Elliptic curve isogeny class 98000.3-i over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-98000.3-i
• Conductor: 98000.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 98000.3-i over \(\Q(\sqrt{-1}) \)

Isogeny class 98000.3-i contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
98000.3-i1	\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 2102 i - 1576\) , \( 53504 i - 10922\bigr] \)
98000.3-i2	\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 22 i - 16\) , \( -56 i - 2\bigr] \)
98000.3-i3	\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -138 i + 104\) , \( 136 i + 54\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph