Properties

Base field \(\Q(\sqrt{38}) \)
Label 2.2.152.1-38.1-c
Conductor 38.1
Rank \( 0 \)

Related objects

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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-c over \(\Q(\sqrt{38}) \)

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

Curve label Weierstrass Coefficients
38.1-c1 \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -31079 a - 191599\) , \( 7993701 a + 49276473\bigr] \)
38.1-c2 \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( a - 9\) , \( -39009 a - 240477\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph