Elliptic curve isogeny class 42250.6-g over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-42250.6-g
• Conductor: 42250.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 42250.6-g over \(\Q(\sqrt{-1}) \)

Isogeny class 42250.6-g contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
42250.6-g1	\( \bigl[i\) , \( i\) , \( i\) , \( -3988 i + 464\) , \( -54183 i + 82950\bigr] \)
42250.6-g2	\( \bigl[i\) , \( i\) , \( i\) , \( 197 i - 116\) , \( -779 i + 478\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph