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
1452.1-c3
1452.1-c
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
1452.1
\( 2^{2} \cdot 3 \cdot 11^{2} \)
\( 2^{4} \cdot 3^{6} \cdot 11^{2} \)
$0.95541$
$(-2a+1), (2), (11)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1[2]
$1$
\( 2^{2} \cdot 3 \)
$1$
$3.738805730$
1.439066996
\( \frac{18609625}{1188} \)
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -6 a + 5\) , \( 4\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-6a+5\right){x}+4$
92928.1-d3
92928.1-d
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
92928.1
\( 2^{8} \cdot 3 \cdot 11^{2} \)
\( 2^{28} \cdot 3^{6} \cdot 11^{2} \)
$2.70231$
$(-2a+1), (2), (11)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B[2]
$1$
\( 2^{3} \)
$0.541465068$
$0.934701432$
4.675227060
\( \frac{18609625}{1188} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -88\) , \( -272\bigr] \)
${y}^2={x}^{3}-{x}^{2}-88{x}-272$
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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.