Elliptic curve isogeny class 38416.1-f over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-38416.1-f
• Conductor: 38416.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-2}) \)

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

Elliptic curves in class 38416.1-f over \(\Q(\sqrt{-2}) \)

Isogeny class 38416.1-f contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
38416.1-f1	\( \bigl[a\) , \( -1\) , \( 0\) , \( 13\) , \( -92\bigr] \)
38416.1-f2	\( \bigl[a\) , \( -1\) , \( 0\) , \( -722\) , \( 6278\bigr] \)
38416.1-f3	\( \bigl[a\) , \( -1\) , \( 0\) , \( -232\) , \( -1170\bigr] \)
38416.1-f4	\( \bigl[a\) , \( -1\) , \( 0\) , \( -3662\) , \( -83490\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph