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
$4$
$6$
\(\Q(\sqrt{93}) \)
$2$
$[2, 0]$
100.1
\( 2^{2} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{6} \)
$2.72508$
$(2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$4$
\( 2 \)
$1$
$9.768635228$
2.025920571
\( \frac{804357}{500} \)
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 5 a + 34\) , \( 11 a + 56\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a+34\right){x}+11a+56$
100.1-b2
100.1-b
$4$
$6$
\(\Q(\sqrt{93}) \)
$2$
$[2, 0]$
100.1
\( 2^{2} \cdot 5^{2} \)
\( 2^{4} \cdot 5^{6} \)
$2.72508$
$(2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$4$
\( 2 \)
$1$
$9.768635228$
2.025920571
\( \frac{804357}{500} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( -5 a + 39\) , \( -11 a + 67\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(-5a+39\right){x}-11a+67$
Download
displayed columns for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.