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
136900.2-c5	136900.2-c	$5$	$9$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	136900.2	\( 2^{2} \cdot 5^{2} \cdot 37^{2} \)	\( 2^{2} \cdot 5^{2} \cdot 37^{10} \)	$2.97715$	$(-7a+4), (-7a+3), (2), (5)$	$1$	$\Z/3\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓		✓		$3$	3B.1.1[2]	$1$	\( 3^{2} \)	$4.894564499$	$0.242974588$	2.746466306	\( -\frac{8322828619803842135369}{1299617397950770} a + \frac{58868918044451672649}{1299617397950770} \)	\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -519 a - 3132\) , \( 17740 a + 66742\bigr] \)	${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-519a-3132\right){x}+17740a+66742$

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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.