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
72900.2-a1	72900.2-a	$2$	$3$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	72900.2	\( 2^{2} \cdot 3^{6} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{22} \cdot 5^{6} \)	$2.93664$	$(a+1), (-a-2), (2a+1), (3)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$3$	3B.1.2	$1$	\( 1 \)	$3.716854919$	$0.425883928$	3.165897549	\( -\frac{5267712}{125} \)	\( \bigl[0\) , \( 0\) , \( 0\) , \( -513\) , \( 4563\bigr] \)	${y}^2={x}^{3}-513{x}+4563$

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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.