Cremona's table of elliptic curves

121086 = 2 · 3² · 7 · 31²

Class	r	Atkin-Lehner	Eigenvalues
121086a (1 curve)	0	2+ 3+ 7- 31+	2+ 3+ -1 7-  5  2 -1  7
Curve Equation t 121086a1 [1,-1,0,-620025,-459094671] 1
121086b (1 curve)	1	2+ 3+ 7- 31-	2+ 3+ -1 7- -5  1 -5  1
Curve Equation t Generators 121086b1 [1,-1,0,-369687270,2796117209524] 1 [8657:-498763:1]
121086c (1 curve)	1	2+ 3+ 7- 31-	2+ 3+ -1 7- -5 -2  1  7
Curve Equation t Generators 121086c1 [1,-1,0,-645,15577] 1 [-16:155:1]
121086d (1 curve)	1	2+ 3- 7+ 31-	2+ 3- -1 7+ -5  5 -3 -1
Curve Equation t Generators 121086d1 [1,-1,0,-180,7389144] 1 [969:29787:1]
121086e (4 curves)	1	2+ 3- 7+ 31-	2+ 3-  2 7+  0 -2  6  4
Curve Equation t Generators 121086e1 [1,-1,0,-17289531,-27665892635] 2 [290081659:70161430390:4913] 121086e2 [1,-1,0,-17981451,-25330939403] 4 [24209239366051919:5854998176249224478:410006814589] 121086e3 [1,-1,0,30279969,-137924832263] 2 [60556257796830891381078961957125:-4028716395198607108166987632745234:13524516996510768931158203125] 121086e4 [1,-1,0,-77313591,236691657265] 2 [-5606224:-1416528541:2197]
121086f (6 curves)	1	2+ 3- 7+ 31-	2+ 3-  2 7+  4  2 -6 -4
Curve Equation t Generators 121086f1 [1,-1,0,-899676,-39004236720] 2 [462630549746055199367938861324860725159770668360:-12166145749838414725524094109684926604214623975076:124276592991602529382050175904829652640237875] 121086f2 [1,-1,0,-178031196,-901882723248] 4 [-1960537207806576224719437501:-10575832213041830980026346872:279544083716996383237399] 121086f3 [1,-1,0,-352395036,1154599278480] 2 [152645283124113024:-9749324402042253660:46916981112763] 121086f4 [1,-1,0,-2837771676,-58184713441008] 4 [-1747365549608095644142740888853417549544176336629:731823038490621009289776991867789426348865938797:56799325444676832426693467498969132596317439] 121086f5 [1,-1,0,-2827046916,-58646330705880] 2 [4244017997575595832630288757188702161532377270579142572770356903189915740074179884215899361365:-748932464890009159938328482842008777331723765717876386433203826073995912479710760094406819145605:54881569771587150834825129811958965507141660835045252177279735696484274205972663501324377] 121086f6 [1,-1,0,-45404344116,-3723856178998536] 2 [-2936947434036012290436593708626955118152528569208132210969967565147830806625250388452582600502013:1468463095900659899407692917503682035834340569081355113119220308825219866728521397577296322914749:23873108957250016856467382725448857345315862694172131813306676736158655978011688529897893839]
121086g (6 curves)	1	2+ 3- 7+ 31-	2+ 3-  2 7+ -4 -6  2 -4
Curve Equation t Generators 121086g1 [1,-1,0,-34776,5520960] 2 [69320:892705:512] 121086g2 [1,-1,0,-726696,238421232] 4 [312:6324:1] 121086g3 [1,-1,0,-899676,116470332] 4 [8436:21297:64] 121086g4 [1,-1,0,-11624436,15257686500] 2 [1248:51270:1] 121086g5 [1,-1,0,3338334,897111774] 2 [289323252:-615300314661:64] 121086g6 [1,-1,0,-7905366,-8471104470] 2 [-38437140:32608365:21952]
121086h (4 curves)	1	2+ 3- 7+ 31-	2+ 3- -2 7+  0  2  2  8
Curve Equation t Generators 121086h1 [1,-1,0,-31456593,66060537309] 2 [6114771:-20587527:2197] 121086h2 [1,-1,0,-75739473,-161190346275] 4 [-176626431314931:-1926700176758196:24363778699] 121086h3 [1,-1,0,224553807,-1122429135555] 2 [193763804929853678946601055283:-11454957566591398759426382700684:39948088992724695841630741] 121086h4 [1,-1,0,-1084558833,-13744539500931] 2 [-244258007550402756968615025:-183710338613620078714047612:12714348931309722577049]
121086i (4 curves)	1	2+ 3- 7+ 31-	2+ 3- -2 7+  4 -2 -2  0
Curve Equation t Generators 121086i1 [1,-1,0,-363438,-83963516] 2 [5588:412358:1] 121086i2 [1,-1,0,-536418,4290880] 4 [-88:7172:1] 121086i3 [1,-1,0,2144772,32711494] 2 [351860:26824043:64] 121086i4 [1,-1,0,-5985288,5622075850] 2 [12750:84595:8]
121086j (2 curves)	1	2+ 3- 7+ 31-	2+ 3- -2 7+ -6 -4  2 -4
Curve Equation t Generators 121086j1 [1,-1,0,-276948,60009660] 2 [-54:8676:1] 121086j2 [1,-1,0,-4514958,3693679434] 2 [1155:3747:1]
121086k (1 curve)	1	2+ 3- 7+ 31-	2+ 3-  3 7+ -3  3 -5 -1
Curve Equation t Generators 121086k1 [1,-1,0,-10828728,15131322688] 1 [193318:29690497:8]
121086l (1 curve)	1	2+ 3- 7+ 31-	2+ 3-  3 7+  4 -4  2  6
Curve Equation t Generators 121086l1 [1,-1,0,-20443533,-35572931443] 1 [62766743941370000238789118919519:6546290508392754589393998340980720:4904603237366850144249266347]
121086m (1 curve)	1	2+ 3- 7- 31+	2+ 3- -4 7- -4 -1 -7  4
Curve Equation t Generators 121086m1 [1,-1,0,-7144254,-7385949036] 1 [219162285:10355887386:50653]
121086n (1 curve)	0	2+ 3- 7- 31-	2+ 3- -1 7-  1 -5 -5 -5
Curve Equation t 121086n1 [1,-1,0,-1989450,-1079619098] 1
121086o (2 curves)	0	2+ 3- 7- 31-	2+ 3-  2 7- -2  4 -2 -8
Curve Equation t 121086o1 [1,-1,0,181449,37961437] 2 121086o2 [1,-1,0,-1202391,383644669] 2
121086p (3 curves)	0	2+ 3- 7- 31-	2+ 3- -3 7-  0  4 -6  2
Curve Equation t 121086p1 [1,-1,0,-34776,13147456] 1 121086p2 [1,-1,0,311184,-343537304] 1 121086p3 [1,-1,0,-29181906,-60699805394] 1
121086q (1 curve)	0	2+ 3- 7- 31-	2+ 3- -4 7-  4  1  7  4
Curve Equation t 121086q1 [1,-1,0,-7434,249844] 1
121086r (1 curve)	1	2- 3+ 7- 31+	2- 3+  1 7- -5  2  1  7
Curve Equation t Generators 121086r1 [1,-1,1,-5580227,12401136343] 1 [883:89900:1]
121086s (1 curve)	0	2- 3+ 7- 31-	2- 3+  1 7-  5  1  5  1
Curve Equation t 121086s1 [1,-1,1,-3327185432,-75491837471717] 1
121086t (1 curve)	0	2- 3+ 7- 31-	2- 3+  1 7-  5 -2 -1  7
Curve Equation t 121086t1 [1,-1,1,-5807,-414773] 1
121086u (1 curve)	1	2- 3- 7+ 31+	2- 3-  0 7+  0  1 -3  0
Curve Equation t Generators 121086u1 [1,-1,1,117665140,-5904453483889] 1 [4337745:788072897:125]
121086v (1 curve)	0	2- 3- 7+ 31-	2- 3-  0 7+  0 -1  3  0
Curve Equation t 121086v1 [1,-1,1,122440,198164283] 1
121086w (2 curves)	0	2- 3- 7+ 31-	2- 3-  0 7+  2 -2  2 -2
Curve Equation t 121086w1 [1,-1,1,-55055390,138983093421] 2 121086w2 [1,-1,1,-852147230,9574637458605] 2
121086x (2 curves)	0	2- 3- 7+ 31-	2- 3-  0 7+ -2  2  2 -6
Curve Equation t 121086x1 [1,-1,1,-62165,-3830291] 2 121086x2 [1,-1,1,-408125,97605181] 2
121086y (2 curves)	0	2- 3- 7+ 31-	2- 3-  0 7+ -6  2  6  6
Curve Equation t 121086y1 [1,-1,1,-90995,2537295] 2 121086y2 [1,-1,1,-869405,-309760797] 2
121086z (2 curves)	0	2- 3- 7+ 31-	2- 3-  2 7+ -2 -4  0 -4
Curve Equation t 121086z1 [1,-1,1,247175266,128423963693] 2 121086z2 [1,-1,1,-992745374,1030094253101] 2
121086ba (2 curves)	0	2- 3- 7+ 31-	2- 3- -4 7+ -2  2  6  2
Curve Equation t 121086ba1 [1,-1,1,-94088327,351296394815] 2 121086ba2 [1,-1,1,-97201967,326804502575] 2
121086bb (2 curves)	0	2- 3- 7- 31+	2- 3- -3 7- -3 -4  3 -1
Curve Equation t 121086bb1 [1,-1,1,-575339,-180317941] 1 121086bb2 [1,-1,1,3446446,36858449] 3
121086bc (6 curves)	1	2- 3- 7- 31-	2- 3-  0 7-  0  4  6  2
Curve Equation t Generators 121086bc1 [1,-1,1,-4505,236661] 2 [46972920:-656303099:1728000] 121086bc2 [1,-1,1,-90995,10580865] 2 [70310:2091999:1000] 121086bc3 [1,-1,1,38740,-4935441] 2 [551:13269:1] 121086bc4 [1,-1,1,-307220,-53646609] 2 [1155:33057:1] 121086bc5 [1,-1,1,-1474835,-691008717] 2 [682266585:-86146215434:42875] 121086bc6 [1,-1,1,-23616275,-44167940301] 2 [-120277535:59529198:42875]
121086bd (4 curves)	1	2- 3- 7- 31-	2- 3-  0 7-  6 -2  6 -4
Curve Equation t Generators 121086bd1 [1,-1,1,-1604570,653305353] 2 [-1077:34173:1] 121086bd2 [1,-1,1,3065890,3743281689] 2 [11261:1205229:1] 121086bd3 [1,-1,1,-37022225,-86628873855] 2 [-4637523:-7810844:1331] 121086bd4 [1,-1,1,-28719185,-126539926527] 2 [4812297105:-804480526156:166375]
121086be (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7-  1 -7  7  3
Curve Equation t Generators 121086be1 [1,-1,1,-5063,-277815] 1 [1366:14937:8]
121086bf (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7- -1  7 -7  3
Curve Equation t Generators 121086bf1 [1,-1,1,-4865243,8315300693] 1 [764958:236098475:8]
121086bg (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7-  4  2 -2 -2
Curve Equation t Generators 121086bg1 [1,-1,1,4702,-355935] 1 [225:3359:1]
121086bh (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7- -4 -2  2 -2
Curve Equation t Generators 121086bh1 [1,-1,1,4518922,10567500293] 1 [721:-119525:1]
121086bi (2 curves)	1	2- 3- 7- 31-	2- 3-  2 7-  0  2 -6  2
Curve Equation t Generators 121086bi1 [1,-1,1,-81270509,-254134541199] 2 [169728531019:43093342140342:2571353] 121086bi2 [1,-1,1,107883121,-1261869420387] 2 [5311730470816299628:1370386261226182267287:81137747953088]
121086bj (2 curves)	1	2- 3- 7- 31-	2- 3-  2 7-  2 -2  2  6
Curve Equation t Generators 121086bj1 [1,-1,1,-35142932669,2535741557079941] 2 [341103:173714632:1] 121086bj2 [1,-1,1,-562286336189,162287393423261573] 2 [705682461:152600254424:1331]
121086bk (2 curves)	1	2- 3- 7- 31-	2- 3-  2 7-  2 -2  2 -8
Curve Equation t Generators 121086bk1 [1,-1,1,-123359,-18599497] 2 [907:24346:1] 121086bk2 [1,-1,1,-2037299,-1118732209] 2 [13430:103581:8]
121086bl (2 curves)	1	2- 3- 7- 31-	2- 3-  2 7- -2  2 -2  6
Curve Equation t Generators 121086bl1 [1,-1,1,-36569129,-85108268055] 2 [-3495:2150:1] 121086bl2 [1,-1,1,-585105449,-5447379917847] 2 [-30681651:15339072:2197]
121086bm (2 curves)	1	2- 3- 7- 31-	2- 3-  2 7- -2  2 -2 -8
Curve Equation t Generators 121086bm1 [1,-1,1,-118547699,555045988803] 2 [109942:9812085:8] 121086bm2 [1,-1,1,-1957844039,33343813982715] 2 [15238127814:315546422349:551368]
121086bn (2 curves)	1	2- 3- 7- 31-	2- 3-  2 7- -6 -4  0 -4
Curve Equation t Generators 121086bn1 [1,-1,1,-272624,90860883] 2 [-519:9869:1] 121086bn2 [1,-1,1,-5116064,4453831635] 2 [7293:592173:1]
121086bo (2 curves)	1	2- 3- 7- 31-	2- 3- -2 7-  0  6 -2 -2
Curve Equation t Generators 121086bo1 [1,-1,1,-1639166,-710726515] 2 [-581:7017:1] 121086bo2 [1,-1,1,2512354,-3729711859] 2 [1527:59779:1]
121086bp (2 curves)	1	2- 3- 7- 31-	2- 3- -3 7-  3  4 -3 -1
Curve Equation t Generators 121086bp1 [1,-1,1,-599,6207] 1 [17:18:1] 121086bp2 [1,-1,1,3586,-2163] 1 [89:963:1]
121086bq (2 curves)	1	2- 3- 7- 31-	2- 3- -3 7- -3  1  3 -1
Curve Equation t Generators 121086bq1 [1,-1,1,635521,4340252967] 1 [-643:-60222:1] 121086bq2 [1,-1,1,-5721494,-117396584283] 1 [38417:7488123:1]
121086br (2 curves)	1	2- 3- 7- 31-	2- 3- -4 7-  4  2 -2  0
Curve Equation t Generators 121086br1 [1,-1,1,-1111577,398402025] 2 [1841:66822:1] 121086br2 [1,-1,1,-17198717,27456971505] 2 [6368375:93899118:2197]
121086bs (2 curves)	1	2- 3- 7- 31-	2- 3- -4 7- -4 -2  2  0
Curve Equation t Generators 121086bs1 [1,-1,1,-1157,-13075] 2 [-23:42:1] 121086bs2 [1,-1,1,-17897,-917035] 2 [-77:42:1]

Data from Elliptic Curve Data by J. E. Cremona.
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