Elliptic curve search results

Results (12 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
37920.c1	37920c2	37920.c	37920c	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 79 \)	\( 2^{9} \cdot 3^{4} \cdot 5^{3} \cdot 79^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$4.079886308$	$1$		$11$	$24576$	$0.729928$	$284630612552/63190125$	$0.87472$	$3.09324$	$[0, -1, 0, -1096, -10604]$	\(y^2=x^3-x^2-1096x-10604\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[(-20, 54), (-12, 26)]$
37920.o1	37920e2	37920.o	37920e	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 79 \)	\( 2^{9} \cdot 3^{4} \cdot 5^{3} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$1$	$1$		$1$	$24576$	$0.729928$	$284630612552/63190125$	$0.87472$	$3.09324$	$[0, 1, 0, -1096, 10604]$	\(y^2=x^3+x^2-1096x+10604\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[ ]$
75840.bd1	75840bt2	75840.bd	75840bt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{3} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$1.360713056$	$1$		$5$	$98304$	$1.076502$	$284630612552/63190125$	$0.87472$	$3.27255$	$[0, -1, 0, -4385, 89217]$	\(y^2=x^3-x^2-4385x+89217\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[(59, 180)]$
75840.cg1	75840cr2	75840.cg	75840cr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{3} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$0.549160611$	$1$		$7$	$98304$	$1.076502$	$284630612552/63190125$	$0.87472$	$3.27255$	$[0, 1, 0, -4385, -89217]$	\(y^2=x^3+x^2-4385x-89217\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[(-29, 120)]$
113760.v1	113760bo2	113760.v	113760bo	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{9} \cdot 3^{10} \cdot 5^{3} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$0.914914626$	$1$		$7$	$196608$	$1.279234$	$284630612552/63190125$	$0.87472$	$3.36755$	$[0, 0, 0, -9867, 296174]$	\(y^2=x^3-9867x+296174\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[(-47, 810)]$
113760.bj1	113760bi2	113760.bj	113760bi	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{9} \cdot 3^{10} \cdot 5^{3} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$1$	$1$		$1$	$196608$	$1.279234$	$284630612552/63190125$	$0.87472$	$3.36755$	$[0, 0, 0, -9867, -296174]$	\(y^2=x^3-9867x-296174\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[ ]$
189600.h1	189600r2	189600.h	189600r	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( 2^{9} \cdot 3^{4} \cdot 5^{9} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$1$	$1$		$1$	$589824$	$1.534647$	$284630612552/63190125$	$0.87472$	$3.47820$	$[0, -1, 0, -27408, 1380312]$	\(y^2=x^3-x^2-27408x+1380312\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[ ]$
189600.bw1	189600k2	189600.bw	189600k	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( 2^{9} \cdot 3^{4} \cdot 5^{9} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$1$	$1$		$1$	$589824$	$1.534647$	$284630612552/63190125$	$0.87472$	$3.47820$	$[0, 1, 0, -27408, -1380312]$	\(y^2=x^3+x^2-27408x-1380312\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[ ]$
227520.t1	227520bj2	227520.t	227520bj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{15} \cdot 3^{10} \cdot 5^{3} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$1$	$1$		$1$	$786432$	$1.625807$	$284630612552/63190125$	$0.87472$	$3.51547$	$[0, 0, 0, -39468, 2369392]$	\(y^2=x^3-39468x+2369392\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[ ]$
227520.ca1	227520bq2	227520.ca	227520bq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{15} \cdot 3^{10} \cdot 5^{3} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$3.155932886$	$1$		$3$	$786432$	$1.625807$	$284630612552/63190125$	$0.87472$	$3.51547$	$[0, 0, 0, -39468, -2369392]$	\(y^2=x^3-39468x-2369392\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[(226, 504)]$
379200.dk1	379200dk2	379200.dk	379200dk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{9} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$7.617636284$	$1$		$1$	$2359296$	$1.881220$	$284630612552/63190125$	$0.87472$	$3.61427$	$[0, -1, 0, -109633, -10932863]$	\(y^2=x^3-x^2-109633x-10932863\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[(-11103/8, 862127/8)]$
379200.fp1	379200fp2	379200.fp	379200fp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{9} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3160$	$12$	$0$	$1.738401208$	$1$		$7$	$2359296$	$1.881220$	$284630612552/63190125$	$0.87472$	$3.61427$	$[0, 1, 0, -109633, 10932863]$	\(y^2=x^3+x^2-109633x+10932863\)	2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.?	$[(263, 600)]$

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