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
18396.2-a1
18396.2-a
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
18396.2
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 73 \)
\( 2^{2} \cdot 3^{9} \cdot 7^{3} \cdot 73 \)
$1.80252$
$(-2a+1), (-3a+1), (9a-8), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 2^{2} \cdot 3 \)
$0.042854091$
$2.311303557$
2.744921258
\( -\frac{184898138}{225351} a + \frac{467460443}{450702} \)
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( a - 8\) , \( -9 a + 11\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-8\right){x}-9a+11$
42924.2-d1
42924.2-d
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
42924.2
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 73 \)
\( 2^{2} \cdot 3^{3} \cdot 7^{9} \cdot 73 \)
$2.22779$
$(-2a+1), (-3a+1), (9a-8), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 2^{2} \)
$0.242003122$
$1.513103357$
3.382586569
\( -\frac{184898138}{225351} a + \frac{467460443}{450702} \)
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -19 a + 8\) , \( -42 a + 26\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-19a+8\right){x}-42a+26$
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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.