Elliptic curve search results

Results (8 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
34760.n1	34760o2	34760.n	34760o	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 5 \cdot 11 \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$34760$	$12$	$0$	$1$	$4$	$2$	$1$	$28160$	$0.649442$	$674597763362/343255$	$0.82210$	$3.33409$	$[0, -1, 0, -2320, -42228]$	\(y^2=x^3-x^2-2320x-42228\)	2.3.0.a.1, 316.6.0.?, 440.6.0.?, 34760.12.0.?	$[ ]$
69520.l1	69520n2	69520.l	69520n	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 5 \cdot 11 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$34760$	$12$	$0$	$1.511074636$	$1$		$7$	$56320$	$0.649442$	$674597763362/343255$	$0.82210$	$3.12681$	$[0, 1, 0, -2320, 42228]$	\(y^2=x^3+x^2-2320x+42228\)	2.3.0.a.1, 316.6.0.?, 440.6.0.?, 34760.12.0.?	$[(28, 2)]$
173800.i1	173800r2	173800.i	173800r	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 5^{7} \cdot 11 \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$34760$	$12$	$0$	$1$	$4$	$2$	$1$	$675840$	$1.454161$	$674597763362/343255$	$0.82210$	$3.68970$	$[0, 1, 0, -58008, -5394512]$	\(y^2=x^3+x^2-58008x-5394512\)	2.3.0.a.1, 316.6.0.?, 440.6.0.?, 34760.12.0.?	$[ ]$
278080.i1	278080i2	278080.i	278080i	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{17} \cdot 5 \cdot 11 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$34760$	$12$	$0$	$5.135502280$	$1$		$3$	$450560$	$0.996016$	$674597763362/343255$	$0.82210$	$3.11279$	$[0, 1, 0, -9281, -347105]$	\(y^2=x^3+x^2-9281x-347105\)	2.3.0.a.1, 316.6.0.?, 440.6.0.?, 34760.12.0.?	$[(114, 299)]$
278080.cm1	278080cm2	278080.cm	278080cm	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{17} \cdot 5 \cdot 11 \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$34760$	$12$	$0$	$1$	$4$	$2$	$1$	$450560$	$0.996016$	$674597763362/343255$	$0.82210$	$3.11279$	$[0, -1, 0, -9281, 347105]$	\(y^2=x^3-x^2-9281x+347105\)	2.3.0.a.1, 316.6.0.?, 440.6.0.?, 34760.12.0.?	$[ ]$
312840.e1	312840e2	312840.e	312840e	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 79^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$34760$	$12$	$0$	$13.30272578$	$1$		$5$	$675840$	$1.198748$	$674597763362/343255$	$0.82210$	$3.27608$	$[0, 0, 0, -20883, 1161038]$	\(y^2=x^3-20883x+1161038\)	2.3.0.a.1, 316.6.0.?, 440.6.0.?, 34760.12.0.?	$[(86, 34), (98, 236)]$
347600.ca1	347600ca2	347600.ca	347600ca	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 79 \)	\( 2^{11} \cdot 5^{7} \cdot 11 \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$34760$	$12$	$0$	$1$	$4$	$2$	$1$	$1351680$	$1.454161$	$674597763362/343255$	$0.82210$	$3.48925$	$[0, -1, 0, -58008, 5394512]$	\(y^2=x^3-x^2-58008x+5394512\)	2.3.0.a.1, 316.6.0.?, 440.6.0.?, 34760.12.0.?	$[ ]$
382360.v1	382360v2	382360.v	382360v	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \cdot 79 \)	\( 2^{11} \cdot 5 \cdot 11^{7} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$34760$	$12$	$0$	$18.30842435$	$1$		$1$	$3379200$	$1.848389$	$674597763362/343255$	$0.82210$	$3.83141$	$[0, -1, 0, -280760, 57328460]$	\(y^2=x^3-x^2-280760x+57328460\)	2.3.0.a.1, 316.6.0.?, 440.6.0.?, 34760.12.0.?	$[(1253675173/1482, 29604492052091/1482)]$

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