Elliptic curve search results

Results (unique match)

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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
27075.2-c2	27075.2-c	$2$	$2$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	27075.2	\( 3 \cdot 5^{2} \cdot 19^{2} \)	\( 3^{20} \cdot 5^{4} \cdot 19^{2} \)	$1.98537$	$(-2a+1), (-5a+3), (-5a+2), (5)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2B	$1$	\( 2^{3} \cdot 5 \)	$0.134827177$	$0.788766240$	2.455981678	\( \frac{48587168449}{28048275} \)	\( \bigl[a\) , \( 0\) , \( 0\) , \( 76 a\) , \( -19\bigr] \)	${y}^2+a{x}{y}={x}^{3}+76a{x}-19$

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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.