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-a1	16.1-a	$1$	$1$	4.4.12725.1	$4$	$[4, 0]$	16.1	\( 2^{4} \)	\( 2^{8} \)	$14.25550$	$(2)$	$2$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$			✓				$1$	\( 2 \)	$0.006115786$	$2223.964918$	3.858347183	\( -\frac{6297835481}{4} a^{2} + \frac{6297835481}{4} a + \frac{27631544681}{4} \)	\( \bigl[a + 1\) , \( -a^{3} + a^{2} + 5 a\) , \( a^{2} - a - 6\) , \( -273 a^{3} + 984 a^{2} + 1094 a - 4719\) , \( 5413 a^{3} - 19757 a^{2} - 21474 a + 94946\bigr] \)	${y}^2+\left(a+1\right){x}{y}+\left(a^{2}-a-6\right){y}={x}^{3}+\left(-a^{3}+a^{2}+5a\right){x}^{2}+\left(-273a^{3}+984a^{2}+1094a-4719\right){x}+5413a^{3}-19757a^{2}-21474a+94946$

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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.