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
83232.1-c1	83232.1-c	$2$	$2$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	83232.1	$2^{5} \cdot 3^{2} \cdot 17^{2}$	$2^{9} \cdot 3^{4} \cdot 17^{9}$	$3.03558$	$(a+1), (a+4), (3)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	$2^{2}$	$4.658777889$	$0.490394936$	4.569282174	$\frac{1949750}{9} a - 15622$	$\bigl[i + 1$ , $-i - 1$ , $0$ , $14 i - 516$ , $-80 i + 4690\bigr]$	${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(14i-516\right){x}-80i+4690$
83232.1-e1	83232.1-e	$2$	$2$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	83232.1	$2^{5} \cdot 3^{2} \cdot 17^{2}$	$2^{9} \cdot 3^{4} \cdot 17^{3}$	$3.03558$	$(a+1), (a+4), (3)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	$2^{2}$	$1.526954636$	$2.021950121$	6.174852224	$\frac{1949750}{9} a - 15622$	$\bigl[i + 1$ , $i + 1$ , $i + 1$ , $-15 i + 26$ , $54 i + 61\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-15i+26\right){x}+54i+61$

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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.