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
21025.2-a1
21025.2-a
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
21025.2
\( 5^{2} \cdot 29^{2} \)
\( 5^{4} \cdot 29^{4} \)
$2.84690$
$(-4a+1), (4a-3), (5)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$0.119420869$
$2.664071081$
1.923964252
\( \frac{1367631}{21025} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( 2\) , \( 6\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+2{x}+6$
21025.2-a2
21025.2-a
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
21025.2
\( 5^{2} \cdot 29^{2} \)
\( 5^{2} \cdot 29^{2} \)
$2.84690$
$(-4a+1), (4a-3), (5)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 1 \)
$0.477683476$
$5.328142162$
1.923964252
\( \frac{2146689}{145} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -3\) , \( 2\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+2$
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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.