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
28.1-a3
28.1-a
$6$
$18$
\(\Q(\sqrt{301}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{12} \cdot 7^{6} \)
$3.56625$
$(-23a+211), (2)$
$0 \le r \le 1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3Cs
\( 2^{2} \cdot 3 \)
$1$
$7.027708105$
11.13831196
\( \frac{9938375}{21952} \)
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -133562896 a + 1225396457\) , \( -4153968052764 a + 38111310112069\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-133562896a+1225396457\right){x}-4153968052764a+38111310112069$
28.1-b3
28.1-b
$6$
$18$
\(\Q(\sqrt{301}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{12} \cdot 7^{6} \)
$3.56625$
$(-23a+211), (2)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3Cs.1.1
$4$
\( 2^{2} \cdot 3^{2} \)
$1$
$3.925715946$
0.905098021
\( \frac{9938375}{21952} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 4\) , \( -6\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+4{x}-6$
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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.