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
847.1-a2	847.1-a	$2$	$2$	\(\Q(\sqrt{21}) \)	$2$	$[2, 0]$	847.1	\( 7 \cdot 11^{2} \)	\( 7^{12} \cdot 11^{2} \)	$2.20912$	$(a+3), (11)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2B	$1$	\( 2 \)	$2.960603622$	$3.210187340$	2.073962963	\( \frac{15124197817}{1294139} \)	\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 260 a - 717\) , \( 3155 a - 8805\bigr] \)	${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(260a-717\right){x}+3155a-8805$
847.1-e2	847.1-e	$2$	$2$	\(\Q(\sqrt{21}) \)	$2$	$[2, 0]$	847.1	\( 7 \cdot 11^{2} \)	\( 7^{12} \cdot 11^{2} \)	$2.20912$	$(a+3), (11)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2B	$1$	\( 2 \)	$1.667693830$	$7.031061357$	2.558748273	\( \frac{15124197817}{1294139} \)	\( \bigl[1\) , \( 1\) , \( 0\) , \( -51\) , \( 110\bigr] \)	${y}^2+{x}{y}={x}^{3}+{x}^{2}-51{x}+110$

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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.