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
124.1-e1 124.1-e $2$
$3$
\(\Q(\sqrt{93}) \) $2$
$[2, 0]$
124.1
\( 2^{2} \cdot 31 \)
\( 2^{10} \cdot 31^{6} \)
$2.87565$
$(3a-17), (2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B $1$
\( 2 \)
$1$
$2.774006076$
0.575302060
\( -\frac{458314011}{953312} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( 49 a - 249\) , \( -799 a + 4259\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(49a-249\right){x}-799a+4259$
124.1-j1 124.1-j $2$
$3$
\(\Q(\sqrt{93}) \) $2$
$[2, 0]$
124.1
\( 2^{2} \cdot 31 \)
\( 2^{10} \cdot 31^{6} \)
$2.87565$
$(3a-17), (2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3$
3B $1$
\( 2 \)
$1$
$2.774006076$
0.575302060
\( -\frac{458314011}{953312} \)
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -49 a - 200\) , \( 799 a + 3460\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-49a-200\right){x}+799a+3460$
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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.
