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
33800.5-d2	33800.5-d	$4$	$4$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	33800.5	\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{10} \cdot 5^{5} \cdot 13^{5} \)	$2.42325$	$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$	$1$	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$2$	2B	$1$	\( 2^{5} \)	$1.000344974$	$1.100235896$	4.402461800	\( -\frac{27865918094}{17850625} a + \frac{947235941608}{17850625} \)	\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( 69 i - 40\) , \( -281 i - 14\bigr] \)	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(69i-40\right){x}-281i-14$

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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.