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
84.2-a1 84.2-a $1$
$1$
\(\Q(\sqrt{-951}) \) $2$
$[0, 1]$
84.2
\( 2^{2} \cdot 3 \cdot 7 \)
\( 2^{8} \cdot 3^{6} \cdot 5^{12} \cdot 7^{11} \)
$8.34255$
$(2,a), (3,a+1), (7,a+6)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $1$
\( 2 \cdot 3^{2} \)
$4.215559041$
$1.227945900$
6.042917320
\( -\frac{74411403460336}{5931980229} a + \frac{274976720382704}{7626831723} \)
\( \bigl[0\) , \( 1\) , \( a\) , \( -208 a - 7332\) , \( -10431 a - 227551\bigr] \) ${y}^2+a{y}={x}^3+{x}^2+\left(-208a-7332\right){x}-10431a-227551$
84.2-b1 84.2-b $1$
$1$
\(\Q(\sqrt{-951}) \) $2$
$[0, 1]$
84.2
\( 2^{2} \cdot 3 \cdot 7 \)
\( 2^{8} \cdot 3^{6} \cdot 7^{11} \cdot 73^{12} \)
$8.34255$
$(2,a), (3,a+1), (7,a+6)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $9$
\( 2 \)
$1$
$1.227945900$
0.716739732
\( -\frac{74411403460336}{5931980229} a + \frac{274976720382704}{7626831723} \)
\( \bigl[0\) , \( a\) , \( a\) , \( -106245 a + 597343\) , \( -17021270 a + 848229687\bigr] \) ${y}^2+a{y}={x}^3+a{x}^2+\left(-106245a+597343\right){x}-17021270a+848229687$
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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.
