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
99937.5-a1
99937.5-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99937.5
\( 37^{2} \cdot 73 \)
\( 37^{6} \cdot 73^{3} \)
$2.75189$
$(-7a+3), (-9a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2 \)
$5.636818415$
$0.533036440$
3.469447446
\( \frac{60988685561}{389017} a - \frac{169775626841}{389017} \)
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -426 a + 517\) , \( 1222 a + 3066\bigr] \)
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-426a+517\right){x}+1222a+3066$
99937.5-a2
99937.5-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99937.5
\( 37^{2} \cdot 73 \)
\( 37^{6} \cdot 73^{2} \)
$2.75189$
$(-7a+3), (-9a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2^{3} \)
$0.939469735$
$0.799554661$
3.469447446
\( -\frac{927841113}{5329} a - \frac{395933743}{5329} \)
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 44 a - 213\) , \( -308 a + 1248\bigr] \)
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(44a-213\right){x}-308a+1248$
99937.5-a3
99937.5-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99937.5
\( 37^{2} \cdot 73 \)
\( 37^{6} \cdot 73 \)
$2.75189$
$(-7a+3), (-9a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2 \)
$1.878939471$
$1.599109322$
3.469447446
\( \frac{9927}{73} a + \frac{20960}{73} \)
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 9 a - 13\) , \( 8 a + 29\bigr] \)
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(9a-13\right){x}+8a+29$
99937.5-a4
99937.5-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
99937.5
\( 37^{2} \cdot 73 \)
\( 37^{6} \cdot 73^{6} \)
$2.75189$
$(-7a+3), (-9a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2^{3} \)
$2.818409207$
$0.266518220$
3.469447446
\( -\frac{55816089234767}{151334226289} a + \frac{107352826006104}{151334226289} \)
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -261 a + 552\) , \( -2215 a + 6278\bigr] \)
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-261a+552\right){x}-2215a+6278$
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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.