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
3584.2-b2
3584.2-b
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
3584.2
\( 2^{9} \cdot 7 \)
\( 2^{11} \cdot 7^{3} \)
$1.82928$
$(a), (-a+1), (-2a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{2} \cdot 3 \)
$0.116817630$
$4.127126854$
2.186696136
\( \frac{1104701}{196} a - \frac{241863}{98} \)
\( \bigl[a\) , \( a\) , \( 0\) , \( 2 a + 1\) , \( 2 a - 5\bigr] \)
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(2a+1\right){x}+2a-5$
3584.2-d2
3584.2-d
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
3584.2
\( 2^{9} \cdot 7 \)
\( 2^{17} \cdot 7^{3} \)
$1.82928$
$(a), (-a+1), (-2a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{2} \)
$1$
$2.918319385$
2.206042097
\( \frac{1104701}{196} a - \frac{241863}{98} \)
\( \bigl[a\) , \( -a\) , \( a\) , \( -7\) , \( a - 6\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}-7{x}+a-6$
25088.2-c1
25088.2-c
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
25088.2
\( 2^{9} \cdot 7^{2} \)
\( 2^{17} \cdot 7^{9} \)
$2.97546$
$(a), (-a+1), (-2a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \)
$1$
$1.103021048$
1.667611077
\( \frac{1104701}{196} a - \frac{241863}{98} \)
\( \bigl[a\) , \( a + 1\) , \( a\) , \( 54\) , \( 137 a - 63\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+54{x}+137a-63$
25088.2-e1
25088.2-e
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
25088.2
\( 2^{9} \cdot 7^{2} \)
\( 2^{11} \cdot 7^{9} \)
$2.97546$
$(a), (-a+1), (-2a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{4} \)
$1$
$1.559907326$
4.716716405
\( \frac{1104701}{196} a - \frac{241863}{98} \)
\( \bigl[a\) , \( -1\) , \( a\) , \( -14 a - 12\) , \( 42 a + 11\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-14a-12\right){x}+42a+11$
28672.5-g1
28672.5-g
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
28672.5
\( 2^{12} \cdot 7 \)
\( 2^{23} \cdot 7^{3} \)
$3.07647$
$(a), (-a+1), (-2a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \)
$0.824201334$
$2.063563427$
5.142710798
\( \frac{1104701}{196} a - \frac{241863}{98} \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( 10 a - 14\) , \( -16 a + 20\bigr] \)
${y}^2={x}^{3}-a{x}^{2}+\left(10a-14\right){x}-16a+20$
28672.5-j1
28672.5-j
$2$
$2$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
28672.5
\( 2^{12} \cdot 7 \)
\( 2^{29} \cdot 7^{3} \)
$3.07647$
$(a), (-a+1), (-2a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \cdot 3 \)
$0.369869896$
$1.459159692$
4.895691373
\( \frac{1104701}{196} a - \frac{241863}{98} \)
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -22 a + 7\) , \( -51 a + 79\bigr] \)
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-22a+7\right){x}-51a+79$
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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.