Elliptic curve isogeny class 57600.3-g over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-57600.3-g
• Conductor: 57600.3
• Rank: \( 1 \)

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

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

Elliptic curves in class 57600.3-g over \(\Q(\sqrt{-1}) \)

Isogeny class 57600.3-g contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
57600.3-g1	\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 6 i + 11\) , \( -21 i - 19\bigr] \)
57600.3-g2	\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 406 i - 229\) , \( -3099 i - 1501\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph