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-a2
200.1-a
$4$
$4$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{4} \)
$1.64627$
$(-a+2), (-a-1), (-a+1)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$1$
$17.62784313$
1.799134205
\( \frac{148176}{25} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( -35 a - 88\) , \( -166 a - 408\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-35a-88\right){x}-166a-408$
200.1-b2
200.1-b
$4$
$4$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{4} \)
$1.64627$
$(-a+2), (-a-1), (-a+1)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$0.341880646$
$32.60784567$
2.275574206
\( \frac{148176}{25} \)
\( \bigl[a\) , \( 0\) , \( 0\) , \( -1\) , \( 0\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}$
400.1-c2
400.1-c
$4$
$4$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
400.1
\( 2^{4} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{4} \)
$1.95776$
$(-a+2), (-a-1), (-a+1)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{2} \)
$1.444410676$
$17.62784313$
2.598688654
\( \frac{148176}{25} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( -4\) , \( -3\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-4{x}-3$
400.1-d2
400.1-d
$4$
$4$
\(\Q(\sqrt{6}) \)
$2$
$[2, 0]$
400.1
\( 2^{4} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{4} \)
$1.95776$
$(-a+2), (-a-1), (-a+1)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{2} \)
$1.001057188$
$32.60784567$
3.331542662
\( \frac{148176}{25} \)
\( \bigl[a\) , \( 0\) , \( 0\) , \( -35 a - 85\) , \( 131 a + 321\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-35a-85\right){x}+131a+321$
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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.