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
99372.6-e2
99372.6-e
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99372.6
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)
\( 2^{4} \cdot 3^{7} \cdot 7^{7} \cdot 13^{9} \)
$2.74799$
$(-2a+1), (-3a+1), (3a-2), (4a-3), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \cdot 3 \)
$1$
$0.269250960$
1.865425377
\( -\frac{408415775}{777924} a + \frac{1373049847}{777924} \)
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 684 a - 548\) , \( 1413 a + 2361\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(684a-548\right){x}+1413a+2361$
99372.6-k2
99372.6-k
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99372.6
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)
\( 2^{4} \cdot 3^{7} \cdot 7^{7} \cdot 13^{3} \)
$2.74799$
$(-2a+1), (-3a+1), (3a-2), (4a-3), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{4} \cdot 3 \cdot 7 \)
$0.025937005$
$0.970798145$
4.884582136
\( -\frac{408415775}{777924} a + \frac{1373049847}{777924} \)
\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -55 a + 15\) , \( 73 a + 18\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-55a+15\right){x}+73a+18$
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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.