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
484.1-b1 484.1-b $2$
$3$
\(\Q(\sqrt{-5}) \) $2$
$[0, 1]$
484.1
\( 2^{2} \cdot 11^{2} \)
\( 2^{16} \cdot 11^{6} \)
$1.87441$
$(2,a+1), (11)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B.1.1 $1$
\( 3 \)
$0.546704862$
$2.457445862$
3.604982358
\( -\frac{199794688}{1331} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) ${y}^2={x}^3+{x}^2-77{x}-289$
44.1-h1 44.1-h $2$
$3$
\(\Q(\sqrt{-165}) \) $2$
$[0, 1]$
44.1
\( 2^{2} \cdot 11 \)
\( 2^{4} \cdot 11^{6} \cdot 19^{12} \)
$5.91253$
$(2,a+1), (11,a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B $9$
\( 2 \cdot 3 \)
$0.546704862$
$4.914891725$
11.29584381
\( -\frac{199794688}{1331} \)
\( \bigl[0\) , \( a + 1\) , \( a + 1\) , \( 542 a - 654\) , \( 13894 a + 107800\bigr] \) ${y}^2+\left(a+1\right){y}={x}^3+\left(a+1\right){x}^2+\left(542a-654\right){x}+13894a+107800$
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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.
