Elliptic curve isogeny class 30625.1-b over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-30625.1-b
• Conductor: 30625.1
• Rank: \( 2 \)

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

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

Elliptic curves in class 30625.1-b over \(\Q(\sqrt{-2}) \)

Isogeny class 30625.1-b contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
30625.1-b1	\( \bigl[0\) , \( -1\) , \( 1\) , \( -3283\) , \( -74657\bigr] \)
30625.1-b2	\( \bigl[0\) , \( -1\) , \( 1\) , \( -33\) , \( 93\bigr] \)
30625.1-b3	\( \bigl[0\) , \( -1\) , \( 1\) , \( 217\) , \( -282\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph