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
196.1-c1	196.1-c	$2$	$2$	\(\Q(\sqrt{17}) \)	$2$	$[2, 0]$	196.1	\( 2^{2} \cdot 7^{2} \)	\( 2^{3} \cdot 7^{4} \)	$1.37856$	$(-a+2), (-a-1), (7)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2^{2} \)	$1$	$6.402652160$	1.552871243	\( \frac{943}{28} a - \frac{17259}{196} \)	\( \bigl[1\) , \( -a\) , \( 0\) , \( 1\) , \( -2 a - 3\bigr] \)	${y}^2+{x}{y}={x}^{3}-a{x}^{2}+{x}-2a-3$

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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.