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-d2
200.1-d
$2$
$2$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{13} \)
$2.22906$
$(a+3), (a-4), (-a-4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{2} \cdot 5 \)
$1$
$3.854599742$
2.905513878
\( \frac{556737823072}{390625} a + \frac{1849158305968}{390625} \)
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 202 a - 669\) , \( -2435 a + 8071\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(202a-669\right){x}-2435a+8071$
200.1-g2
200.1-g
$2$
$2$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{13} \)
$2.22906$
$(a+3), (a-4), (-a-4)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{2} \cdot 5 \)
$0.270313739$
$7.109922335$
2.897387877
\( \frac{556737823072}{390625} a + \frac{1849158305968}{390625} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 200 a - 665\) , \( 2837 a - 9409\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(200a-665\right){x}+2837a-9409$
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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.