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
968.1-a1	968.1-a	$1$	$1$	\(\Q(\sqrt{2}) \)	$2$	$[2, 0]$	968.1	\( 2^{3} \cdot 11^{2} \)	\( 2^{4} \cdot 11^{2} \)	$1.40978$	$(a), (11)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓					$1$	\( 2 \)	$0.040264364$	$36.16801486$	2.059493935	\( -\frac{27648}{11} \)	\( \bigl[0\) , \( 0\) , \( a\) , \( -1\) , \( 0\bigr] \)	${y}^2+a{y}={x}^{3}-{x}$
1936.1-a1	1936.1-a	$1$	$1$	\(\Q(\sqrt{2}) \)	$2$	$[2, 0]$	1936.1	\( 2^{4} \cdot 11^{2} \)	\( 2^{4} \cdot 11^{2} \)	$1.67652$	$(a), (11)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓					$1$	\( 1 \)	$1$	$5.480854942$	1.937774848	\( -\frac{27648}{11} \)	\( \bigl[0\) , \( 0\) , \( a\) , \( -1\) , \( -1\bigr] \)	${y}^2+a{y}={x}^{3}-{x}-1$

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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.