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
100.1-a2
100.1-a
$4$
$6$
\(\Q(\sqrt{7}) \)
$2$
$[2, 0]$
100.1
\( 2^{2} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{4} \)
$1.49526$
$(a+3), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$1$
\( 2 \cdot 3 \)
$1$
$10.34365470$
2.932150499
\( \frac{21296}{25} \)
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 46 a + 123\) , \( -173 a - 458\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(46a+123\right){x}-173a-458$
100.1-d2
100.1-d
$4$
$6$
\(\Q(\sqrt{7}) \)
$2$
$[2, 0]$
100.1
\( 2^{2} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{4} \)
$1.49526$
$(a+3), (5)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2 \cdot 3 \)
$1$
$15.95418988$
0.502509747
\( \frac{21296}{25} \)
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 45 a + 122\) , \( 336 a + 888\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(45a+122\right){x}+336a+888$
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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.