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	$2$	$2$	4.4.16609.1	$4$	$[4, 0]$	16.1	\( 2^{4} \)	\( 2^{11} \)	$16.28641$	$(-a^2-a+2), (a^3-a^2-4a+1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2 \)	$0.404166688$	$365.9392600$	2.295238257	\( -\frac{4775263}{32} a^{3} - \frac{5837741}{32} a^{2} + \frac{13462297}{16} a + \frac{37168965}{32} \)	\( \bigl[1\) , \( a^{3} - a^{2} - 4 a + 2\) , \( a^{2} + a - 3\) , \( -5 a^{3} + 9 a^{2} + 25 a - 32\) , \( -17 a^{3} + 14 a^{2} + 72 a - 77\bigr] \)	${y}^2+{x}{y}+\left(a^{2}+a-3\right){y}={x}^{3}+\left(a^{3}-a^{2}-4a+2\right){x}^{2}+\left(-5a^{3}+9a^{2}+25a-32\right){x}-17a^{3}+14a^{2}+72a-77$

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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.