Label
Class
Class size
Class degree
Base field
Field degree
Field signature
Conductor
Conductor norm
Discriminant norm
Root analytic conductor
Bad primes
Rank
Torsion
CM
CM
Sato-Tate
$\Q$-curve
Base change
Semistable
Potentially good
Nonmax $\ell$
mod-$\ell$ images
$Ш_{\textrm{an}}$
Tamagawa
Regulator
Period
Leading coeff
j-invariant
Weierstrass coefficients
Weierstrass equation
980.1-a1
980.1-a
$4$
$4$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
980.1
\( 2^{2} \cdot 5 \cdot 7^{2} \)
\( 2^{8} \cdot 5^{4} \cdot 7^{2} \)
$1.11797$
$(-2a+1), (2), (7)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$1$
$5.572473402$
1.246042932
\( \frac{1367631}{2800} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( 2\) , \( -3\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+2{x}-3$
980.1-a2
980.1-a
$4$
$4$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
980.1
\( 2^{2} \cdot 5 \cdot 7^{2} \)
\( 2^{4} \cdot 5^{8} \cdot 7^{4} \)
$1.11797$
$(-2a+1), (2), (7)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$1$
$5.572473402$
1.246042932
\( \frac{611960049}{122500} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -18\) , \( -19\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-18{x}-19$
980.1-a3
980.1-a
$4$
$4$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
980.1
\( 2^{2} \cdot 5 \cdot 7^{2} \)
\( 2^{2} \cdot 5^{16} \cdot 7^{2} \)
$1.11797$
$(-2a+1), (2), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2 \)
$1$
$5.572473402$
1.246042932
\( \frac{74565301329}{5468750} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -88\) , \( 317\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-88{x}+317$
980.1-a4
980.1-a
$4$
$4$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
980.1
\( 2^{2} \cdot 5 \cdot 7^{2} \)
\( 2^{2} \cdot 5^{4} \cdot 7^{8} \)
$1.11797$
$(-2a+1), (2), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$1$
$1.393118350$
1.246042932
\( \frac{2121328796049}{120050} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -268\) , \( -1619\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-268{x}-1619$
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*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.