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
3100.2-a2
3100.2-a
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
3100.2
\( 2^{2} \cdot 5^{2} \cdot 31 \)
\( 2^{4} \cdot 5^{6} \cdot 31^{2} \)
$1.15489$
$(6a-5), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{2} \)
$1$
$1.524406736$
1.760233279
\( -\frac{1233998717677}{480500} a + \frac{530744640108}{120125} \)
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( 63 a + 28\) , \( 161 a - 354\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(63a+28\right){x}+161a-354$
77500.2-a2
77500.2-a
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
77500.2
\( 2^{2} \cdot 5^{4} \cdot 31 \)
\( 2^{4} \cdot 5^{18} \cdot 31^{2} \)
$2.58241$
$(6a-5), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \)
$1$
$0.304881347$
0.704093311
\( -\frac{1233998717677}{480500} a + \frac{530744640108}{120125} \)
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 716 a - 2296\) , \( 17116 a - 40348\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(716a-2296\right){x}+17116a-40348$
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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.