Elliptic curve search results

Results (4 matches)

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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
26.1-a1	26.1-a	$2$	$7$	\(\Q(\sqrt{-182}) \)	$2$	$[0, 1]$	26.1	\( 2 \cdot 13 \)	\( 2^{2} \cdot 13^{26} \)	$5.44437$	$(2,a), (13,a)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$7$	7B.6.1	$1$	\( 2^{2} \)	$1.383448027$	$1.120257005$	0.459520419	\( -\frac{1064019559329}{125497034} \)	\( \bigl[1\) , \( -1\) , \( 0\) , \( -35944\) , \( -2868878\bigr] \)	${y}^2+{x}{y}={x}^3-{x}^2-35944{x}-2868878$
26.1-d1	26.1-d	$2$	$7$	\(\Q(\sqrt{-182}) \)	$2$	$[0, 1]$	26.1	\( 2 \cdot 13 \)	\( 2^{14} \cdot 13^{14} \)	$5.44437$	$(2,a), (13,a)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$7$	7B.6.1	$9$	\( 2^{2} \cdot 7 \)	$1$	$1.120257005$	10.46291072	\( -\frac{1064019559329}{125497034} \)	\( \bigl[a\) , \( -1\) , \( a\) , \( -39\) , \( -971\bigr] \)	${y}^2+a{x}{y}+a{y}={x}^3-{x}^2-39{x}-971$
26.1-e1	26.1-e	$2$	$7$	\(\Q(\sqrt{-182}) \)	$2$	$[0, 1]$	26.1	\( 2 \cdot 13 \)	\( 2^{2} \cdot 13^{14} \)	$5.44437$	$(2,a), (13,a)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$7$	7B.1.1	$4$	\( 2^{2} \)	$1$	$1.120257005$	0.664311791	\( -\frac{1064019559329}{125497034} \)	\( \bigl[1\) , \( -1\) , \( 1\) , \( -213\) , \( -1257\bigr] \)	${y}^2+{x}{y}+{y}={x}^3-{x}^2-213{x}-1257$
26.1-h1	26.1-h	$2$	$7$	\(\Q(\sqrt{-182}) \)	$2$	$[0, 1]$	26.1	\( 2 \cdot 13 \)	\( 2^{2} \cdot 7^{12} \cdot 13^{14} \)	$5.44437$	$(2,a), (13,a)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$7$	7B.1.6	$1$	\( 2^{2} \cdot 7 \)	$14.35077864$	$1.120257005$	33.36687018	\( -\frac{1064019559329}{125497034} \)	\( \bigl[1\) , \( -1\) , \( 1\) , \( -10422\) , \( 451903\bigr] \)	${y}^2+{x}{y}+{y}={x}^3-{x}^2-10422{x}+451903$

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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.