Elliptic curve isogeny class 23104.1-c over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-23104.1-c
• Conductor: 23104.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-1}) \)

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

Elliptic curves in class 23104.1-c over \(\Q(\sqrt{-1}) \)

Isogeny class 23104.1-c contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
23104.1-c1	\( \bigl[0\) , \( 0\) , \( 0\) , \( 1080 i - 1186\) , \( 22126 i - 11040\bigr] \)
23104.1-c2	\( \bigl[0\) , \( 0\) , \( 0\) , \( -1080 i - 1186\) , \( -22126 i - 11040\bigr] \)
23104.1-c3	\( \bigl[0\) , \( 0\) , \( 0\) , \( 14\) , \( 606 i\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 25 & 5 \\ 25 & 1 & 5 \\ 5 & 5 & 1 \end{array}\right)\)

Isogeny graph