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
284.2-a1
284.2-a
$2$
$3$
\(\Q(\sqrt{-67}) \)
$2$
$[0, 1]$
284.2
\( 2^{2} \cdot 71 \)
\( 2^{4} \cdot 71^{3} \)
$3.00266$
$(2a+1), (2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B.1.2
$4$
\( 2 \)
$1$
$1.614969731$
3.156799276
\( \frac{5091264344375}{715822} a - \frac{49612130873497}{1431644} \)
\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -26 a + 61\) , \( 53 a - 244\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^3+\left(a-1\right){x}^2+\left(-26a+61\right){x}+53a-244$
284.2-a2
284.2-a
$2$
$3$
\(\Q(\sqrt{-67}) \)
$2$
$[0, 1]$
284.2
\( 2^{2} \cdot 71 \)
\( 2^{12} \cdot 71 \)
$3.00266$
$(2a+1), (2)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B.1.1
$4$
\( 2 \cdot 3 \)
$1$
$4.844909195$
3.156799276
\( \frac{157087}{2272} a + \frac{3592779}{4544} \)
\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -6 a + 1\) , \( a + 24\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^3+\left(a-1\right){x}^2+\left(-6a+1\right){x}+a+24$
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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.