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
1369.1-b3	1369.1-b	$3$	$9$	\(\Q(\sqrt{-2}) \)	$2$	$[0, 1]$	1369.1	\( 37^{2} \)	\( 37^{2} \)	$1.53739$	$(37)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$3$	3B.1.2	$4$	\( 1 \)	$1$	$0.641360794$	1.814042266	\( \frac{727057727488000}{37} \)	\( \bigl[0\) , \( 1\) , \( 1\) , \( -1873\) , \( -31833\bigr] \)	${y}^2+{y}={x}^{3}+{x}^{2}-1873{x}-31833$
21904.1-a3	21904.1-a	$3$	$9$	\(\Q(\sqrt{-2}) \)	$2$	$[0, 1]$	21904.1	\( 2^{4} \cdot 37^{2} \)	\( 2^{12} \cdot 37^{2} \)	$3.07478$	$(a), (37)$	$2$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3$	3B	$1$	\( 1 \)	$5.143972774$	$0.320680397$	4.665692016	\( \frac{727057727488000}{37} \)	\( \bigl[0\) , \( -1\) , \( 0\) , \( -7493\) , \( -247169\bigr] \)	${y}^2={x}^{3}-{x}^{2}-7493{x}-247169$

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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.