Elliptic curve isogeny class 19602.1-c over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-19602.1-c
• Conductor: 19602.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 19602.1-c over \(\Q(\sqrt{-1}) \)

Isogeny class 19602.1-c contains 4 curves linked by isogenies of degrees dividing 10.

Curve label	Weierstrass Coefficients
19602.1-c1	\( \bigl[1\) , \( -1\) , \( 0\) , \( -90495\) , \( 10538343\bigr] \)
19602.1-c2	\( \bigl[i\) , \( 1\) , \( 0\) , \( 1035\) , \( 15147\bigr] \)
19602.1-c3	\( \bigl[i\) , \( 1\) , \( 0\) , \( -405\) , \( 2187\bigr] \)
19602.1-c4	\( \bigl[1\) , \( -1\) , \( 0\) , \( -90585\) , \( 10516473\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 5 & 10 & 2 \\ 5 & 1 & 2 & 10 \\ 10 & 2 & 1 & 5 \\ 2 & 10 & 5 & 1 \end{array}\right)\)

Isogeny graph