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
16384.8-a1
16384.8-a
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
16384.8
\( 2^{14} \)
\( 2^{28} \)
$2.67481$
$(a), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.717596887$
$2.772397005$
3.007786033
\( 128 \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( 3\) , \( 5\bigr] \)
${y}^2={x}^{3}-{x}^{2}+3{x}+5$
16384.8-b1
16384.8-b
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
16384.8
\( 2^{14} \)
\( 2^{16} \)
$2.67481$
$(a), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.432331164$
$5.544794010$
3.624206465
\( 128 \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( 1\) , \( 1\bigr] \)
${y}^2={x}^{3}+{x}^{2}+{x}+1$
16384.8-c1
16384.8-c
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
16384.8
\( 2^{14} \)
\( 2^{22} \)
$2.67481$
$(a), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.622038825$
$3.920761445$
3.687218575
\( 128 \)
\( \bigl[0\) , \( a\) , \( 0\) , \( a - 2\) , \( -a - 2\bigr] \)
${y}^2={x}^{3}+a{x}^{2}+\left(a-2\right){x}-a-2$
16384.8-d1
16384.8-d
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
16384.8
\( 2^{14} \)
\( 2^{22} \)
$2.67481$
$(a), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.622038825$
$3.920761445$
3.687218575
\( 128 \)
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -a - 1\) , \( a - 3\bigr] \)
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a-1\right){x}+a-3$
16384.8-m1
16384.8-m
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
16384.8
\( 2^{14} \)
\( 2^{16} \)
$2.67481$
$(a), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$0.517572203$
$5.544794010$
4.338777031
\( 128 \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( 1\) , \( -1\bigr] \)
${y}^2={x}^{3}-{x}^{2}+{x}-1$
16384.8-n1
16384.8-n
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
16384.8
\( 2^{14} \)
\( 2^{28} \)
$2.67481$
$(a), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$1.155140486$
$2.772397005$
4.841737031
\( 128 \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( 3\) , \( -5\bigr] \)
${y}^2={x}^{3}+{x}^{2}+3{x}-5$
16384.8-o1
16384.8-o
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
16384.8
\( 2^{14} \)
\( 2^{22} \)
$2.67481$
$(a), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$1$
$3.920761445$
2.963817066
\( 128 \)
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -a - 1\) , \( -a + 3\bigr] \)
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-1\right){x}-a+3$
16384.8-p1
16384.8-p
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
16384.8
\( 2^{14} \)
\( 2^{22} \)
$2.67481$
$(a), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$1$
$3.920761445$
2.963817066
\( 128 \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( a - 2\) , \( a + 2\bigr] \)
${y}^2={x}^{3}-a{x}^{2}+\left(a-2\right){x}+a+2$
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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.