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
2916.1-a2
2916.1-a
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
2916.1
\( 2^{2} \cdot 3^{6} \)
\( 2^{12} \cdot 3^{8} \)
$1.13736$
$(-2a+1), (2)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1[2]
$1$
\( 2 \cdot 3^{2} \)
$0.101978294$
$3.305583379$
1.556987840
\( \frac{109503}{64} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( 4\) , \( -1\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+4{x}-1$
142884.1-i2
142884.1-i
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
142884.1
\( 2^{2} \cdot 3^{6} \cdot 7^{2} \)
\( 2^{12} \cdot 3^{14} \cdot 7^{6} \)
$3.00916$
$(-2a+1), (-3a+1), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B[2]
$1$
\( 2^{2} \)
$0.738886510$
$0.721337431$
4.923518365
\( \frac{109503}{64} \)
\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -40 a + 104\) , \( -6 a - 22\bigr] \)
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-40a+104\right){x}-6a-22$
142884.3-i2
142884.3-i
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
142884.3
\( 2^{2} \cdot 3^{6} \cdot 7^{2} \)
\( 2^{12} \cdot 3^{14} \cdot 7^{6} \)
$3.00916$
$(-2a+1), (3a-2), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B[2]
$1$
\( 2^{2} \)
$0.738886510$
$0.721337431$
4.923518365
\( \frac{109503}{64} \)
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 64 a - 103\) , \( 5 a - 27\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(64a-103\right){x}+5a-27$
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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.