Properties

Base field \(\Q(\sqrt{38}) \)
Label 2.2.152.1-38.1-d
Conductor 38.1
Rank not recorded

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Base field \(\Q(\sqrt{38}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 38 \); class number \(1\).

Elliptic curves in class 38.1-d over \(\Q(\sqrt{38}) \)

Isogeny class 38.1-d contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
38.1-d1 \( \bigl[1\) , \( 1\) , \( 1\) , \( -70\) , \( -279\bigr] \)
38.1-d2 \( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 1\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph