Elliptic curve isogeny class 30625.3-c over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-30625.3-c
• Conductor: 30625.3
• Rank: \( 2 \)

Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).

Elliptic curves in class 30625.3-c over \(\Q(\sqrt{-11}) \)

Isogeny class 30625.3-c contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
30625.3-c1	\( \bigl[0\) , \( -1\) , \( 1\) , \( -3283\) , \( -74657\bigr] \)
30625.3-c2	\( \bigl[0\) , \( -1\) , \( 1\) , \( -33\) , \( 93\bigr] \)
30625.3-c3	\( \bigl[0\) , \( -1\) , \( 1\) , \( 217\) , \( -282\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph