Elliptic curve search results

Results (20 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
4290.h1	4290i2	4290.h	4290i	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{7} \cdot 3^{14} \cdot 5 \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1560$	$12$	$0$	$6.278263713$	$1$		$2$	$75264$	$2.193867$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.92712$	$[1, 1, 0, -312912, -20145024]$	\(y^2+xy=x^3+x^2-312912x-20145024\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(1495, 52696)]$
12870.bo1	12870bm2	12870.bo	12870bm	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{7} \cdot 3^{20} \cdot 5 \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.857110200$	$1$		$6$	$602112$	$2.743176$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.93558$	$[1, -1, 1, -2816213, 541099437]$	\(y^2+xy+y=x^3-x^2-2816213x+541099437\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(1835, 38448)]$
21450.ck1	21450cs2	21450.ck	21450cs	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.161777762$	$1$		$18$	$1806336$	$2.998589$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.93888$	$[1, 0, 0, -7822813, -2502482383]$	\(y^2+xy=x^3-7822813x-2502482383\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(9182, 831959)]$
34320.cb1	34320cb2	34320.cb	34320cb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{19} \cdot 3^{14} \cdot 5 \cdot 11^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$1806336$	$2.887016$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.54340$	$[0, 1, 0, -5006600, 1279268340]$	\(y^2=x^3+x^2-5006600x+1279268340\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$
47190.bx1	47190ce2	47190.bx	47190ce	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{14} \cdot 5 \cdot 11^{8} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.566215407$	$1$		$4$	$9031680$	$3.392815$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.94335$	$[1, 1, 1, -37862415, 26623714965]$	\(y^2+xy+y=x^3+x^2-37862415x+26623714965\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(5825, 58434)]$
55770.bs1	55770bp2	55770.bs	55770bp	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{7} \cdot 3^{14} \cdot 5 \cdot 11^{2} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$0$	$12644352$	$3.476341$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.94422$	$[1, 1, 1, -52882216, -43994206807]$	\(y^2+xy+y=x^3+x^2-52882216x-43994206807\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$
64350.r1	64350bg2	64350.r	64350bg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{7} \cdot 3^{20} \cdot 5^{7} \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.324688375$	$1$		$6$	$14450688$	$3.547894$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.94494$	$[1, -1, 0, -70405317, 67567024341]$	\(y^2+xy=x^3-x^2-70405317x+67567024341\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(339, 208968)]$
102960.s1	102960dq2	102960.s	102960dq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{19} \cdot 3^{20} \cdot 5 \cdot 11^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$14450688$	$3.436321$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.58686$	$[0, 0, 0, -45059403, -34585304582]$	\(y^2=x^3-45059403x-34585304582\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$
137280.k1	137280da2	137280.k	137280da	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{25} \cdot 3^{14} \cdot 5 \cdot 11^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$14450688$	$3.233589$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.24535$	$[0, -1, 0, -20026401, 10254173121]$	\(y^2=x^3-x^2-20026401x+10254173121\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$
137280.fe1	137280fp2	137280.fe	137280fp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{25} \cdot 3^{14} \cdot 5 \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.737871301$	$1$		$9$	$14450688$	$3.233589$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.24535$	$[0, 1, 0, -20026401, -10254173121]$	\(y^2=x^3+x^2-20026401x-10254173121\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(-1533, 129792)]$
141570.k1	141570dr2	141570.k	141570dr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{20} \cdot 5 \cdot 11^{8} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$4$	$2$	$0$	$72253440$	$3.942123$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.94860$	$[1, -1, 0, -340761735, -719181065795]$	\(y^2+xy=x^3-x^2-340761735x-719181065795\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$
167310.bs1	167310df2	167310.bs	167310df	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{7} \cdot 3^{20} \cdot 5 \cdot 11^{2} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$4$	$2$	$0$	$101154816$	$4.025650$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.94932$	$[1, -1, 0, -475939944, 1187367643840]$	\(y^2+xy=x^3-x^2-475939944x+1187367643840\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$
171600.da1	171600es2	171600.da	171600es	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{7} \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.395473415$	$1$		$3$	$43352064$	$3.691734$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.60437$	$[0, -1, 0, -125165008, 160158872512]$	\(y^2=x^3-x^2-125165008x+160158872512\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(-6984, 832832)]$
210210.bw1	210210du2	210210.bw	210210du	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{7} \cdot 3^{14} \cdot 5 \cdot 7^{6} \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.802884135$	$1$		$8$	$27095040$	$3.166824$	$3388383326345613179401/1787816842064922240$	$1.02295$	$4.99762$	$[1, 0, 1, -15332714, 6863745116]$	\(y^2+xy+y=x^3-15332714x+6863745116\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(3876, 73351)]$
235950.dv1	235950dv2	235950.dv	235950dv	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 11^{8} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$9.376431902$	$1$		$2$	$216760320$	$4.197533$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.95072$	$[1, 0, 1, -946560376, 3329857491398]$	\(y^2+xy+y=x^3-946560376x+3329857491398\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(4257472, 8782357826)]$
278850.dr1	278850dr2	278850.dr	278850dr	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 11^{2} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$0$	$303464448$	$4.281059$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.95138$	$[1, 0, 1, -1322055401, -5496631740052]$	\(y^2+xy+y=x^3-1322055401x-5496631740052\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$
377520.hj1	377520hj2	377520.hj	377520hj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{19} \cdot 3^{14} \cdot 5 \cdot 11^{8} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$216760320$	$4.085960$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.62866$	$[0, 1, 0, -605798640, -1705129355052]$	\(y^2=x^3+x^2-605798640x-1705129355052\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$
411840.if1	411840if2	411840.if	411840if	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{25} \cdot 3^{20} \cdot 5 \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$5.750193777$	$1$		$3$	$115605504$	$3.782894$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.30947$	$[0, 0, 0, -180237612, -276682436656]$	\(y^2=x^3-180237612x-276682436656\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(-9200, 776412)]$
411840.mg1	411840mg2	411840.mg	411840mg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{25} \cdot 3^{20} \cdot 5 \cdot 11^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$9.590346937$	$1$		$1$	$115605504$	$3.782894$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.30947$	$[0, 0, 0, -180237612, 276682436656]$	\(y^2=x^3-180237612x+276682436656\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(1240485/7, 1185155257/7)]$
446160.ge1	446160ge2	446160.ge	446160ge	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{19} \cdot 3^{14} \cdot 5 \cdot 11^{2} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$303464448$	$4.169487$	$3388383326345613179401/1787816842064922240$	$1.02295$	$5.63343$	$[0, 1, 0, -846115456, 2813937004724]$	\(y^2=x^3+x^2-846115456x+2813937004724\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[ ]$

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