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-d1
18396.2-d
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
18396.2
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 73 \)
\( 2^{10} \cdot 3^{15} \cdot 7^{5} \cdot 73 \)
$1.80252$
$(-2a+1), (-3a+1), (9a-8), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 2^{2} \cdot 5 \)
$0.171788734$
$0.379140799$
3.008323687
\( -\frac{12211771579546037}{9540459936} a + \frac{983887313721709}{2385114984} \)
\( \bigl[a\) , \( a\) , \( a + 1\) , \( 1233 a - 924\) , \( -15358 a + 2145\bigr] \)
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(1233a-924\right){x}-15358a+2145$
42924.2-a1
42924.2-a
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
42924.2
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 73 \)
\( 2^{10} \cdot 3^{9} \cdot 7^{11} \cdot 73 \)
$2.22779$
$(-2a+1), (-3a+1), (9a-8), (2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 2 \)
$1$
$0.248205916$
0.573207010
\( -\frac{12211771579546037}{9540459936} a + \frac{983887313721709}{2385114984} \)
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -1750 a + 2980\) , \( -33948 a - 23732\bigr] \)
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-1750a+2980\right){x}-33948a-23732$
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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.