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
1548.1-b1	1548.1-b	$2$	$2$	\(\Q(\sqrt{-43}) \)	$2$	$[0, 1]$	1548.1	\( 2^{2} \cdot 3^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{4} \cdot 43^{4} \)	$3.67549$	$(-2a+1), (2), (3)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2B	$1$	\( 2^{3} \)	$1$	$2.425033706$	1.479256693	\( \frac{56181887}{33282} \)	\( \bigl[1\) , \( 0\) , \( 0\) , \( 8\) , \( 2\bigr] \)	${y}^2+{x}{y}={x}^3+8{x}+2$
13932.1-h1	13932.1-h	$2$	$2$	\(\Q(\sqrt{-43}) \)	$2$	$[0, 1]$	13932.1	\( 2^{2} \cdot 3^{4} \cdot 43 \)	\( 2^{2} \cdot 3^{16} \cdot 43^{4} \)	$6.36614$	$(-2a+1), (2), (3)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$9$	\( 2^{4} \)	$0.636208103$	$0.808344568$	11.29338113	\( \frac{56181887}{33282} \)	\( \bigl[1\) , \( -1\) , \( 0\) , \( 72\) , \( -54\bigr] \)	${y}^2+{x}{y}={x}^3-{x}^2+72{x}-54$

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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.