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
294.1-a5 294.1-a $6$
$8$
\(\Q(\sqrt{3}) \) $2$
$[2, 0]$
294.1
\( 2 \cdot 3 \cdot 7^{2} \)
\( 2^{8} \cdot 3^{8} \cdot 7^{4} \)
$1.28179$
$(a+1), (a), (7)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $1$
\( 2^{5} \)
$1$
$2.486887276$
1.435805038
\( \frac{65597103937}{63504} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( -83\) , \( -345\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-83{x}-345$
294.1-f5 294.1-f $6$
$8$
\(\Q(\sqrt{3}) \) $2$
$[2, 0]$
294.1
\( 2 \cdot 3 \cdot 7^{2} \)
\( 2^{8} \cdot 3^{8} \cdot 7^{4} \)
$1.28179$
$(a+1), (a), (7)$
0
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $1$
\( 2^{5} \)
$1$
$12.07873502$
1.743415230
\( \frac{65597103937}{63504} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -84\) , \( 261\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-84{x}+261$
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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.
