Elliptic curve isogeny class 18000.3-c over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-18000.3-c
• Conductor: 18000.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 18000.3-c over \(\Q(\sqrt{-1}) \)

Isogeny class 18000.3-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
18000.3-c1	\( \bigl[0\) , \( -i\) , \( 0\) , \( 2 i - 31\) , \( -31 i + 33\bigr] \)
18000.3-c2	\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -8 i - 34\) , \( 20 i + 31\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph