Elliptic curve search results

Results (15 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
9768.d1	9768d2	9768.d	9768d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3 \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.323836277$	$1$		$5$	$2560$	$0.156117$	$2885794000/45177$	$0.80454$	$2.97471$	$[0, -1, 0, -188, 1044]$	\(y^2=x^3-x^2-188x+1044\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(10, 8)]$
19536.y1	19536h2	19536.y	19536h	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3 \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$5.360362409$	$1$		$1$	$5120$	$0.156117$	$2885794000/45177$	$0.80454$	$2.76601$	$[0, 1, 0, -188, -1044]$	\(y^2=x^3+x^2-188x-1044\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(-275/6, 469/6)]$
29304.j1	29304h2	29304.j	29304h	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{7} \cdot 11 \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.257870320$	$1$		$19$	$20480$	$0.705423$	$2885794000/45177$	$0.80454$	$3.29785$	$[0, 0, 0, -1695, -26494]$	\(y^2=x^3-1695x-26494\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(-23, 18), (49, 90)]$
58608.bc1	58608l2	58608.bc	58608l	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{7} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$40960$	$0.705423$	$2885794000/45177$	$0.80454$	$3.08963$	$[0, 0, 0, -1695, 26494]$	\(y^2=x^3-1695x+26494\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[ ]$
78144.bd1	78144cb2	78144.bd	78144cb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3 \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.859994268$	$1$		$3$	$40960$	$0.502691$	$2885794000/45177$	$0.80454$	$2.79480$	$[0, -1, 0, -753, -7599]$	\(y^2=x^3-x^2-753x-7599\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(32, 7)]$
78144.ch1	78144v2	78144.ch	78144v	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3 \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$40960$	$0.502691$	$2885794000/45177$	$0.80454$	$2.79480$	$[0, 1, 0, -753, 7599]$	\(y^2=x^3+x^2-753x+7599\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[ ]$
107448.h1	107448m2	107448.h	107448m	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3 \cdot 11^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$307200$	$1.355064$	$2885794000/45177$	$0.80454$	$3.60090$	$[0, -1, 0, -22788, -1298460]$	\(y^2=x^3-x^2-22788x-1298460\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[ ]$
214896.bz1	214896bx2	214896.bz	214896bx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3 \cdot 11^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$614400$	$1.355064$	$2885794000/45177$	$0.80454$	$3.39762$	$[0, 1, 0, -22788, 1298460]$	\(y^2=x^3+x^2-22788x+1298460\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[ ]$
234432.bu1	234432bu2	234432.bu	234432bu	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{7} \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.467000336$	$1$		$5$	$327680$	$1.051996$	$2885794000/45177$	$0.80454$	$3.07958$	$[0, 0, 0, -6780, -211952]$	\(y^2=x^3-6780x-211952\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(-43, 9)]$
234432.cx1	234432cx2	234432.cx	234432cx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{7} \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.340235076$	$1$		$5$	$327680$	$1.051996$	$2885794000/45177$	$0.80454$	$3.07958$	$[0, 0, 0, -6780, 211952]$	\(y^2=x^3-6780x+211952\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(34, 144)]$
244200.cg1	244200cg2	244200.cg	244200cg	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$368640$	$0.960836$	$2885794000/45177$	$0.80454$	$2.98127$	$[0, 1, 0, -4708, 121088]$	\(y^2=x^3+x^2-4708x+121088\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[ ]$
322344.x1	322344x2	322344.x	322344x	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{7} \cdot 11^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$2457600$	$1.904371$	$2885794000/45177$	$0.80454$	$3.80871$	$[0, 0, 0, -205095, 35263514]$	\(y^2=x^3-205095x+35263514\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[ ]$
361416.m1	361416m2	361416.m	361416m	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37^{2} \)	\( 2^{8} \cdot 3 \cdot 11 \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.784650056$	$1$		$1$	$3502080$	$1.961576$	$2885794000/45177$	$0.80454$	$3.82830$	$[0, -1, 0, -257828, 49789668]$	\(y^2=x^3-x^2-257828x+49789668\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(3814/3, 109520/3)]$
478632.cc1	478632cc2	478632.cc	478632cc	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.031224129$	$4$	$2$	$3$	$737280$	$1.129072$	$2885794000/45177$	$0.80454$	$2.98223$	$[0, 1, 0, -9228, -339648]$	\(y^2=x^3+x^2-9228x-339648\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(-52, 48)]$
488400.i1	488400i2	488400.i	488400i	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$4.791865699$	$1$		$1$	$737280$	$0.960836$	$2885794000/45177$	$0.80454$	$2.82351$	$[0, -1, 0, -4708, -121088]$	\(y^2=x^3-x^2-4708x-121088\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(-163/2, 303/2)]$

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