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
30258.2-b2	30258.2-b	$2$	$2$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	30258.2	\( 2 \cdot 3^{2} \cdot 41^{2} \)	\( 2^{28} \cdot 3^{24} \cdot 41^{2} \)	$2.35710$	$(a+1), (-5a-4), (4a+5), (3)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2B	$4$	\( 2^{3} \cdot 3 \)	$1$	$0.032427132$	0.778251182	\( \frac{10341755683137709164937}{356992303104} \)	\( \bigl[i\) , \( 0\) , \( i\) , \( -453896\) , \( 117739700\bigr] \)	${y}^2+i{x}{y}+i{y}={x}^{3}-453896{x}+117739700$

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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.