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-c4
200.1-c
$4$
$4$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{9} \)
$2.22906$
$(a+3), (a-4), (-a-4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{4} \)
$1$
$5.240096591$
3.159897137
\( \frac{179425843432}{390625} a + \frac{595817255308}{390625} \)
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -117 a - 387\) , \( -1500 a - 4975\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-117a-387\right){x}-1500a-4975$
200.1-h4
200.1-h
$4$
$4$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{9} \)
$2.22906$
$(a+3), (a-4), (-a-4)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{5} \)
$0.523557023$
$11.56947087$
3.652675910
\( \frac{179425843432}{390625} a + \frac{595817255308}{390625} \)
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -119 a - 391\) , \( 1264 a + 4193\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-119a-391\right){x}+1264a+4193$
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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.