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
16.1-a1
16.1-a
$2$
$7$
\(\Q(\sqrt{29}) \)
$2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{16} \)
$0.96243$
$(2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$7$
7B
$1$
\( 1 \)
$1$
$6.065863468$
1.126402568
\( -58240 a - 127696 \)
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -2 a - 1\) , \( -3 a - 7\bigr] \)
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-1\right){x}-3a-7$
16.1-a2
16.1-a
$2$
$7$
\(\Q(\sqrt{29}) \)
$2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{16} \)
$0.96243$
$(2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$7$
7B
$1$
\( 1 \)
$1$
$6.065863468$
1.126402568
\( 58240 a - 185936 \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a - 3\) , \( 3 a - 10\bigr] \)
${y}^2={x}^{3}-a{x}^{2}+\left(2a-3\right){x}+3a-10$
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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.