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
2511.1-a1
2511.1-a
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
2511.1
\( 3^{4} \cdot 31 \)
\( 3^{4} \cdot 31^{2} \)
$1.09562$
$(-2a+1), (-6a+1)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2Cn
$1$
\( 2 \)
$0.061907357$
$4.988387099$
1.426368616
\( -\frac{2138112}{961} a + \frac{7876608}{961} \)
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 4 a - 2\) , \( 3 a - 2\bigr] \)
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-2\right){x}+3a-2$
77841.1-a1
77841.1-a
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
77841.1
\( 3^{4} \cdot 31^{2} \)
\( 3^{10} \cdot 31^{8} \)
$2.58524$
$(-2a+1), (-6a+1)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2Cn
$1$
\( 2^{2} \)
$0.614294300$
$0.517271645$
2.935313648
\( -\frac{2138112}{961} a + \frac{7876608}{961} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( 6 a - 249\) , \( 108 a - 1359\bigr] \)
${y}^2+{y}={x}^{3}+\left(6a-249\right){x}+108a-1359$
123039.1-e1
123039.1-e
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
123039.1
\( 3^{4} \cdot 7^{2} \cdot 31 \)
\( 3^{10} \cdot 7^{6} \cdot 31^{2} \)
$2.89874$
$(-2a+1), (-3a+1), (-6a+1)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2Cn
$1$
\( 2 \)
$1$
$1.088555308$
2.513910801
\( -\frac{2138112}{961} a + \frac{7876608}{961} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( -42 a + 63\) , \( -72 a - 90\bigr] \)
${y}^2+{y}={x}^{3}+\left(-42a+63\right){x}-72a-90$
123039.5-a1
123039.5-a
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
123039.5
\( 3^{4} \cdot 7^{2} \cdot 31 \)
\( 3^{10} \cdot 7^{6} \cdot 31^{2} \)
$2.89874$
$(-2a+1), (3a-2), (-6a+1)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2Cn
$1$
\( 2 \cdot 3 \)
$0.305018265$
$1.088555308$
4.600732268
\( -\frac{2138112}{961} a + \frac{7876608}{961} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( 54 a - 57\) , \( -162 a + 85\bigr] \)
${y}^2+{y}={x}^{3}+\left(54a-57\right){x}-162a+85$
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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.