Elliptic curve search results

Results (26 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
3192.f2	3192e1	3192.f	3192e	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.599668606$	$1$		$5$	$384$	$-0.120432$	$-562432000/53067$	$0.85277$	$2.85948$	$1$	$[0, -1, 0, -43, -104]$	\(y^2=x^3-x^2-43x-104\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(15, 49)]$	$1$
6384.y2	6384h1	6384.y	6384h	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$768$	$-0.120432$	$-562432000/53067$	$0.85277$	$2.63326$	$1$	$[0, 1, 0, -43, 104]$	\(y^2=x^3+x^2-43x+104\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
9576.q2	9576bb1	9576.q	9576bb	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$0.386262195$	$1$		$7$	$3072$	$0.428874$	$-562432000/53067$	$0.85277$	$3.23585$	$1$	$[0, 0, 0, -390, 3197]$	\(y^2=x^3-390x+3197\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(-2, 63)]$	$1$
19152.q2	19152n1	19152.q	19152n	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$6144$	$0.428874$	$-562432000/53067$	$0.85277$	$3.00838$	$1$	$[0, 0, 0, -390, -3197]$	\(y^2=x^3-390x-3197\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
22344.w2	22344r1	22344.w	22344r	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 7^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.420700856$	$1$		$3$	$18432$	$0.852524$	$-562432000/53067$	$0.85277$	$3.46972$	$1$	$[0, 1, 0, -2123, 39906]$	\(y^2=x^3+x^2-2123x+39906\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(9, 147)]$	$1$
25536.r2	25536bw1	25536.r	25536bw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$0.924662808$	$1$		$5$	$6144$	$0.226142$	$-562432000/53067$	$0.85277$	$2.68336$	$1$	$[0, -1, 0, -173, 1005]$	\(y^2=x^3-x^2-173x+1005\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(4, 19)]$	$1$
25536.cz2	25536bo1	25536.cz	25536bo	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$5.407224796$	$1$		$3$	$6144$	$0.226142$	$-562432000/53067$	$0.85277$	$2.68336$	$1$	$[0, 1, 0, -173, -1005]$	\(y^2=x^3+x^2-173x-1005\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(582, 14049)]$	$1$
44688.x2	44688j1	44688.x	44688j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 7^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$7.232869676$	$1$		$1$	$36864$	$0.852524$	$-562432000/53067$	$0.85277$	$3.24511$	$1$	$[0, -1, 0, -2123, -39906]$	\(y^2=x^3-x^2-2123x-39906\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(22410/11, 3229002/11)]$	$1$
60648.bg2	60648bo1	60648.bg	60648bo	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3 \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.845124333$	$1$		$1$	$138240$	$1.351788$	$-562432000/53067$	$0.85277$	$3.69914$	$1$	$[0, 1, 0, -15643, 806942]$	\(y^2=x^3+x^2-15643x+806942\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(814/3, 10108/3)]$	$1$
67032.bq2	67032cb1	67032.bq	67032cb	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 7^{8} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$147456$	$1.401829$	$-562432000/53067$	$0.85277$	$3.71986$	$1$	$[0, 0, 0, -19110, -1096571]$	\(y^2=x^3-19110x-1096571\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
76608.cw2	76608ee1	76608.cw	76608ee	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{7} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$49152$	$0.775448$	$-562432000/53067$	$0.85277$	$3.00734$	$1$	$[0, 0, 0, -1560, -25576]$	\(y^2=x^3-1560x-25576\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
76608.de2	76608cd1	76608.de	76608cd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{7} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.288656926$	$1$		$5$	$49152$	$0.775448$	$-562432000/53067$	$0.85277$	$3.00734$	$1$	$[0, 0, 0, -1560, 25576]$	\(y^2=x^3-1560x+25576\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(17, 63)]$	$1$
79800.bc2	79800bp1	79800.bc	79800bp	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$55296$	$0.684287$	$-562432000/53067$	$0.85277$	$2.89955$	$1$	$[0, 1, 0, -1083, -15162]$	\(y^2=x^3+x^2-1083x-15162\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
121296.w2	121296e1	121296.w	121296e	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3 \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$276480$	$1.351788$	$-562432000/53067$	$0.85277$	$3.48010$	$1$	$[0, -1, 0, -15643, -806942]$	\(y^2=x^3-x^2-15643x-806942\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
134064.cr2	134064eh1	134064.cr	134064eh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 7^{8} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.490522441$	$1$		$9$	$294912$	$1.401829$	$-562432000/53067$	$0.85277$	$3.50146$	$1$	$[0, 0, 0, -19110, 1096571]$	\(y^2=x^3-19110x+1096571\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(67, 342), (35, 686)]$	$1$
159600.cz2	159600gp1	159600.cz	159600gp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$110592$	$0.684287$	$-562432000/53067$	$0.85277$	$2.73179$	$1$	$[0, -1, 0, -1083, 15162]$	\(y^2=x^3-x^2-1083x+15162\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
178752.cz2	178752ju1	178752.cz	178752ju	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3 \cdot 7^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.324274353$	$1$		$3$	$294912$	$1.199097$	$-562432000/53067$	$0.85277$	$3.21701$	$1$	$[0, -1, 0, -8493, 327741]$	\(y^2=x^3-x^2-8493x+327741\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(68, 245)]$	$1$
178752.hp2	178752bk1	178752.hp	178752bk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3 \cdot 7^{8} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.199097$	$-562432000/53067$	$0.85277$	$3.21701$	$1$	$[0, 1, 0, -8493, -327741]$	\(y^2=x^3+x^2-8493x-327741\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
181944.bj2	181944bs1	181944.bj	181944bs	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$1$	$1105920$	$1.901094$	$-562432000/53067$	$0.85277$	$3.90785$	$1$	$[0, 0, 0, -140790, -21928223]$	\(y^2=x^3-140790x-21928223\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
239400.bx2	239400bx1	239400.bx	239400bx	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.284980183$	$1$		$7$	$442368$	$1.233593$	$-562432000/53067$	$0.85277$	$3.17456$	$1$	$[0, 0, 0, -9750, 399625]$	\(y^2=x^3-9750x+399625\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(60, 175)]$	$1$
363888.bv2	363888bv1	363888.bv	363888bv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.941184248$	$1$		$3$	$2211840$	$1.901094$	$-562432000/53067$	$0.85277$	$3.69631$	$1$	$[0, 0, 0, -140790, 21928223]$	\(y^2=x^3-140790x+21928223\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(-209, 6498)]$	$1$
386232.o2	386232o1	386232.o	386232o	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.165248405$	$1$		$7$	$491520$	$1.078516$	$-562432000/53067$	$0.85277$	$2.91186$	$1$	$[0, -1, 0, -5243, 159348]$	\(y^2=x^3-x^2-5243x+159348\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(37, 121)]$	$1$
424536.x2	424536x1	424536.x	424536x	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3 \cdot 7^{8} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$6635520$	$2.324741$	$-562432000/53067$	$0.85277$	$4.04464$	$1$	$[0, -1, 0, -766523, -278314140]$	\(y^2=x^3-x^2-766523x-278314140\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$
478800.iv2	478800iv1	478800.iv	478800iv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$3.885887920$	$1$		$3$	$884736$	$1.233593$	$-562432000/53067$	$0.85277$	$3.00632$	$1$	$[0, 0, 0, -9750, -399625]$	\(y^2=x^3-9750x-399625\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(451, 9324)]$	$1$
485184.cp2	485184cp1	485184.cp	485184cp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3 \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$5.100640143$	$1$		$5$	$2211840$	$1.698362$	$-562432000/53067$	$0.85277$	$3.42927$	$1$	$[0, -1, 0, -62573, 6518109]$	\(y^2=x^3-x^2-62573x+6518109\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[(-284, 1141)]$	$1$
485184.gm2	485184gm1	485184.gm	485184gm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3 \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$1$	$2211840$	$1.698362$	$-562432000/53067$	$0.85277$	$3.42927$	$1$	$[0, 1, 0, -62573, -6518109]$	\(y^2=x^3+x^2-62573x-6518109\)	2.3.0.a.1, 6.6.0.a.1, 532.6.0.?, 1596.12.0.?	$[ ]$	$1$

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