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
63075.1-c2	63075.1-c	$4$	$4$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	63075.1	\( 3 \cdot 5^{2} \cdot 29^{2} \)	\( 3^{16} \cdot 5^{2} \cdot 29^{2} \)	$2.45281$	$(-2a+1), (5), (29)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2B	$1$	\( 2^{4} \)	$1$	$1.347236552$	1.555654772	\( \frac{2992209121}{951345} \)	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -30 a + 30\) , \( -45\bigr] \)	${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-30a+30\right){x}-45$

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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.