\) , \( a^{4} - 2 a^{3} - 2 a^{2} + 4 a - 1\) , \( -2 a^{4} + 3 a^{3} + 7 a^{2} - 6 a - 5\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph