Elliptic curve search results

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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
16.1-b2	16.1-b	$2$	$3$	4.4.17725.1	$4$	$[4, 0]$	16.1	\( 2^{4} \)	\( 2^{4} \)	$16.82467$	$(2)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$3$	3B	$1$	\( 1 \)	$0.074226190$	$1603.715366$	3.576443180	\( \frac{13157909}{2} a^{3} + 8591409 a^{2} - \frac{101195049}{2} a - \frac{163362181}{2} \)	\( \bigl[1\) , \( -a^{2} + a + 8\) , \( a + 1\) , \( -3 a^{2} + a + 19\) , \( a^{3} - a^{2} - 7 a + 1\bigr] \)	${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a^{2}+a+8\right){x}^{2}+\left(-3a^{2}+a+19\right){x}+a^{3}-a^{2}-7a+1$

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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.