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
200.1-a1
200.1-a
$4$
$4$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{8} \)
$1.64627$
$(-a+2), (-a-1), (-a+1)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{5} \)
$1$
$4.406960782$
1.799134205
\( \frac{237276}{625} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( 65 a + 157\) , \( -809 a - 1983\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(65a+157\right){x}-809a-1983$
200.1-b1
200.1-b
$4$
$4$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{8} \)
$1.64627$
$(-a+2), (-a-1), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$0.170940323$
$8.151961419$
2.275574206
\( \frac{237276}{625} \)
\( \bigl[a\) , \( 0\) , \( 0\) , \( 4\) , \( 6\bigr] \)
${y}^2+a{x}{y}={x}^{3}+4{x}+6$
400.1-c1
400.1-c
$4$
$4$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
400.1
\( 2^{4} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{8} \)
$1.95776$
$(-a+2), (-a-1), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$0.722205338$
$4.406960782$
2.598688654
\( \frac{237276}{625} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( 1\) , \( -4\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}-4$
400.1-d1
400.1-d
$4$
$4$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
400.1
\( 2^{4} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{8} \)
$1.95776$
$(-a+2), (-a-1), (-a+1)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{5} \)
$0.500528594$
$8.151961419$
3.331542662
\( \frac{237276}{625} \)
\( \bigl[a\) , \( 0\) , \( 0\) , \( 65 a + 160\) , \( 874 a + 2141\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(65a+160\right){x}+874a+2141$
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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.