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-d2
1452.1-d
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
1452.1
\( 2^{2} \cdot 3 \cdot 11^{2} \)
\( 2^{4} \cdot 3^{2} \cdot 11^{4} \)
$1.91082$
$(a+1), (a), (-2a+1), (2a+1)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{3} \cdot 3 \)
$0.155820845$
$18.48611395$
2.494605153
\( \frac{810448}{363} \)
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 13 a - 20\) , \( -10 a + 18\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(13a-20\right){x}-10a+18$
1452.1-e2
1452.1-e
$4$
$4$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
1452.1
\( 2^{2} \cdot 3 \cdot 11^{2} \)
\( 2^{4} \cdot 3^{2} \cdot 11^{4} \)
$1.91082$
$(a+1), (a), (-2a+1), (2a+1)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$1$
$14.11216918$
2.036916169
\( \frac{810448}{363} \)
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 11 a - 23\) , \( 22 a - 40\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(11a-23\right){x}+22a-40$
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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.