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
16384.1-c2
16384.1-c
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
16384.1
\( 2^{14} \)
\( 2^{26} \)
$1.75107$
$(2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2 \)
$0.870557574$
$2.638355459$
2.652162765
\( 23328 \)
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -11 a\) , \( -10 a + 5\bigr] \)
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-11a{x}-10a+5$
16384.1-d2
16384.1-d
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
16384.1
\( 2^{14} \)
\( 2^{14} \)
$1.75107$
$(2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 1 \)
$1$
$5.276710919$
1.523255234
\( 23328 \)
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2 a\) , \( -4 a + 2\bigr] \)
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-2a{x}-4a+2$
16384.1-e2
16384.1-e
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
16384.1
\( 2^{14} \)
\( 2^{26} \)
$1.75107$
$(2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2 \)
$0.870557574$
$2.638355459$
2.652162765
\( 23328 \)
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 12\) , \( 22 a - 5\bigr] \)
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+12\right){x}+22a-5$
16384.1-f2
16384.1-f
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
16384.1
\( 2^{14} \)
\( 2^{14} \)
$1.75107$
$(2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 1 \)
$1$
$5.276710919$
1.523255234
\( 23328 \)
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2 a\) , \( 4 a - 2\bigr] \)
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-2a{x}+4a-2$
147456.1-g2
147456.1-g
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
147456.1
\( 2^{14} \cdot 3^{2} \)
\( 2^{14} \cdot 3^{6} \)
$3.03295$
$(-2a+1), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.477986261$
$3.046510469$
3.362927102
\( 23328 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -9\) , \( -10\bigr] \)
${y}^2={x}^{3}-9{x}-10$
147456.1-h2
147456.1-h
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
147456.1
\( 2^{14} \cdot 3^{2} \)
\( 2^{26} \cdot 3^{6} \)
$3.03295$
$(-2a+1), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$0.298568222$
$1.523255234$
4.201221868
\( 23328 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -36 a + 36\) , \( -80\bigr] \)
${y}^2={x}^{3}+\left(-36a+36\right){x}-80$
147456.1-bo2
147456.1-bo
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
147456.1
\( 2^{14} \cdot 3^{2} \)
\( 2^{14} \cdot 3^{6} \)
$3.03295$
$(-2a+1), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.756605009$
$3.046510469$
5.323181222
\( 23328 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a\) , \( 10\bigr] \)
${y}^2={x}^{3}+9a{x}+10$
147456.1-bp2
147456.1-bp
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
147456.1
\( 2^{14} \cdot 3^{2} \)
\( 2^{26} \cdot 3^{6} \)
$3.03295$
$(-2a+1), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$0.388037535$
$1.523255234$
5.460165067
\( 23328 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -36\) , \( 80\bigr] \)
${y}^2={x}^{3}-36{x}+80$
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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.