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-b4 28.1-b $6$
$18$
\(\Q(\sqrt{161}) \) $2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{6} \cdot 7^{12} \)
$2.60820$
$(a+6), (-a+7), (-32a+219)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3Cs.1.1 $1$
\( 2^{2} \cdot 3 \)
$11.34518895$
$3.925715946$
2.340056850
\( \frac{4956477625}{941192} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -36\) , \( -70\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-36{x}-70$
28.1-e4 28.1-e $6$
$18$
\(\Q(\sqrt{161}) \) $2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{6} \cdot 7^{12} \)
$2.60820$
$(a+6), (-a+7), (-32a+219)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3Cs $1$
\( 2 \)
$2.790171969$
$7.027708105$
3.090734813
\( \frac{4956477625}{941192} \)
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( 1552572999 a - 10626257935\) , \( -68746620820639 a + 470521724873581\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1552572999a-10626257935\right){x}-68746620820639a+470521724873581$
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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.
