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
400.8-a1	400.8-a	$4$	$6$	\(\Q(\sqrt{-119}) \)	$2$	$[0, 1]$	400.8	\( 2^{4} \cdot 5^{2} \)	\( 2^{16} \cdot 5^{12} \)	$4.35940$	$(2,a), (2,a+1), (5,a), (5,a+4)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2, 3$	2B, 3B.1.1	$1$	\( 2^{2} \)	$3.724661610$	$2.141031885$	1.462064300	\( -\frac{20720464}{15625} \)	\( \bigl[0\) , \( 1\) , \( 0\) , \( -36\) , \( -140\bigr] \)	${y}^2={x}^3+{x}^2-36{x}-140$
400.8-b1	400.8-b	$4$	$6$	\(\Q(\sqrt{-119}) \)	$2$	$[0, 1]$	400.8	\( 2^{4} \cdot 5^{2} \)	\( 2^{16} \cdot 5^{12} \cdot 7^{12} \)	$4.35940$	$(2,a), (2,a+1), (5,a), (5,a+4)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2, 3$	2B, 3B	$1$	\( 2^{2} \cdot 3^{2} \)	$3.982682848$	$2.141031885$	14.07012265	\( -\frac{20720464}{15625} \)	\( \bigl[0\) , \( -1\) , \( 0\) , \( -1780\) , \( 44472\bigr] \)	${y}^2={x}^3-{x}^2-1780{x}+44472$

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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.