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
1186.2-a2	1186.2-a	$2$	$2$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	1186.2	\( 2 \cdot 593 \)	\( 2^{8} \cdot 593 \)	$1.04879$	$(a+1), (8a-23)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2^{3} \)	$0.078539492$	$5.102507653$	1.602993443	\( -\frac{199525}{593} a + \frac{10019039}{9488} \)	\( \bigl[i\) , \( 0\) , \( i + 1\) , \( -2 i + 1\) , \( -i\bigr] \)	${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-2i+1\right){x}-i$
96066.2-a2	96066.2-a	$2$	$2$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	96066.2	\( 2 \cdot 3^{4} \cdot 593 \)	\( 2^{8} \cdot 3^{12} \cdot 593 \)	$3.14638$	$(a+1), (8a-23), (3)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	\( 2^{2} \)	$1.458431269$	$1.700835884$	4.961104476	\( -\frac{199525}{593} a + \frac{10019039}{9488} \)	\( \bigl[1\) , \( -1\) , \( i + 1\) , \( -14 i + 4\) , \( -14 i\bigr] \)	${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(-14i+4\right){x}-14i$

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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.