Elliptic curve isogeny class 34.1-a over number field \(\Q(\sqrt{38}) \)

• Base field: \(\Q(\sqrt{38}) \)
• Label: 2.2.152.1-34.1-a
• Conductor: 34.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 34.1-a over \(\Q(\sqrt{38}) \)

Isogeny class 34.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
34.1-a1	\( \bigl[1\) , \( -a\) , \( 1\) , \( 299 a - 1832\) , \( -6106 a + 37632\bigr] \)
34.1-a2	\( \bigl[1\) , \( -a\) , \( 1\) , \( 4739 a - 29202\) , \( -430790 a + 2655560\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph