Elliptic curve isogeny class 57600.1-n over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-57600.1-n
• Conductor: 57600.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 57600.1-n over \(\Q(\sqrt{-1}) \)

Isogeny class 57600.1-n contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
57600.1-n1	\( \bigl[0\) , \( -1\) , \( 0\) , \( 454 i + 495\) , \( -3106 i + 5845\bigr] \)
57600.1-n2	\( \bigl[0\) , \( i\) , \( 0\) , \( -76 i - 924\) , \( 328 i + 10912\bigr] \)
57600.1-n3	\( \bigl[0\) , \( i\) , \( 0\) , \( -16 i + 496\) , \( -4360 i - 3304\bigr] \)
57600.1-n4	\( \bigl[0\) , \( i\) , \( 0\) , \( -106 i - 134\) , \( -832 i - 208\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 4 & 2 \\ 4 & 1 & 4 & 2 \\ 4 & 4 & 1 & 2 \\ 2 & 2 & 2 & 1 \end{array}\right)\)

Isogeny graph