Elliptic curve search results

Results (24 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	Manin constant
9702.d2	9702g1	9702.d	9702g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{22} \cdot 3^{3} \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$137984$	$2.111454$	$-35148950502093/46137344$	$1.02147$	$5.66464$	$[1, -1, 0, -702228, -226579760]$	\(y^2+xy=x^3-x^2-702228x-226579760\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
9702.u2	9702e1	9702.u	9702e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{22} \cdot 3^{3} \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$19712$	$1.138500$	$-35148950502093/46137344$	$1.02147$	$4.39282$	$[1, -1, 0, -14331, 664677]$	\(y^2+xy=x^3-x^2-14331x+664677\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
9702.bh2	9702bl1	9702.bh	9702bl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{22} \cdot 3^{9} \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$59136$	$1.687807$	$-35148950502093/46137344$	$1.02147$	$5.11086$	$[1, -1, 1, -128981, -17817299]$	\(y^2+xy+y=x^3-x^2-128981x-17817299\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
9702.cb2	9702bj1	9702.cb	9702bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{22} \cdot 3^{9} \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$413952$	$2.660763$	$-35148950502093/46137344$	$1.02147$	$6.38268$	$[1, -1, 1, -6320054, 6123973573]$	\(y^2+xy+y=x^3-x^2-6320054x+6123973573\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
77616.bj2	77616dj1	77616.bj	77616dj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{34} \cdot 3^{9} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$3.983752180$	$1$		$3$	$1419264$	$2.380955$	$-35148950502093/46137344$	$1.02147$	$4.90570$	$[0, 0, 0, -2063691, 1142370810]$	\(y^2=x^3-2063691x+1142370810\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(1743, 53298)]$	$1$
77616.bt2	77616dx1	77616.bt	77616dx	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{34} \cdot 3^{3} \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$3311616$	$2.804604$	$-35148950502093/46137344$	$1.02147$	$5.35721$	$[0, 0, 0, -11235651, 14512340290]$	\(y^2=x^3-11235651x+14512340290\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
77616.fe2	77616dh1	77616.fe	77616dh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{34} \cdot 3^{9} \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$84.58015085$	$1$		$1$	$9934848$	$3.353909$	$-35148950502093/46137344$	$1.02147$	$5.94264$	$[0, 0, 0, -101120859, -391833187830]$	\(y^2=x^3-101120859x-391833187830\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(870303603438614533411736202378243945495/170968100615393377, 23962781442518338638668935658867855209928571673710502911690/170968100615393377)]$	$1$
77616.fx2	77616du1	77616.fx	77616du	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{34} \cdot 3^{3} \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$9$	$3$	$1$	$473088$	$1.831648$	$-35148950502093/46137344$	$1.02147$	$4.32027$	$[0, 0, 0, -229299, -42310030]$	\(y^2=x^3-229299x-42310030\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
106722.w2	106722bd1	106722.w	106722bd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{22} \cdot 3^{9} \cdot 7^{3} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$2.964292398$	$1$		$5$	$7096320$	$2.886753$	$-35148950502093/46137344$	$1.02147$	$5.29501$	$[1, -1, 0, -15606663, 23761644605]$	\(y^2+xy=x^3-x^2-15606663x+23761644605\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(-2483, 218497)]$	$1$
106722.de2	106722y1	106722.de	106722y	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{22} \cdot 3^{9} \cdot 7^{9} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$53.26627572$	$1$		$1$	$49674240$	$3.859711$	$-35148950502093/46137344$	$1.02147$	$6.30343$	$[1, -1, 0, -764726496, -8148714646528]$	\(y^2+xy=x^3-x^2-764726496x-8148714646528\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(123034803480068499959350976/3337654379, 1364505362975755093226840653760169178848/3337654379)]$	$1$
106722.fb2	106722fb1	106722.fb	106722fb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{22} \cdot 3^{3} \cdot 7^{9} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$16558080$	$3.310402$	$-35148950502093/46137344$	$1.02147$	$5.73410$	$[1, -1, 1, -84969611, 301832569371]$	\(y^2+xy+y=x^3-x^2-84969611x+301832569371\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
106722.go2	106722ev1	106722.go	106722ev	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{22} \cdot 3^{3} \cdot 7^{3} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$2365440$	$2.337448$	$-35148950502093/46137344$	$1.02147$	$4.72568$	$[1, -1, 1, -1734074, -879482887]$	\(y^2+xy+y=x^3-x^2-1734074x-879482887\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
242550.ff2	242550ff1	242550.ff	242550ff	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{22} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$13.22713528$	$1$		$1$	$7569408$	$2.492527$	$-35148950502093/46137344$	$1.02147$	$4.56286$	$[1, -1, 0, -3224517, -2230386859]$	\(y^2+xy=x^3-x^2-3224517x-2230386859\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(11936089/49, 37754022832/49)]$	$1$
242550.gi2	242550gi1	242550.gi	242550gi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{22} \cdot 3^{9} \cdot 5^{6} \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$6.726794361$	$1$		$5$	$52985856$	$3.465481$	$-35148950502093/46137344$	$1.02147$	$5.50451$	$[1, -1, 0, -158001342, 765338695316]$	\(y^2+xy=x^3-x^2-158001342x+765338695316\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(-14381, 258628)]$	$1$
242550.iv2	242550iv1	242550.iv	242550iv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{22} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$0.312414733$	$1$		$13$	$2523136$	$1.943218$	$-35148950502093/46137344$	$1.02147$	$4.03123$	$[1, -1, 1, -358280, 82726347]$	\(y^2+xy+y=x^3-x^2-358280x+82726347\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(269, 2265)]$	$1$
242550.kh2	242550kh1	242550.kh	242550kh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{22} \cdot 3^{3} \cdot 5^{6} \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$4.086968888$	$1$		$5$	$17661952$	$2.916176$	$-35148950502093/46137344$	$1.02147$	$4.97288$	$[1, -1, 1, -17555705, -28340025703]$	\(y^2+xy+y=x^3-x^2-17555705x-28340025703\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(8269, 621840)]$	$1$
310464.cu2	310464cu1	310464.cu	310464cu	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{40} \cdot 3^{3} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$24.13648530$	$1$		$1$	$3784704$	$2.178223$	$-35148950502093/46137344$	$1.02147$	$4.17554$	$[0, 0, 0, -917196, -338480240]$	\(y^2=x^3-917196x-338480240\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(259165426268/5879, 130802747527859568/5879)]$	$1$
310464.di2	310464di1	310464.di	310464di	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{40} \cdot 3^{9} \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$9$	$3$	$1$	$79478784$	$3.700481$	$-35148950502093/46137344$	$1.02147$	$5.62006$	$[0, 0, 0, -404483436, 3134665502640]$	\(y^2=x^3-404483436x+3134665502640\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
310464.em2	310464em1	310464.em	310464em	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{40} \cdot 3^{3} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$4.545115845$	$1$		$3$	$3784704$	$2.178223$	$-35148950502093/46137344$	$1.02147$	$4.17554$	$[0, 0, 0, -917196, 338480240]$	\(y^2=x^3-917196x+338480240\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(-56, 19740)]$	$1$
310464.fb2	310464fb1	310464.fb	310464fb	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{40} \cdot 3^{9} \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$25$	$5$	$1$	$79478784$	$3.700481$	$-35148950502093/46137344$	$1.02147$	$5.62006$	$[0, 0, 0, -404483436, -3134665502640]$	\(y^2=x^3-404483436x-3134665502640\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
310464.mw2	310464mw1	310464.mw	310464mw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{40} \cdot 3^{9} \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$11354112$	$2.727528$	$-35148950502093/46137344$	$1.02147$	$4.69679$	$[0, 0, 0, -8254764, -9138966480]$	\(y^2=x^3-8254764x-9138966480\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
310464.nl2	310464nl1	310464.nl	310464nl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{40} \cdot 3^{3} \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$17.41823469$	$1$		$1$	$26492928$	$3.151176$	$-35148950502093/46137344$	$1.02147$	$5.09880$	$[0, 0, 0, -44942604, 116098722320]$	\(y^2=x^3-44942604x+116098722320\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(-1516394180/457, 23309313343680/457)]$	$1$
310464.on2	310464on1	310464.on	310464on	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{40} \cdot 3^{9} \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$11354112$	$2.727528$	$-35148950502093/46137344$	$1.02147$	$4.69679$	$[0, 0, 0, -8254764, 9138966480]$	\(y^2=x^3-8254764x+9138966480\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$	$1$
310464.pd2	310464pd1	310464.pd	310464pd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{40} \cdot 3^{3} \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$83.09810615$	$1$		$1$	$26492928$	$3.151176$	$-35148950502093/46137344$	$1.02147$	$5.09880$	$[0, 0, 0, -44942604, -116098722320]$	\(y^2=x^3-44942604x-116098722320\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[(57283308434125570055763484236146631272/74475306233325521, 298254097125261153798166822465885516902529260724366224420/74475306233325521)]$	$1$

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