Properties

Base field \(\Q(\sqrt{2}) \)
Label 2.2.8.1-4900.1-h
Conductor 4900.1
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 4900.1-h over \(\Q(\sqrt{2}) \)

Isogeny class 4900.1-h contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
4900.1-h1 \( \bigl[0\) , \( -1\) , \( a\) , \( -201\) , \( -1033\bigr] \)
4900.1-h2 \( \bigl[0\) , \( -1\) , \( a\) , \( -1\) , \( -3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph