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
4356.5-b3 4356.5-b $4$
$6$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
4356.5
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \)
\( 2^{44} \cdot 3^{2} \cdot 11^{4} \)
$1.92070$
$(a), (-a+1), (-2a+3), (2a+1), (3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.2 $9$
\( 2^{2} \)
$1$
$0.348686225$
2.372238099
\( \frac{105273133194758264123}{17561399718838272} a + \frac{342157997809516499975}{17561399718838272} \)
\( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -424 a + 614\) , \( -1060 a - 6260\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-424a+614\right){x}-1060a-6260$
39204.5-h3 39204.5-h $4$
$6$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
39204.5
\( 2^{2} \cdot 3^{4} \cdot 11^{2} \)
\( 2^{44} \cdot 3^{14} \cdot 11^{4} \)
$3.32675$
$(a), (-a+1), (-2a+3), (2a+1), (3)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2, 3$
2B , 3B.1.1 $1$
\( 2^{4} \cdot 3^{2} \cdot 7 \)
$1.233227815$
$0.116228741$
6.067724466
\( \frac{105273133194758264123}{17561399718838272} a + \frac{342157997809516499975}{17561399718838272} \)
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -3812 a + 5527\) , \( 23092 a + 166921\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-3812a+5527\right){x}+23092a+166921$
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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.
