Cremona's table of elliptic curves

90846 = 2 · 3² · 7² · 103

Class	r	Atkin-Lehner	Eigenvalues
90846a (1 curve)	1	2+ 3+ 7+ 103+	2+ 3+  4 7+  2 -4  4  0
Curve Equation t Generators 90846a1 [1,-1,0,-3390,2708] 1 [79:433:1]
90846b (1 curve)	2	2+ 3+ 7+ 103-	2+ 3+ -1 7+  0 -7 -6 -1
Curve Equation t Generators 90846b1 [1,-1,0,-149655,22266397] 1 [-306:6425:1]&[206:281:1]
90846c (1 curve)	2	2+ 3+ 7+ 103-	2+ 3+ -1 7+ -1  4  0 -6
Curve Equation t Generators 90846c1 [1,-1,0,285,-3123] 1 [9:6:1]&[13:45:1]
90846d (1 curve)	0	2+ 3+ 7+ 103-	2+ 3+ -1 7+  4 -1  0 -1
Curve Equation t 90846d1 [1,-1,0,-11292622035,-461886969321163] 1
90846e (1 curve)	2	2+ 3+ 7+ 103-	2+ 3+  2 7+  2 -2 -6 -6
Curve Equation t Generators 90846e1 [1,-1,0,-45726,3774924] 1 [-87:2706:1]&[590:6859:8]
90846f (1 curve)	0	2+ 3+ 7+ 103-	2+ 3+  2 7+ -2  2 -6  2
Curve Equation t 90846f1 [1,-1,0,-11423526,-7388010316] 1
90846g (1 curve)	2	2+ 3+ 7+ 103-	2+ 3+ -3 7+ -4 -1  0 -5
Curve Equation t Generators 90846g1 [1,-1,0,-156,748] 1 [-12:34:1]&[2:-22:1]
90846h (1 curve)	0	2+ 3+ 7- 103+	2+ 3+  1 7-  0  7  6  1
Curve Equation t 90846h1 [1,-1,0,-3054,-64044] 1
90846i (1 curve)	0	2+ 3+ 7- 103+	2+ 3+  1 7- -1 -4  0  6
Curve Equation t 90846i1 [1,-1,0,13956,1043272] 1
90846j (1 curve)	0	2+ 3+ 7- 103+	2+ 3+  1 7-  4  1  0  1
Curve Equation t 90846j1 [1,-1,0,-230461674,1346675086196] 1
90846k (1 curve)	0	2+ 3+ 7- 103+	2+ 3+ -1 7- -2 -1  0  6
Curve Equation t 90846k1 [1,-1,0,-11689912320,-486477081804736] 1
90846l (1 curve)	2	2+ 3+ 7- 103+	2+ 3+ -1 7-  6 -1 -8 -2
Curve Equation t Generators 90846l1 [1,-1,0,-56310,5972084] 1 [-260:1858:1]&[37:1966:1]
90846m (1 curve)	0	2+ 3+ 7- 103+	2+ 3+ -2 7-  2  2  6  6
Curve Equation t 90846m1 [1,-1,0,-933,-10739] 1
90846n (1 curve)	0	2+ 3+ 7- 103+	2+ 3+ -2 7- -2 -2  6 -2
Curve Equation t 90846n1 [1,-1,0,-559752783,2535207043949] 1
90846o (1 curve)	0	2+ 3+ 7- 103+	2+ 3+  3 7- -4  1  0  5
Curve Equation t 90846o1 [1,-1,0,-7653,-241263] 1
90846p (1 curve)	0	2+ 3+ 7- 103+	2+ 3+  4 7-  3  4  0  1
Curve Equation t 90846p1 [1,-1,0,285,8343] 1
90846q (1 curve)	1	2+ 3+ 7- 103-	2+ 3+  1 7- -2  7  4  6
Curve Equation t Generators 90846q1 [1,-1,0,5136,309056] 1 [-40:216:1]
90846r (1 curve)	1	2+ 3+ 7- 103-	2+ 3+ -4 7-  2  4 -4  0
Curve Equation t Generators 90846r1 [1,-1,0,-166119,-596611] 1 [-379:2985:1]
90846s (1 curve)	0	2+ 3- 7+ 103+	2+ 3-  0 7+  0 -6  6  8
Curve Equation t 90846s1 [1,-1,0,-3537,24219] 1
90846t (1 curve)	1	2+ 3- 7+ 103-	2+ 3- -1 7+ -1 -2  3  0
Curve Equation t Generators 90846t1 [1,-1,0,14985,116829] 1 [-177:3739:27]
90846u (1 curve)	1	2+ 3- 7+ 103-	2+ 3- -1 7+  4  3 -2  5
Curve Equation t Generators 90846u1 [1,-1,0,-4542750,3727851952] 1 [1224:-200:1]
90846v (1 curve)	1	2+ 3- 7+ 103-	2+ 3- -2 7+  0 -4 -4 -2
Curve Equation t Generators 90846v1 [1,-1,0,-3113028,2114864464] 1 [1019:-505:1]
90846w (1 curve)	1	2+ 3- 7+ 103-	2+ 3-  3 7+  1  4  2  2
Curve Equation t Generators 90846w1 [1,-1,0,-491283,542793397] 1 [23041057:1393913905:68921]
90846x (1 curve)	1	2+ 3- 7+ 103-	2+ 3-  3 7+ -1  2  0  6
Curve Equation t Generators 90846x1 [1,-1,0,-182583,39235293] 1 [-339:8049:1]
90846y (1 curve)	1	2+ 3- 7+ 103-	2+ 3-  3 7+ -4 -1  2 -3
Curve Equation t Generators 90846y1 [1,-1,0,-2204568,-1259337668] 1 [-858:458:1]
90846z (1 curve)	1	2+ 3- 7+ 103-	2+ 3-  3 7+  5 -4  6 -2
Curve Equation t Generators 90846z1 [1,-1,0,33507,-11453] 1 [3467:202670:1]
90846ba (2 curves)	1	2+ 3- 7+ 103-	2+ 3- -3 7+  3 -4  3  2
Curve Equation t Generators 90846ba1 [1,-1,0,-891,-10179] 1 [37:62:1] 90846ba2 [1,-1,0,3519,-49869] 3 [5761:37358:343]
90846bb (1 curve)	1	2+ 3- 7+ 103-	2+ 3- -3 7+ -5 -2  2 -4
Curve Equation t Generators 90846bb1 [1,-1,0,-16549416,25917404638] 1 [2349:-1123:1]
90846bc (2 curves)	1	2+ 3- 7- 103+	2+ 3-  0 7- -2  2 -2  4
Curve Equation t Generators 90846bc1 [1,-1,0,-7947,1545669] 2 [6:1221:1] 90846bc2 [1,-1,0,-254907,49406517] 2 [-54:7965:1]
90846bd (1 curve)	1	2+ 3- 7- 103+	2+ 3-  1 7- -1  2 -3  0
Curve Equation t Generators 90846bd1 [1,-1,0,306,-428] 1 [846:8363:8]
90846be (1 curve)	1	2+ 3- 7- 103+	2+ 3-  1 7-  4 -3  2 -5
Curve Equation t Generators 90846be1 [1,-1,0,-222594759,-1278208030023] 1 [19513574979:3167221389594:571787]
90846bf (4 curves)	1	2+ 3- 7- 103+	2+ 3-  2 7-  0 -2 -2  8
Curve Equation t Generators 90846bf1 [1,-1,0,-11916,-252288] 2 [-68:524:1] 90846bf2 [1,-1,0,-91296,10464012] 4 [102:1434:1] 90846bf3 [1,-1,0,1314,30634470] 2 [445:10695:1] 90846bf4 [1,-1,0,-1453986,675184194] 2 [88455:19974:125]
90846bg (1 curve)	1	2+ 3- 7- 103+	2+ 3-  2 7-  0  4  4  2
Curve Equation t Generators 90846bg1 [1,-1,0,-152538381,-725093434395] 1 [-60483305110661847768650637658309533045659459629093:30469374673613615919056610198114668928286782632040:8482373856589426882691855286282684475514457059]
90846bh (1 curve)	1	2+ 3- 7- 103+	2+ 3- -2 7- -1  4 -4  3
Curve Equation t Generators 90846bh1 [1,-1,0,432,44064] 1 [9:-225:1]
90846bi (2 curves)	1	2+ 3- 7- 103+	2+ 3- -2 7-  2  0 -6  2
Curve Equation t Generators 90846bi1 [1,-1,0,-17208,117760] 2 [-88:1016:1] 90846bi2 [1,-1,0,-175968,-28236776] 2 [-235:428:1]
90846bj (2 curves)	1	2+ 3- 7- 103+	2+ 3- -2 7-  2  2  0  0
Curve Equation t Generators 90846bj1 [1,-1,0,-15650658,23813632660] 2 [127892:1389149:64] 90846bj2 [1,-1,0,-11840418,35696247124] 2 [-2524:223742:1]
90846bk (2 curves)	1	2+ 3- 7- 103+	2+ 3- -2 7-  4  0  8 -2
Curve Equation t Generators 90846bk1 [1,-1,0,-66663333,207313465365] 2 [22521:3171216:1] 90846bk2 [1,-1,0,-12473253,534567358485] 2 [107721129:16092839568:4913]
90846bl (2 curves)	1	2+ 3- 7- 103+	2+ 3- -2 7- -4  4 -4 -6
Curve Equation t Generators 90846bl1 [1,-1,0,-253143,27386505] 2 [72:3051:1] 90846bl2 [1,-1,0,818487,197775675] 2 [-47:12641:1]
90846bm (2 curves)	1	2+ 3- 7- 103+	2+ 3- -2 7- -6  4  6 -2
Curve Equation t Generators 90846bm1 [1,-1,0,-2515803138,-47534561742060] 2 [-2367692273847070304811249566488812:-77459831174490734296698834905014887:79549280291881694488818608704] 90846bm2 [1,-1,0,-40014280098,-3080838860904204] 2 [-27401700071323195846726697567096556955701773041722643395444:8671885405325563136383020094832479551937746575705928595695:237384485666615659653953578260195388875495392270145472]
90846bn (1 curve)	1	2+ 3- 7- 103+	2+ 3-  3 7-  2 -3  0  0
Curve Equation t Generators 90846bn1 [1,-1,0,-654453,-203618507] 1 [13946:1637075:1]
90846bo (2 curves)	1	2+ 3- 7- 103+	2+ 3-  3 7-  3  4 -3 -2
Curve Equation t Generators 90846bo1 [1,-1,0,-43668,3578728] 1 [4182975:49780447:15625] 90846bo2 [1,-1,0,172422,16760218] 1 [1941872649903856703025:128489605543688612852023:22887556596859515625]
90846bp (1 curve)	1	2+ 3- 7- 103+	2+ 3-  3 7-  4  5 -2 -2
Curve Equation t Generators 90846bp1 [1,-1,0,-440505648,3597119873892] 1 [-854020078:184754660700:68921]
90846bq (1 curve)	1	2+ 3- 7- 103+	2+ 3-  3 7- -4  1 -2  6
Curve Equation t Generators 90846bq1 [1,-1,0,-17208,-871452] 1 [226:2484:1]
90846br (1 curve)	1	2+ 3- 7- 103+	2+ 3-  3 7- -5  2 -2  4
Curve Equation t Generators 90846br1 [1,-1,0,-810921393,-8888047948053] 1 [6199671290478426843620746028908296639:8104887529208515219888701807256314615:188533024858614467097097185268997]
90846bs (1 curve)	1	2+ 3- 7- 103+	2+ 3- -3 7-  1 -4 -2 -2
Curve Equation t Generators 90846bs1 [1,-1,0,-24072876,-186129989424] 1 [53153811:2061380745:6859]
90846bt (1 curve)	1	2+ 3- 7- 103+	2+ 3- -3 7- -1 -2  0 -6
Curve Equation t Generators 90846bt1 [1,-1,0,-3726,-113324] 1 [137:1322:1]
90846bu (1 curve)	1	2+ 3- 7- 103+	2+ 3- -3 7- -4  1 -2  3
Curve Equation t Generators 90846bu1 [1,-1,0,-44991,3684393] 1 [129:-186:1]
90846bv (1 curve)	1	2+ 3- 7- 103+	2+ 3- -3 7-  5  4 -6  2
Curve Equation t Generators 90846bv1 [1,-1,0,684,-162] 1 [123:1329:1]
90846bw (1 curve)	1	2+ 3- 7- 103+	2+ 3- -4 7- -3 -2 -2  5
Curve Equation t Generators 90846bw1 [1,-1,0,1503801,-2107157571] 1 [933:9897:1]
90846bx (1 curve)	2	2+ 3- 7- 103-	2+ 3-  0 7-  0  6 -6 -8
Curve Equation t Generators 90846bx1 [1,-1,0,-72,-50] 1 [17:50:1]&[-3:13:1]
90846by (2 curves)	0	2+ 3- 7- 103-	2+ 3-  0 7-  2  2  6  4
Curve Equation t 90846by1 [1,-1,0,426438,190635444] 2 90846by2 [1,-1,0,-3524922,2118108852] 2
90846bz (2 curves)	0	2+ 3- 7- 103-	2+ 3-  2 7- -6  0  2 -6
Curve Equation t 90846bz1 [1,-1,0,-327231,-71951783] 2 90846bz2 [1,-1,0,-366921,-53368925] 2
90846ca (2 curves)	0	2+ 3- 7- 103-	2+ 3- -2 7- -2  4 -2  6
Curve Equation t 90846ca1 [1,-1,0,-81888,6640640] 2 90846ca2 [1,-1,0,-1210848,513092096] 2
90846cb (1 curve)	2	2+ 3- 7- 103-	2+ 3- -3 7-  0 -3 -6 -2
Curve Equation t Generators 90846cb1 [1,-1,0,-119961,50027053] 1 [149:-6028:1]&[-94:7823:1]
90846cc (1 curve)	0	2+ 3- 7- 103-	2+ 3- -4 7-  3  6  2 -3
Curve Equation t 90846cc1 [1,-1,0,-81594,13137844] 1
90846cd (1 curve)	2	2- 3+ 7+ 103+	2- 3+ -4 7+ -2 -4 -4  0
Curve Equation t Generators 90846cd1 [1,-1,1,-377,25] 1 [-19:16:1]&[-5:-40:1]
90846ce (1 curve)	1	2- 3+ 7+ 103-	2- 3+  1 7+  0 -7  6 -1
Curve Equation t Generators 90846ce1 [1,-1,1,-1346897,-599845823] 1 [-649:1108:1]
90846cf (1 curve)	1	2- 3+ 7+ 103-	2- 3+  1 7+  1  4  0 -6
Curve Equation t Generators 90846cf1 [1,-1,1,2563,81757] 1 [65:688:1]
90846cg (1 curve)	1	2- 3+ 7+ 103-	2- 3+  1 7+ -4 -1  0 -1
Curve Equation t Generators 90846cg1 [1,-1,1,-1254735782,17107343034933] 1 [20873:94011:1]
90846ch (1 curve)	1	2- 3+ 7+ 103-	2- 3+ -2 7+  2  2  6  2
Curve Equation t Generators 90846ch1 [1,-1,1,-1269281,274053105] 1 [-141:21288:1]
90846ci (1 curve)	1	2- 3+ 7+ 103-	2- 3+ -2 7+ -2 -2  6 -6
Curve Equation t Generators 90846ci1 [1,-1,1,-411536,-101511413] 1 [919:16739:1]
90846cj (1 curve)	1	2- 3+ 7+ 103-	2- 3+  3 7+  4 -1  0 -5
Curve Equation t Generators 90846cj1 [1,-1,1,-1406,-18791] 1 [-19:37:1]
90846ck (1 curve)	1	2- 3+ 7- 103+	2- 3+  1 7-  2 -1  0  6
Curve Equation t Generators 90846ck1 [1,-1,1,-1298879147,18018102656187] 1 [2600995:-1299678:125]
90846cl (1 curve)	1	2- 3+ 7- 103+	2- 3+  1 7- -6 -1  8 -2
Curve Equation t Generators 90846cl1 [1,-1,1,-6257,-219103] 1 [135:1108:1]
90846cm (1 curve)	1	2- 3+ 7- 103+	2- 3+ -1 7-  0  7 -6  1
Curve Equation t Generators 90846cm1 [1,-1,1,-27488,1756675] 1 [109:161:1]
90846cn (1 curve)	1	2- 3+ 7- 103+	2- 3+ -1 7-  1 -4  0  6
Curve Equation t Generators 90846cn1 [1,-1,1,125602,-28293947] 1 [1651:67565:1]
90846co (1 curve)	1	2- 3+ 7- 103+	2- 3+ -1 7- -4  1  0  1
Curve Equation t Generators 90846co1 [1,-1,1,-25606853,-49868319427] 1 [-78747:43456:27]
90846cp (1 curve)	1	2- 3+ 7- 103+	2- 3+  2 7-  2 -2 -6 -2
Curve Equation t Generators 90846cp1 [1,-1,1,-62194754,-93875825599] 1 [11073:752767:1]
90846cq (1 curve)	1	2- 3+ 7- 103+	2- 3+  2 7- -2  2 -6  6
Curve Equation t Generators 90846cq1 [1,-1,1,-8399,298351] 1 [53:-26:1]
90846cr (1 curve)	1	2- 3+ 7- 103+	2- 3+ -3 7-  4  1  0  5
Curve Equation t Generators 90846cr1 [1,-1,1,-68879,6582979] 1 [1502:3187:8]
90846cs (1 curve)	1	2- 3+ 7- 103+	2- 3+ -4 7- -3  4  0  1
Curve Equation t Generators 90846cs1 [1,-1,1,2563,-227825] 1 [47710:12689:1000]
90846ct (1 curve)	0	2- 3+ 7- 103-	2- 3+ -1 7-  2  7 -4  6
Curve Equation t 90846ct1 [1,-1,1,46222,-8390735] 1
90846cu (1 curve)	0	2- 3+ 7- 103-	2- 3+  4 7- -2  4  4  0
Curve Equation t 90846cu1 [1,-1,1,-18458,28249] 1
90846cv (1 curve)	0	2- 3- 7+ 103-	2- 3-  1 7+ -4  5  0  5
Curve Equation t 90846cv1 [1,-1,1,-14342,68037] 1
90846cw (1 curve)	2	2- 3- 7+ 103-	2- 3- -1 7+ -4 -3  0  1
Curve Equation t Generators 90846cw1 [1,-1,1,-21398,1207973] 1 [-159:835:1]&[9:-1013:1]
90846cx (1 curve)	2	2- 3- 7+ 103-	2- 3- -1 7+  5 -6 -6 -8
Curve Equation t Generators 90846cx1 [1,-1,1,3526447,1691372225] 1 [1605:106360:1]&[307:52788:1]
90846cy (1 curve)	0	2- 3- 7+ 103-	2- 3-  2 7+ -4  4  0  6
Curve Equation t 90846cy1 [1,-1,1,-140909,16057325] 1
90846cz (2 curves)	0	2- 3- 7- 103+	2- 3-  0 7-  3 -2 -6  1
Curve Equation t 90846cz1 [1,-1,1,-9050,335283] 1 90846cz2 [1,-1,1,24025,1769415] 1
90846da (1 curve)	0	2- 3- 7- 103+	2- 3-  1 7- -4  3  0 -1
Curve Equation t 90846da1 [1,-1,1,-1048487,-412237857] 1
90846db (1 curve)	0	2- 3- 7- 103+	2- 3-  1 7-  5  6  6  8
Curve Equation t 90846db1 [1,-1,1,71968,-4951677] 1
90846dc (1 curve)	2	2- 3- 7- 103+	2- 3- -1 7- -4 -5  0 -5
Curve Equation t Generators 90846dc1 [1,-1,1,-293,-115] 1 [-15:34:1]&[-11:46:1]
90846dd (1 curve)	0	2- 3- 7- 103+	2- 3-  2 7- -4  1  0  4
Curve Equation t 90846dd1 [1,-1,1,-6404,-850615] 1
90846de (2 curves)	0	2- 3- 7- 103+	2- 3-  2 7- -6 -4 -4  0
Curve Equation t 90846de1 [1,-1,1,-63734,-6094987] 2 90846de2 [1,-1,1,-125474,7685381] 2
90846df (2 curves)	2	2- 3- 7- 103+	2- 3- -2 7- -4  2 -6  0
Curve Equation t Generators 90846df1 [1,-1,1,-7286,350277] 2 [-75:723:1]&[-138:5553:8] 90846df2 [1,-1,1,-130766,18230181] 2 [191:-537:1]&[2166:11857:8]
90846dg (1 curve)	2	2- 3- 7- 103+	2- 3- -2 7- -4 -4  0 -6
Curve Equation t Generators 90846dg1 [1,-1,1,-2876,-45993] 1 [95:681:1]&[-25:111:1]
90846dh (2 curves)	0	2- 3- 7- 103+	2- 3- -3 7-  6  1  0  4
Curve Equation t 90846dh1 [1,-1,1,143536,-65278461] 1 90846dh2 [1,-1,1,-8965319,-10340495553] 1
90846di (1 curve)	0	2- 3- 7- 103+	2- 3-  4 7- -1  2  6 -3
Curve Equation t 90846di1 [1,-1,1,-72468878,-237437087331] 1
90846dj (2 curves)	0	2- 3- 7- 103+	2- 3-  4 7-  6  2  2  4
Curve Equation t 90846dj1 [1,-1,1,652,-6541] 2 90846dj2 [1,-1,1,-3758,-59461] 2
90846dk (2 curves)	2	2- 3- 7- 103+	2- 3- -4 7-  2 -2 -6 -8
Curve Equation t Generators 90846dk1 [1,-1,1,-254687,81611975] 2 [-4618:50325:8]&[-333:11542:1] 90846dk2 [1,-1,1,-4770527,4010392775] 2 [1423:9382:1]&[-843:86632:1]
90846dl (1 curve)	1	2- 3- 7- 103-	2- 3-  0 7- -3 -2 -2  1
Curve Equation t Generators 90846dl1 [1,-1,1,-61970,11447993] 1 [-201:4069:1]
90846dm (1 curve)	1	2- 3- 7- 103-	2- 3- -1 7- -6  1  0  8
Curve Equation t Generators 90846dm1 [1,-1,1,652,30503] 1 [51:415:1]
90846dn (1 curve)	1	2- 3- 7- 103-	2- 3-  2 7-  3  4  0 -1
Curve Equation t Generators 90846dn1 [1,-1,1,-1243409,-533384575] 1 [1815:55540:1]
90846do (1 curve)	1	2- 3- 7- 103-	2- 3- -2 7-  4 -5  4  0
Curve Equation t Generators 90846do1 [1,-1,1,799,-32903] 1 [65:506:1]
90846dp (2 curves)	1	2- 3- 7- 103-	2- 3- -2 7- -6  4  4  0
Curve Equation t Generators 90846dp1 [1,-1,1,-1301,18141] 2 [-19:198:1] 90846dp2 [1,-1,1,-2561,-21675] 2 [-25:174:1]

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

Part of Computational Number Theory
Back to Tables and computations