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
99937.6-a1
99937.6-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99937.6
\( 37^{2} \cdot 73 \)
\( 37^{6} \cdot 73^{3} \)
$2.75189$
$(-7a+3), (9a-8)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2 \)
$5.493984262$
$0.533036440$
3.381533386
\( -\frac{60988685561}{389017} a - \frac{108786941280}{389017} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 290 a + 262\) , \( 3103 a - 4523\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(290a+262\right){x}+3103a-4523$
99937.6-a2
99937.6-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99937.6
\( 37^{2} \cdot 73 \)
\( 37^{6} \cdot 73^{2} \)
$2.75189$
$(-7a+3), (9a-8)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2^{3} \)
$0.915664043$
$0.799554661$
3.381533386
\( \frac{927841113}{5329} a - \frac{1323774856}{5329} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 30 a - 208\) , \( 253 a - 1145\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(30a-208\right){x}+253a-1145$
99937.6-a3
99937.6-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99937.6
\( 37^{2} \cdot 73 \)
\( 37^{6} \cdot 73^{6} \)
$2.75189$
$(-7a+3), (9a-8)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2^{3} \)
$2.746992131$
$0.266518220$
3.381533386
\( \frac{55816089234767}{151334226289} a + \frac{51536736771337}{151334226289} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 90 a + 427\) , \( 996 a - 6173\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(90a+427\right){x}+996a-6173$
99937.6-a4
99937.6-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99937.6
\( 37^{2} \cdot 73 \)
\( 37^{6} \cdot 73 \)
$2.75189$
$(-7a+3), (9a-8)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2 \)
$1.831328087$
$1.599109322$
3.381533386
\( -\frac{9927}{73} a + \frac{30887}{73} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -5 a - 8\) , \( 24 a - 32\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-5a-8\right){x}+24a-32$
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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.