Cremona's table of elliptic curves

111384 = 2³ · 3² · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
111384a (1 curve)	0	2+ 3+ 7+ 13+ 17-	2+ 3+  3 7+ -2 13+ 17-  5
Curve Equation t 111384a1 [0,0,0,-1791,25867] 1
111384b (1 curve)	0	2+ 3+ 7+ 13- 17+	2+ 3+  1 7+  6 13- 17+ -1
Curve Equation t 111384b1 [0,0,0,-6327,-193373] 1
111384c (2 curves)	1	2+ 3+ 7+ 13- 17-	2+ 3+ -2 7+  4 13- 17- -4
Curve Equation t Generators 111384c1 [0,0,0,-35031,-655254] 2 [-126:1326:1] 111384c2 [0,0,0,-329811,72391230] 2 [367:884:1]
111384d (2 curves)	0	2+ 3+ 7- 13+ 17+	2+ 3+  0 7-  0 13+ 17+ -4
Curve Equation t 111384d1 [0,0,0,165,166] 2 111384d2 [0,0,0,-675,1342] 2
111384e (2 curves)	0	2+ 3+ 7- 13+ 17+	2+ 3+  4 7-  0 13+ 17+ -4
Curve Equation t 111384e1 [0,0,0,1782,30105] 2 111384e2 [0,0,0,-10503,288090] 2
111384f (2 curves)	1	2+ 3+ 7- 13+ 17-	2+ 3+  2 7- -2 13+ 17-  0
Curve Equation t Generators 111384f1 [0,0,0,-894,-2655] 2 [-20:85:1] 111384f2 [0,0,0,3441,-20862] 2 [31:340:1]
111384g (1 curve)	1	2+ 3+ 7- 13- 17+	2+ 3+ -1 7- -2 13- 17+  7
Curve Equation t Generators 111384g1 [0,0,0,-508023,139261211] 1 [355:-1911:1]
111384h (1 curve)	1	2+ 3+ 7- 13- 17+	2+ 3+ -1 7- -4 13- 17+ -1
Curve Equation t Generators 111384h1 [0,0,0,-243,999] 1 [15:27:1]
111384i (2 curves)	1	2+ 3+ 7- 13- 17+	2+ 3+ -2 7-  0 13- 17+  0
Curve Equation t Generators 111384i1 [0,0,0,-1431,-11286] 2 [67:440:1] 111384i2 [0,0,0,-10611,412830] 2 [79:260:1]
111384j (2 curves)	2	2+ 3+ 7- 13- 17-	2+ 3+  0 7- -4 13- 17- -4
Curve Equation t Generators 111384j1 [0,0,0,-217335,38994282] 2 [318:-1428:1]&[-158:8330:1] 111384j2 [0,0,0,-199995,45475974] 2 [103:-5096:1]&[-209:8840:1]
111384k (1 curve)	2	2+ 3+ 7- 13- 17-	2+ 3+ -3 7- -4 13- 17- -1
Curve Equation t Generators 111384k1 [0,0,0,-67479,-6467589] 1 [-9564:-33813:64]&[-125:119:1]
111384l (1 curve)	0	2+ 3- 7+ 13+ 17+	2+ 3-  0 7+  2 13+ 17+ -5
Curve Equation t 111384l1 [0,0,0,-145395795,-674801374322] 1
111384m (2 curves)	2	2+ 3- 7+ 13+ 17+	2+ 3-  0 7+ -4 13+ 17+  4
Curve Equation t Generators 111384m1 [0,0,0,-615,-614] 2 [-18:68:1]&[-13:72:1] 111384m2 [0,0,0,2445,-4898] 2 [23:-252:1]&[38:378:1]
111384n (1 curve)	1	2+ 3- 7+ 13+ 17-	2+ 3-  0 7+ -5 13+ 17- -1
Curve Equation t Generators 111384n1 [0,0,0,-75,1654] 1 [-9:40:1]
111384o (1 curve)	1	2+ 3- 7+ 13+ 17-	2+ 3- -1 7+  0 13+ 17- -1
Curve Equation t Generators 111384o1 [0,0,0,-363,-2441] 1 [-13:9:1]
111384p (2 curves)	1	2+ 3- 7+ 13+ 17-	2+ 3- -4 7+  6 13+ 17- -4
Curve Equation t Generators 111384p1 [0,0,0,-126507,17260630] 2 [15:3920:1] 111384p2 [0,0,0,-187347,-1052210] 2 [4210:54315:8]
111384q (1 curve)	1	2+ 3- 7+ 13- 17+	2+ 3- -1 7+  0 13- 17+ -5
Curve Equation t Generators 111384q1 [0,0,0,-57544969548,-5313236659305356] 1 [738041189198782114727510662996475943999662:1347786978760806190300944098715700642537879218:220144816816882291160726012926835833]
111384r (1 curve)	1	2+ 3- 7+ 13- 17+	2+ 3- -1 7+  0 13- 17+  6
Curve Equation t Generators 111384r1 [0,0,0,-7112296803,230867564466814] 1 [334187618:83870514:6859]
111384s (4 curves)	1	2+ 3- 7+ 13- 17+	2+ 3-  2 7+  0 13- 17+  4
Curve Equation t Generators 111384s1 [0,0,0,-1823799,-948007478] 2 [90498:9553271:8] 111384s2 [0,0,0,-1854219,-914746250] 4 [20542240074:2168320796915:1815848] 111384s3 [0,0,0,1557501,-3900001250] 2 [1032752573871737932650:-110089613243974497967715:91754599466107304] 111384s4 [0,0,0,-5752659,4199227342] 2 [3163339340007546630:-330310530623794437797:278061485183000]
111384t (4 curves)	1	2+ 3- 7+ 13- 17+	2+ 3- -2 7+  0 13- 17+ -4
Curve Equation t Generators 111384t1 [0,0,0,-182754066,949286145481] 2 [12161116:273587139:1331] 111384t2 [0,0,0,-2922660471,60815693113450] 4 [429309789:15487772872:12167] 111384t3 [0,0,0,-2921255931,60877065050566] 2 [-529:7900776:1] 111384t4 [0,0,0,-46762567491,3892204367126350] 4 [1507465936952020914:-1252729308624208690:12057825180491]
111384u (1 curve)	1	2+ 3- 7+ 13- 17+	2+ 3- -3 7+ -2 13- 17+  3
Curve Equation t Generators 111384u1 [0,0,0,-1119,14051] 1 [7:81:1]
111384v (2 curves)	1	2+ 3- 7+ 13- 17+	2+ 3-  4 7+  0 13- 17+ -4
Curve Equation t Generators 111384v1 [0,0,0,-2343,-42950] 2 [450:455:8] 111384v2 [0,0,0,-3,-124850] 2 [15350:1901790:1]
111384w (1 curve)	1	2+ 3- 7+ 13- 17+	2+ 3-  4 7+ -5 13- 17+  5
Curve Equation t Generators 111384w1 [0,0,0,-229563,45888390] 1 [1855:77480:1]
111384x (4 curves)	0	2+ 3- 7+ 13- 17-	2+ 3-  2 7+  0 13- 17-  0
Curve Equation t 111384x1 [0,0,0,1401,-16742] 2 111384x2 [0,0,0,-7419,-152570] 4 111384x3 [0,0,0,-50259,4225678] 2 111384x4 [0,0,0,-105699,-13223810] 2
111384y (1 curve)	1	2+ 3- 7- 13+ 17+	2+ 3-  3 7-  6 13+ 17+ -1
Curve Equation t Generators 111384y1 [0,0,0,-8571,-300953] 1 [-57:49:1]
111384z (1 curve)	0	2+ 3- 7- 13+ 17-	2+ 3-  1 7-  2 13+ 17-  7
Curve Equation t 111384z1 [0,0,0,-27475887,29517556507] 1
111384ba (2 curves)	0	2+ 3- 7- 13+ 17-	2+ 3-  2 7- -2 13+ 17-  0
Curve Equation t 111384ba1 [0,0,0,-122139,-16429338] 2 111384ba2 [0,0,0,-117459,-17746290] 2
111384bb (1 curve)	2	2+ 3- 7- 13- 17+	2+ 3- -1 7- -2 13- 17+ -1
Curve Equation t Generators 111384bb1 [0,0,0,3301692,3391636484] 1 [-758:21294:1]&[-191:52479:1]
111384bc (1 curve)	2	2+ 3- 7- 13- 17+	2+ 3- -1 7- -2 13- 17+ -7
Curve Equation t Generators 111384bc1 [0,0,0,-4143,102611] 1 [-74:63:1]&[31:-63:1]
111384bd (4 curves)	0	2+ 3- 7- 13- 17+	2+ 3-  2 7-  0 13- 17+  4
Curve Equation t 111384bd1 [0,0,0,-24519,-1446118] 2 111384bd2 [0,0,0,-54939,2855270] 4 111384bd3 [0,0,0,174381,20512910] 2 111384bd4 [0,0,0,-770979,260486462] 2
111384be (1 curve)	0	2+ 3- 7- 13- 17+	2+ 3-  2 7-  1 13- 17+ -5
Curve Equation t 111384be1 [0,0,0,-1119,20018] 1
111384bf (2 curves)	1	2+ 3- 7- 13- 17-	2+ 3-  0 7- -2 13- 17-  8
Curve Equation t Generators 111384bf1 [0,0,0,-6555,24806] 2 [-38:468:1] 111384bf2 [0,0,0,-67395,-6704098] 2 [-142:52:1]
111384bg (1 curve)	1	2+ 3- 7- 13- 17-	2+ 3- -1 7- -2 13- 17- -5
Curve Equation t Generators 111384bg1 [0,0,0,-49188,26634116] 1 [226:5202:1]
111384bh (1 curve)	1	2+ 3- 7- 13- 17-	2+ 3- -3 7- -2 13- 17-  5
Curve Equation t Generators 111384bh1 [0,0,0,-12370179,-10541880169] 1 [10219:964467:1]
111384bi (1 curve)	1	2+ 3- 7- 13- 17-	2+ 3-  4 7- -2 13- 17-  5
Curve Equation t Generators 111384bi1 [0,0,0,-90723,114866750] 1 [550:15210:1]
111384bj (1 curve)	0	2- 3+ 7+ 13+ 17+	2- 3+ -3 7+  2 13+ 17+  5
Curve Equation t 111384bj1 [0,0,0,-16119,-698409] 1
111384bk (2 curves)	1	2- 3+ 7+ 13- 17+	2- 3+  2 7+ -4 13- 17+ -4
Curve Equation t Generators 111384bk1 [0,0,0,-315279,17691858] 2 [-441:8424:1] 111384bk2 [0,0,0,-2968299,-1954563210] 2 [35730:2174445:8]
111384bl (1 curve)	2	2- 3+ 7+ 13- 17-	2- 3+ -1 7+ -6 13- 17- -1
Curve Equation t Generators 111384bl1 [0,0,0,-56943,5221071] 1 [201:1377:1]&[66:1323:1]
111384bm (2 curves)	1	2- 3+ 7- 13+ 17+	2- 3+ -2 7-  2 13+ 17+  0
Curve Equation t Generators 111384bm1 [0,0,0,-8046,71685] 2 [-18:459:1] 111384bm2 [0,0,0,30969,563274] 2 [9:918:1]
111384bn (2 curves)	0	2- 3+ 7- 13+ 17-	2- 3+  0 7-  0 13+ 17- -4
Curve Equation t 111384bn1 [0,0,0,1485,-4482] 2 111384bn2 [0,0,0,-6075,-36234] 2
111384bo (2 curves)	2	2- 3+ 7- 13+ 17-	2- 3+ -4 7-  0 13+ 17- -4
Curve Equation t Generators 111384bo1 [0,0,0,198,-1115] 2 [6:17:1]&[18:91:1] 111384bo2 [0,0,0,-1167,-10670] 2 [-27:34:1]&[-22:66:1]
111384bp (2 curves)	0	2- 3+ 7- 13- 17+	2- 3+  0 7-  4 13- 17+ -4
Curve Equation t 111384bp1 [0,0,0,-1956015,-1052845614] 2 111384bp2 [0,0,0,-1799955,-1227851298] 2
111384bq (1 curve)	0	2- 3+ 7- 13- 17+	2- 3+  3 7-  4 13- 17+ -1
Curve Equation t 111384bq1 [0,0,0,-607311,174624903] 1
111384br (1 curve)	1	2- 3+ 7- 13- 17-	2- 3+  1 7-  2 13- 17-  7
Curve Equation t Generators 111384br1 [0,0,0,-4572207,-3760052697] 1 [-1247:1547:1]
111384bs (1 curve)	1	2- 3+ 7- 13- 17-	2- 3+  1 7-  4 13- 17- -1
Curve Equation t Generators 111384bs1 [0,0,0,-27,-37] 1 [-2:3:1]
111384bt (2 curves)	1	2- 3+ 7- 13- 17-	2- 3+  2 7-  0 13- 17-  0
Curve Equation t Generators 111384bt1 [0,0,0,-159,418] 2 [-6:34:1] 111384bt2 [0,0,0,-1179,-15290] 2 [-18:10:1]
111384bu (1 curve)	1	2- 3- 7+ 13+ 17+	2- 3-  1 7+ -6 13+ 17+  5
Curve Equation t Generators 111384bu1 [0,0,0,-4287,-74513] 1 [-19:9:1]
111384bv (1 curve)	2	2- 3- 7+ 13- 17+	2- 3-  1 7+ -4 13- 17+  1
Curve Equation t Generators 111384bv1 [0,0,0,-818247,284663927] 1 [601:3159:1]&[-614:23571:1]
111384bw (4 curves)	1	2- 3- 7+ 13- 17-	2- 3- -2 7+  0 13- 17-  4
Curve Equation t Generators 111384bw1 [0,0,0,-346386,-11881595] 4 [-478:6669:1] 111384bw2 [0,0,0,-4104831,-3195284510] 4 [-1197:1768:1] 111384bw3 [0,0,0,-2700291,-5415300434] 2 [2934:109174:1] 111384bw4 [0,0,0,-65644491,-204713055146] 2 [21566:2899962:1]
111384bx (1 curve)	1	2- 3- 7+ 13- 17-	2- 3- -2 7+  3 13- 17- -5
Curve Equation t Generators 111384bx1 [0,0,0,1689,-29846] 1 [21:122:1]
111384by (1 curve)	1	2- 3- 7+ 13- 17-	2- 3-  3 7+  2 13- 17-  1
Curve Equation t Generators 111384by1 [0,0,0,-2271,-4457] 1 [-43:117:1]
111384bz (1 curve)	0	2- 3- 7- 13+ 17+	2- 3-  0 7-  2 13+ 17+  5
Curve Equation t 111384bz1 [0,0,0,-308955,66179734] 1
111384ca (1 curve)	0	2- 3- 7- 13+ 17+	2- 3-  0 7- -3 13+ 17+ -5
Curve Equation t 111384ca1 [0,0,0,-186175155,-977756472898] 1
111384cb (2 curves)	2	2- 3- 7- 13+ 17+	2- 3-  0 7- -6 13+ 17+  4
Curve Equation t Generators 111384cb1 [0,0,0,-70230,70229] 2 [-242:1701:1]&[-74:2205:1] 111384cb2 [0,0,0,280905,561818] 2 [1:918:1]&[341:-11662:1]
111384cc (1 curve)	2	2- 3- 7- 13+ 17+	2- 3- -1 7-  0 13+ 17+ -5
Curve Equation t Generators 111384cc1 [0,0,0,-91803,-10372021] 1 [-191:441:1]&[-170:567:1]
111384cd (1 curve)	0	2- 3- 7- 13+ 17+	2- 3-  2 7-  5 13+ 17+ -5
Curve Equation t 111384cd1 [0,0,0,666,413397] 1
111384ce (1 curve)	0	2- 3- 7- 13+ 17+	2- 3- -3 7- -4 13+ 17+  2
Curve Equation t 111384ce1 [0,0,0,-219099,-39478826] 1
111384cf (2 curves)	1	2- 3- 7- 13+ 17-	2- 3-  0 7- -2 13+ 17- -4
Curve Equation t Generators 111384cf1 [0,0,0,690,-97211] 2 [90:-833:1] 111384cf2 [0,0,0,-27975,-1742582] 2 [377:-6426:1]
111384cg (2 curves)	1	2- 3- 7- 13+ 17-	2- 3-  0 7- -4 13+ 17-  4
Curve Equation t Generators 111384cg1 [0,0,0,-538095,144937042] 2 [1042:70227:8] 111384cg2 [0,0,0,346245,574549414] 2 [398:27846:1]
111384ch (1 curve)	1	2- 3- 7- 13+ 17-	2- 3- -1 7-  0 13+ 17-  2
Curve Equation t Generators 111384ch1 [0,0,0,-363,3526] 1 [26:108:1]
111384ci (1 curve)	1	2- 3- 7- 13+ 17-	2- 3-  2 7- -3 13+ 17- -7
Curve Equation t Generators 111384ci1 [0,0,0,-38919,-3458198] 1 [382863:45586990:27]
111384cj (1 curve)	1	2- 3- 7- 13+ 17-	2- 3- -3 7-  2 13+ 17- -7
Curve Equation t Generators 111384cj1 [0,0,0,-478659,127463411] 1 [73:9639:1]
111384ck (1 curve)	1	2- 3- 7- 13- 17+	2- 3- -1 7-  0 13- 17+ -3
Curve Equation t Generators 111384ck1 [0,0,0,-2343,-43409] 1 [-27:13:1]
111384cl (1 curve)	1	2- 3- 7- 13- 17+	2- 3- -1 7-  6 13- 17+  3
Curve Equation t Generators 111384cl1 [0,0,0,-231843,5471611] 1 [-127:-5733:1]
111384cm (4 curves)	1	2- 3- 7- 13- 17+	2- 3-  2 7-  0 13- 17+  0
Curve Equation t Generators 111384cm1 [0,0,0,-15832794,-24248456507] 2 [4926:131495:1] 111384cm2 [0,0,0,-15949839,-23871735470] 4 [-2227:24570:1] 111384cm3 [0,0,0,4218621,-80145772562] 2 [15011:1834560:1] 111384cm4 [0,0,0,-37991019,56512447990] 2 [9435:733460:1]
111384cn (4 curves)	1	2- 3- 7- 13- 17+	2- 3- -2 7- -4 13- 17+  0
Curve Equation t Generators 111384cn1 [0,0,0,-18066,-927691] 2 [-74:63:1] 111384cn2 [0,0,0,-31071,583490] 4 [257:-3094:1] 111384cn3 [0,0,0,118869,4571894] 2 [131:-4732:1] 111384cn4 [0,0,0,-389091,93310670] 2 [419:1960:1]
111384co (1 curve)	0	2- 3- 7- 13- 17-	2- 3-  2 7- -3 13- 17-  0
Curve Equation t 111384co1 [0,0,0,-7419,20946742] 1
111384cp (2 curves)	0	2- 3- 7- 13- 17-	2- 3-  2 7- -6 13- 17-  0
Curve Equation t 111384cp1 [0,0,0,-1821459,946187422] 2 111384cp2 [0,0,0,-1816779,951291430] 2
111384cq (1 curve)	0	2- 3- 7- 13- 17-	2- 3- -2 7-  1 13- 17-  5
Curve Equation t 111384cq1 [0,0,0,-25086,1529309] 1
111384cr (4 curves)	0	2- 3- 7- 13- 17-	2- 3- -2 7-  4 13- 17- -4
Curve Equation t 111384cr1 [0,0,0,2454,-141451] 2 111384cr2 [0,0,0,-30351,-1840750] 4 111384cr3 [0,0,0,-112971,12617750] 4 111384cr4 [0,0,0,-472611,-125054386] 2
111384cs (1 curve)	0	2- 3- 7- 13- 17-	2- 3-  3 7-  6 13- 17- -5
Curve Equation t 111384cs1 [0,0,0,-927156,-351609932] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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