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
196.1-a6 196.1-a $6$
$18$
\(\Q(\sqrt{-51}) \) $2$
$[0, 1]$
196.1
\( 2^{2} \cdot 7^{2} \)
\( 2^{18} \cdot 7^{4} \)
$2.38774$
$(2), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3Cs.1.1 $4$
\( 2 \cdot 3^{2} \)
$0.610625991$
$0.437708567$
2.694683371
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \) ${y}^2+{x}{y}+{y}={x}^3-2731{x}-55146$
98.1-d6 98.1-d $6$
$18$
\(\Q(\sqrt{-102}) \) $2$
$[0, 1]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{30} \cdot 7^{4} \)
$5.67904$
$(2,a), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3Cs $36$
\( 2^{2} \cdot 3^{2} \)
$0.610625991$
$0.437708567$
17.14885996
\( \frac{2251439055699625}{25088} \)
\( \bigl[a\) , \( -1\) , \( a\) , \( -10637\) , \( -343531\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^3-{x}^2-10637{x}-343531$
14.1-e6 14.1-e $6$
$18$
\(\Q(\sqrt{-357}) \) $2$
$[0, 1]$
14.1
\( 2 \cdot 7 \)
\( 2^{18} \cdot 7^{16} \)
$6.53183$
$(2,a+1), (7,a)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3Cs $4$
\( 2^{2} \cdot 3^{2} \)
$4.283183709$
$0.875417135$
14.28828596
\( \frac{2251439055699625}{25088} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -131021\) , \( -14926493\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^3+{x}^2-131021{x}-14926493$
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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.
