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
46656.4-f1	46656.4-f	$1$	$1$	\(\Q(\sqrt{-11}) \)	$2$	$[0, 1]$	46656.4	\( 2^{6} \cdot 3^{6} \)	\( 2^{20} \cdot 3^{8} \)	$4.35574$	$(-a), (a-1), (2)$	$2$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$				✓			$1$	\( 2 \cdot 3 \)	$0.279698555$	$1.959341088$	7.931314363	\( 1716 a - 4344 \)	\( \bigl[0\) , \( 0\) , \( 0\) , \( -9 a + 6\) , \( 8 a - 26\bigr] \)	${y}^2={x}^{3}+\left(-9a+6\right){x}+8a-26$
46656.4-i1	46656.4-i	$1$	$1$	\(\Q(\sqrt{-11}) \)	$2$	$[0, 1]$	46656.4	\( 2^{6} \cdot 3^{6} \)	\( 2^{20} \cdot 3^{20} \)	$4.35574$	$(-a), (a-1), (2)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$				✓			$4$	\( 2 \)	$1$	$0.653113696$	3.150739018	\( 1716 a - 4344 \)	\( \bigl[0\) , \( 0\) , \( 0\) , \( -81 a + 54\) , \( -216 a + 702\bigr] \)	${y}^2={x}^{3}+\left(-81a+54\right){x}-216a+702$

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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.