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
2916.3-a1
2916.3-a
$2$
$3$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
2916.3
\( 2^{2} \cdot 3^{6} \)
\( 2^{8} \cdot 3^{16} \)
$1.85729$
$(a), (-a-1), (a-1)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2Cn , 3B.1.2
$1$
\( 1 \)
$1$
$1.994324672$
1.410200499
\( 512 a - 256 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a + 3\) , \( 2 a + 17\bigr] \)
${y}^2={x}^{3}+\left(-6a+3\right){x}+2a+17$
2916.3-a2
2916.3-a
$2$
$3$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
2916.3
\( 2^{2} \cdot 3^{6} \)
\( 2^{8} \cdot 3^{12} \)
$1.85729$
$(a), (-a-1), (a-1)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2Cn , 3B.1.1
$1$
\( 3^{2} \)
$1$
$1.994324672$
1.410200499
\( 181760 a + 273152 \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a - 33\) , \( 20 a + 71\bigr] \)
${y}^2={x}^{3}+\left(-6a-33\right){x}+20a+71$
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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.