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
23.1-a2
23.1-a
$2$
$2$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
23.1
\( 23 \)
\( 23 \)
$1.71718$
$(a+6)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 1 \)
$1.329353927$
$38.88510373$
2.945428784
\( -\frac{1224298528787}{23} a + \frac{5983743984822}{23} \)
\( \bigl[1\) , \( a\) , \( a + 1\) , \( -57 a - 217\) , \( 393 a + 1526\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-57a-217\right){x}+393a+1526$
23.1-b2
23.1-b
$2$
$2$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
23.1
\( 23 \)
\( 23 \)
$1.71718$
$(a+6)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 1 \)
$10.39982350$
$4.540262683$
2.690491294
\( -\frac{1224298528787}{23} a + \frac{5983743984822}{23} \)
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 8 a - 44\) , \( 73 a - 367\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(8a-44\right){x}+73a-367$
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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.