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-e4
200.1-e
$4$
$4$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{3} \)
$2.22906$
$(a+3), (a-4), (-a-4)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$4$
\( 2^{2} \)
$1$
$20.96038636$
3.159897137
\( \frac{2105151487912}{25} a + \frac{6981998611492}{25} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 57 a - 197\) , \( -336 a + 1119\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(57a-197\right){x}-336a+1119$
200.1-f4
200.1-f
$4$
$4$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{3} \)
$2.22906$
$(a+3), (a-4), (-a-4)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \)
$2.094228095$
$2.892367717$
3.652675910
\( \frac{2105151487912}{25} a + \frac{6981998611492}{25} \)
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 59 a - 201\) , \( 452 a - 1521\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(59a-201\right){x}+452a-1521$
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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.