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
59.1-a1	59.1-a	$1$	$1$	4.4.12725.1	$4$	$[4, 0]$	59.1	\( 59 \)	\( 59^{2} \)	$16.78124$	$(-2a^2+3a+12)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$			✓				$1$	\( 2 \)	$0.077131006$	$831.3314901$	4.547412191	\( -\frac{517531336}{3481} a^{3} - \frac{578018861}{3481} a^{2} + \frac{3430332701}{3481} a + \frac{4917997502}{3481} \)	\( \bigl[a^{2} - 6\) , \( -a^{3} + 6 a + 5\) , \( 0\) , \( -a^{2} + 9 a - 15\) , \( 7 a^{3} - 32 a^{2} + 6 a + 79\bigr] \)	${y}^2+\left(a^{2}-6\right){x}{y}={x}^{3}+\left(-a^{3}+6a+5\right){x}^{2}+\left(-a^{2}+9a-15\right){x}+7a^{3}-32a^{2}+6a+79$

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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.