Elliptic curve isogeny class 16875.3-b over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-16875.3-b
• Conductor: 16875.3
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-2}) \)

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 16875.3-b over \(\Q(\sqrt{-2}) \)

Isogeny class 16875.3-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
16875.3-b1	\( \bigl[a\) , \( -a\) , \( 1\) , \( -271 a - 136\) , \( 235 a - 216\bigr] \)
16875.3-b2	\( \bigl[a\) , \( -a\) , \( 1\) , \( -771 a - 386\) , \( -10015 a + 3659\bigr] \)