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
1612.2-a1
1612.2-a
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
1612.2
\( 2^{2} \cdot 13 \cdot 31 \)
\( 2^{6} \cdot 13^{2} \cdot 31 \)
$0.98071$
$(-4a+1), (6a-5), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$1$
\( 2 \cdot 3 \)
$0.017208032$
$4.757374054$
1.134355358
\( -\frac{8461385}{41912} a + \frac{74511243}{41912} \)
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( a\) , \( -1\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+a{x}-1$
20956.2-a1
20956.2-a
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
20956.2
\( 2^{2} \cdot 13^{2} \cdot 31 \)
\( 2^{6} \cdot 13^{8} \cdot 31 \)
$1.86220$
$(-4a+1), (6a-5), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 2 \)
$0.501424844$
$1.319458160$
3.055841552
\( -\frac{8461385}{41912} a + \frac{74511243}{41912} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( 29 a - 6\) , \( 10 a - 22\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(29a-6\right){x}+10a-22$
103168.2-j1
103168.2-j
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
103168.2
\( 2^{8} \cdot 13 \cdot 31 \)
\( 2^{30} \cdot 13^{2} \cdot 31 \)
$2.77387$
$(-4a+1), (6a-5), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 2^{2} \)
$0.545438527$
$1.189343513$
5.992561159
\( -\frac{8461385}{41912} a + \frac{74511243}{41912} \)
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 10 a - 37\) , \( -39 a + 29\bigr] \)
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(10a-37\right){x}-39a+29$
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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.