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
300.5-a6 300.5-a $8$
$12$
\(\Q(\sqrt{-39}) \) $2$
$[0, 1]$
300.5
\( 2^{2} \cdot 3 \cdot 5^{2} \)
\( 2^{12} \cdot 3^{4} \cdot 5^{12} \)
$2.32248$
$(2,a), (2,a+1), (3,a+1), (5,a), (5,a+4)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{6} \)
$1$
$0.647145070$
0.829009162
\( \frac{4102915888729}{9000000} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -334\) , \( -2368\bigr] \) ${y}^2+{x}{y}+{y}={x}^3-334{x}-2368$
60.1-b6 60.1-b $8$
$12$
\(\Q(\sqrt{-195}) \) $2$
$[0, 1]$
60.1
\( 2^{2} \cdot 3 \cdot 5 \)
\( 2^{12} \cdot 3^{4} \cdot 5^{24} \)
$3.47291$
$(3,a+1), (5,a+2), (2)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B $16$
\( 2^{3} \cdot 3 \)
$1$
$0.647145070$
2.224465009
\( \frac{4102915888729}{9000000} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -8338\) , \( -295969\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-8338{x}-295969$
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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.
