Elliptic curves over \(\Q(\sqrt{-2}) \) of conductor 10952.1

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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
10952.1-a1	10952.1-a	$1$	$1$	\(\Q(\sqrt{-2}) \)	$2$	$[0, 1]$	10952.1	\( 2^{3} \cdot 37^{2} \)	\( 2^{4} \cdot 37^{2} \)	$2.58557$	$(a), (37)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓					$1$	\( 2 \)	$0.167921841$	$4.077493463$	1.936624649	\( \frac{16000000}{37} \)	\( \bigl[0\) , \( -1\) , \( a\) , \( -8\) , \( -6\bigr] \)	${y}^2+a{y}={x}^{3}-{x}^{2}-8{x}-6$
10952.1-b1	10952.1-b	$1$	$1$	\(\Q(\sqrt{-2}) \)	$2$	$[0, 1]$	10952.1	\( 2^{3} \cdot 37^{2} \)	\( 2^{4} \cdot 37^{2} \)	$2.58557$	$(a), (37)$	$2$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓					$1$	\( 2 \)	$0.128350348$	$5.460971912$	3.964988977	\( \frac{351232}{37} \)	\( \bigl[0\) , \( -1\) , \( a\) , \( -2\) , \( 0\bigr] \)	${y}^2+a{y}={x}^{3}-{x}^{2}-2{x}$

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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.