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
30276.5-g1	30276.5-g	$2$	$2$	\(\Q(\sqrt{-7}) \)	$2$	$[0, 1]$	30276.5	\( 2^{2} \cdot 3^{2} \cdot 29^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 29^{3} \)	$3.11862$	$(a), (-a+1), (-4a+1), (4a-3), (3)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2^{3} \)	$0.624323368$	$2.718479104$	5.131880761	\( \frac{243111127}{161472} a - \frac{483253887}{26912} \)	\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -6 a - 3\) , \( 15 a - 9\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-3\right){x}+15a-9$

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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.