Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 171.1-c over \(\Q(\sqrt{19}) \)
Isogeny class 171.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
171.1-c1 | \( \bigl[1\) , \( 1\) , \( a\) , \( 659571 a - 2875005\) , \( -608482693 a + 2652314563\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)