Cremona's table of elliptic curves

89232 = 2⁴ · 3 · 11 · 13²

Class	r	Atkin-Lehner	Eigenvalues
89232a (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+  2  0 11+ 13+ -4  7
Curve Equation t Generators 89232a1 [0,-1,0,-44672,7730592] 1 [113:2028:1]
89232b (4 curves)	1	2+ 3+ 11+ 13+	2+ 3+  2  4 11+ 13+  6 -8
Curve Equation t Generators 89232b1 [0,-1,0,113,-12650] 2 [4879786730:-33903820404:94196375] 89232b2 [0,-1,0,-7492,-240800] 4 [216225:3537170:729] 89232b3 [0,-1,0,-17632,562288] 2 [1166:39546:1] 89232b4 [0,-1,0,-119032,-15767168] 2 [-42496254658:-199890495:213847192]
89232c (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+ -2  0 11+ 13+  8  2
Curve Equation t Generators 89232c1 [0,-1,0,1001776,-654038256] 2 [13009:1487876:1] 89232c2 [0,-1,0,-7995784,-7146677552] 2 [391842263:43814252508:29791]
89232d (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+  3  3 11+ 13+ -4  6
Curve Equation t Generators 89232d1 [0,-1,0,28336,429792] 1 [202:8619:8]
89232e (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+ -4 -2 11+ 13+ -6  4
Curve Equation t Generators 89232e1 [0,-1,0,-1354760,607385856] 2 [334:13858:1] 89232e2 [0,-1,0,-1348000,613740256] 2 [516:-7436:1]
89232f (2 curves)	0	2+ 3+ 11- 13+	2+ 3+  0  0 11- 13+ -4  0
Curve Equation t 89232f1 [0,-1,0,481932,469027584] 2 89232f2 [0,-1,0,-6910128,6435898416] 2
89232g (2 curves)	0	2+ 3+ 11- 13+	2+ 3+  0  2 11- 13+ -2  8
Curve Equation t 89232g1 [0,-1,0,-1408,-5552] 2 89232g2 [0,-1,0,5352,-48816] 2
89232h (4 curves)	0	2+ 3+ 11- 13+	2+ 3+  2  0 11- 13+ -2 -4
Curve Equation t 89232h1 [0,-1,0,6028,24192] 2 89232h2 [0,-1,0,-24392,218880] 4 89232h3 [0,-1,0,-247472,-47074080] 2 89232h4 [0,-1,0,-288032,59485152] 4
89232i (1 curve)	2	2+ 3+ 11- 13+	2+ 3+ -2  0 11- 13+ -4 -7
Curve Equation t Generators 89232i1 [0,-1,0,-264,3600] 1 [8:-44:1]&[-3:66:1]
89232j (2 curves)	0	2+ 3+ 11- 13+	2+ 3+ -2  4 11- 13+  4 -2
Curve Equation t 89232j1 [0,-1,0,14816,59344] 2 89232j2 [0,-1,0,-59544,535248] 2
89232k (4 curves)	0	2+ 3+ 11- 13+	2+ 3+ -2  4 11- 13+ -6  0
Curve Equation t 89232k1 [0,-1,0,-129679,-13133810] 2 89232k2 [0,-1,0,-745684,237457024] 4 89232k3 [0,-1,0,440696,920811904] 4 89232k4 [0,-1,0,-11788144,15582059440] 2
89232l (2 curves)	0	2+ 3- 11+ 13+	2+ 3-  0  4 11+ 13+  8  4
Curve Equation t 89232l1 [0,1,0,1972,545676] 2 89232l2 [0,1,0,-89288,9927204] 2
89232m (1 curve)	0	2+ 3- 11+ 13+	2+ 3-  1  0 11+ 13+  5 -1
Curve Equation t 89232m1 [0,1,0,-9520,11636] 1
89232n (1 curve)	0	2+ 3- 11+ 13+	2+ 3-  1 -1 11+ 13+  5 -2
Curve Equation t 89232n1 [0,1,0,-273160,-119575468] 1
89232o (2 curves)	1	2+ 3- 11+ 13-	2+ 3-  2  2 11+ 13- -4  4
Curve Equation t Generators 89232o1 [0,1,0,-44672,9748740] 2 [70:2640:1] 89232o2 [0,1,0,-1011352,390620660] 2 [4954:11835:8]
89232p (2 curves)	1	2+ 3- 11+ 13-	2+ 3-  2 -2 11+ 13- -2  2
Curve Equation t Generators 89232p1 [0,1,0,-407,1548] 2 [-8:66:1] 89232p2 [0,1,0,1348,12780] 2 [43:390:1]
89232q (1 curve)	1	2+ 3- 11- 13+	2+ 3-  1  3 11- 13+  0 -6
Curve Equation t Generators 89232q1 [0,1,0,-820720,338184692] 1 [212:13182:1]
89232r (1 curve)	1	2+ 3- 11- 13+	2+ 3- -1  0 11- 13+  5  1
Curve Equation t Generators 89232r1 [0,1,0,-56,-12] 1 [-6:12:1]
89232s (1 curve)	1	2+ 3- 11- 13+	2+ 3- -1  1 11- 13+  5  2
Curve Equation t Generators 89232s1 [0,1,0,-1616,-54924] 1 [118:-1188:1]
89232t (6 curves)	1	2+ 3- 11- 13+	2+ 3-  2  0 11- 13+  2  4
Curve Equation t Generators 89232t1 [0,1,0,-797567,-274422732] 2 [587269028:129001128840:12167] 89232t2 [0,1,0,-798412,-273812980] 4 [193058:84825840:1] 89232t3 [0,1,0,-402952,-544782172] 4 [395455888157:173756175471780:2048383] 89232t4 [0,1,0,-1207392,36193860] 4 [1086:2640:1] 89232t5 [0,1,0,4815768,293985108] 2 [-438:43935:8] 89232t6 [0,1,0,-13774232,19625384052] 2 [1252:65910:1]
89232u (4 curves)	1	2+ 3- 11- 13+	2+ 3- -2  0 11- 13+  6  0
Curve Equation t Generators 89232u1 [0,1,0,-2084,34620] 2 [25653:790244:27] 89232u2 [0,1,0,-5464,-110044] 4 [86:252:1] 89232u3 [0,1,0,14816,-718444] 2 [1308:9170:27] 89232u4 [0,1,0,-79824,-8706060] 2 [-162:12:1]
89232v (2 curves)	0	2+ 3- 11- 13-	2+ 3- -2  2 11- 13- -2 -2
Curve Equation t 89232v1 [0,1,0,-68839,3676232] 2 89232v2 [0,1,0,227756,27166556] 2
89232w (2 curves)	2	2+ 3- 11- 13-	2+ 3- -2 -2 11- 13- -4 -4
Curve Equation t Generators 89232w1 [0,1,0,-264,4356] 2 [-18:60:1]&[-9:78:1] 89232w2 [0,1,0,-5984,175956] 2 [-74:468:1]&[4:390:1]
89232x (4 curves)	0	2- 3+ 11+ 13+	2- 3+  0  2 11+ 13+  6  2
Curve Equation t 89232x1 [0,-1,0,-16084293,24460308144] 2 89232x2 [0,-1,0,-32716428,-34763398164] 2 89232x3 [0,-1,0,-1297374693,17986915270908] 2 89232x4 [0,-1,0,-1297397508,17986251044124] 2
89232y (4 curves)	0	2- 3+ 11+ 13+	2- 3+  0  2 11+ 13+ -6 -4
Curve Equation t 89232y1 [0,-1,0,-14928,-657216] 2 89232y2 [0,-1,0,12112,-2798784] 2 89232y3 [0,-1,0,-217728,39026688] 2 89232y4 [0,-1,0,-109568,77704704] 2
89232z (4 curves)	0	2- 3+ 11+ 13+	2- 3+  0 -4 11+ 13+  0 -4
Curve Equation t 89232z1 [0,-1,0,972032,-265551872] 2 89232z2 [0,-1,0,-4868608,-2354164736] 2 89232z3 [0,-1,0,-10100848,16503217600] 2 89232z4 [0,-1,0,-176234608,900467727808] 2
89232ba (1 curve)	0	2- 3+ 11+ 13+	2- 3+  1  2 11+ 13+ -3  1
Curve Equation t 89232ba1 [0,-1,0,-273160,-19230992] 1
89232bb (1 curve)	0	2- 3+ 11+ 13+	2- 3+  1 -2 11+ 13+  1  4
Curve Equation t 89232bb1 [0,-1,0,-53460,-5214132] 1
89232bc (1 curve)	0	2- 3+ 11+ 13+	2- 3+  1 -2 11+ 13+  7  7
Curve Equation t 89232bc1 [0,-1,0,-90640,10483264] 1
89232bd (6 curves)	0	2- 3+ 11+ 13+	2- 3+  2  0 11+ 13+ -6 -4
Curve Equation t 89232bd1 [0,-1,0,-64952,-9118032] 2 89232bd2 [0,-1,0,-1160072,-480457680] 4 89232bd3 [0,-1,0,-1281752,-373379280] 4 89232bd4 [0,-1,0,-18560312,-30770795472] 2 89232bd5 [0,-1,0,3626008,-2548498512] 2 89232bd6 [0,-1,0,-8136392,8652810672] 2
89232be (2 curves)	0	2- 3+ 11+ 13+	2- 3+  3  5 11+ 13+  0  2
Curve Equation t 89232be1 [0,-1,0,35096,5624176] 1 89232be2 [0,-1,0,-1668424,831490672] 1
89232bf (2 curves)	0	2- 3+ 11+ 13+	2- 3+ -3 -4 11+ 13+  3 -7
Curve Equation t 89232bf1 [0,-1,0,-923472,-336688704] 1 89232bf2 [0,-1,0,-7778112,8190483456] 1
89232bg (1 curve)	1	2- 3+ 11+ 13-	2- 3+ -1  1 11+ 13- -4  0
Curve Equation t Generators 89232bg1 [0,-1,0,-8896,-416768] 1 [256:-3744:1]
89232bh (2 curves)	1	2- 3+ 11- 13+	2- 3+  1  1 11- 13+  4  6
Curve Equation t Generators 89232bh1 [0,-1,0,-15613980360,-751756082792976] 1 [5238536661965577:794772598613000436:33792250337] 89232bh2 [0,-1,0,44218752600,47180208739068144] 1 [-551324042263471754966730539395281383121782653159397523839155543914528650128818735:322619516061935154765580115882594240298444235174190595756291118661203325824612108692:2225326816719106506284121276201025380667747983929307850186829414675665366409]
89232bi (1 curve)	1	2- 3+ 11- 13+	2- 3+ -1  2 11- 13+  1 -4
Curve Equation t Generators 89232bi1 [0,-1,0,-316,-2276] 1 [170:99:8]
89232bj (1 curve)	1	2- 3+ 11- 13+	2- 3+ -1  2 11- 13+  7 -7
Curve Equation t Generators 89232bj1 [0,-1,0,-15318216,22970458224] 1 [61103704962:329341912498:29503629]
89232bk (1 curve)	1	2- 3+ 11- 13+	2- 3+ -1 -2 11- 13+ -3 -1
Curve Equation t Generators 89232bk1 [0,-1,0,-1616,-8256] 1 [-8:64:1]
89232bl (2 curves)	1	2- 3+ 11- 13+	2- 3+  2 -2 11- 13+  0  2
Curve Equation t Generators 89232bl1 [0,-1,0,-18477,-39874680] 2 [457214325827405746678930031647796:12162036773456188950682765014987945:575168599537695385126839450944] 89232bl2 [0,-1,0,-1866492,-969795828] 2 [11942044017949327:608031969188741578:3665798805059]
89232bm (2 curves)	1	2- 3+ 11- 13+	2- 3+  2  4 11- 13+  0  2
Curve Equation t Generators 89232bm1 [0,-1,0,-17632,1300480] 2 [165:1690:1] 89232bm2 [0,-1,0,-315072,68164992] 2 [618:53235:8]
89232bn (2 curves)	1	2- 3+ 11- 13+	2- 3+ -2 -2 11- 13+  4 -6
Curve Equation t Generators 89232bn1 [0,-1,0,451,1884] 2 [44:324:1] 89232bn2 [0,-1,0,-2084,18108] 2 [61:338:1]
89232bo (2 curves)	1	2- 3+ 11- 13+	2- 3+ -2  4 11- 13+ -8 -6
Curve Equation t Generators 89232bo1 [0,-1,0,-897784,840056944] 2 [-422268:3027968:343] 89232bo2 [0,-1,0,-19933944,34221867120] 2 [2652:1344:1]
89232bp (2 curves)	1	2- 3+ 11- 13+	2- 3+  3  4 11- 13+  3  7
Curve Equation t Generators 89232bp1 [0,-1,0,-5464,-151568] 1 [-46:18:1] 89232bp2 [0,-1,0,-46024,3742192] 1 [74:858:1]
89232bq (2 curves)	1	2- 3+ 11- 13+	2- 3+ -3 -1 11- 13+  0  2
Curve Equation t Generators 89232bq1 [0,-1,0,-281179552,-1814686456064] 1 [88240:25698816:1] 89232bq2 [0,-1,0,-218270992,-2648115120704] 1 [604354888:176500506624:6859]
89232br (4 curves)	1	2- 3+ 11- 13+	2- 3+  4 -2 11- 13+ -2  0
Curve Equation t Generators 89232br1 [0,-1,0,-121736,-11876112] 2 [9530519900:110764162816:20796875] 89232br2 [0,-1,0,310904,-77637392] 2 [1959452:79509600:1331] 89232br3 [0,-1,0,-27215816,54657812208] 2 [-5438:204490:1] 89232br4 [0,-1,0,-27188776,54771812848] 2 [3052:14520:1]
89232bs (2 curves)	1	2- 3+ 11- 13+	2- 3+ -4 -4 11- 13+  4 -4
Curve Equation t Generators 89232bs1 [0,-1,0,-2760,973296] 2 [-30:1014:1] 89232bs2 [0,-1,0,-165000,25633776] 2 [74:3718:1]
89232bt (1 curve)	0	2- 3+ 11- 13-	2- 3+  1 -1 11- 13- -4  0
Curve Equation t 89232bt1 [0,-1,0,-1503480,-921653136] 1
89232bu (2 curves)	1	2- 3- 11+ 13+	2- 3-  0 -2 11+ 13+ -2  6
Curve Equation t Generators 89232bu1 [0,1,0,-90133,-10435606] 2 [4426:83655:8] 89232bu2 [0,1,0,-112948,-4768360] 2 [1655:65910:1]
89232bv (1 curve)	1	2- 3- 11+ 13+	2- 3-  1 -2 11+ 13+  5  5
Curve Equation t Generators 89232bv1 [0,1,0,-69840,-6635628] 1 [-174:528:1]
89232bw (1 curve)	1	2- 3- 11+ 13+	2- 3- -1  0 11+ 13+ -1 -4
Curve Equation t Generators 89232bw1 [0,1,0,168944,30885908] 1 [68:-6534:1]
89232bx (1 curve)	1	2- 3- 11+ 13+	2- 3- -1 -3 11+ 13+  5  2
Curve Equation t Generators 89232bx1 [0,1,0,324424,157703508] 1 [-313614:81957552:6859]
89232by (1 curve)	1	2- 3- 11+ 13+	2- 3-  2  3 11+ 13+  2 -4
Curve Equation t Generators 89232by1 [0,1,0,-4405717,-3561125437] 1 [3524382440:826453005741:64000]
89232bz (1 curve)	1	2- 3- 11+ 13+	2- 3- -2  1 11+ 13+  2 -4
Curve Equation t Generators 89232bz1 [0,1,0,304651,9122595] 1 [8090:294195:8]
89232ca (2 curves)	1	2- 3- 11+ 13+	2- 3- -2  2 11+ 13+ -4 -2
Curve Equation t Generators 89232ca1 [0,1,0,-13069,-672814] 2 [7046:591408:1] 89232ca2 [0,1,0,-218404,-39357928] 2 [563:4056:1]
89232cb (4 curves)	1	2- 3- 11+ 13+	2- 3- -2  4 11+ 13+  2 -4
Curve Equation t Generators 89232cb1 [0,1,0,-2885224,-1884795340] 2 [180763658:4576180224:79507] 89232cb2 [0,1,0,-3750504,-661981644] 4 [7566:635712:1] 89232cb3 [0,1,0,14528536,-5202495180] 2 [862:89232:1] 89232cb4 [0,1,0,-35874024,82152452916] 2 [2829372:202221690:343]
89232cc (1 curve)	1	2- 3- 11+ 13+	2- 3- -2  4 11+ 13+ -4 -1
Curve Equation t Generators 89232cc1 [0,1,0,5456,631892] 1 [434:9216:1]
89232cd (4 curves)	1	2- 3- 11+ 13+	2- 3- -2 -4 11+ 13+  2  4
Curve Equation t Generators 89232cd1 [0,1,0,-5464,-4588] 2 [502:11136:1] 89232cd2 [0,1,0,-59544,5554836] 4 [-204:3042:1] 89232cd3 [0,1,0,-32504,10649172] 2 [94:-2904:1] 89232cd4 [0,1,0,-951864,357128916] 2 [2084:86190:1]
89232ce (1 curve)	1	2- 3- 11+ 13+	2- 3-  3  1 11+ 13+ -8 -6
Curve Equation t Generators 89232ce1 [0,1,0,-1546744,-16722113836] 1 [567820:33073638:125]
89232cf (1 curve)	1	2- 3- 11+ 13+	2- 3- -3  1 11+ 13+  7 -6
Curve Equation t Generators 89232cf1 [0,1,0,-472,5396] 1 [-10:96:1]
89232cg (2 curves)	0	2- 3- 11+ 13-	2- 3-  0  0 11+ 13-  0  0
Curve Equation t 89232cg1 [0,1,0,-9208,-1190188] 2 89232cg2 [0,1,0,-233848,-43512364] 2
89232ch (2 curves)	0	2- 3- 11- 13+	2- 3-  0  0 11- 13+ -4 -8
Curve Equation t 89232ch1 [0,1,0,5352,-188460] 2 89232ch2 [0,1,0,-35208,-1924428] 2
89232ci (1 curve)	0	2- 3- 11- 13+	2- 3-  1  0 11- 13+ -1  4
Curve Equation t 89232ci1 [0,1,0,28551480,67742133876] 1
89232cj (1 curve)	0	2- 3- 11- 13+	2- 3-  1  3 11- 13+  5 -2
Curve Equation t 89232cj1 [0,1,0,1920,72372] 1
89232ck (1 curve)	0	2- 3- 11- 13+	2- 3-  1 -3 11- 13+ -4 -2
Curve Equation t 89232ck1 [0,1,0,-124440,-17807724] 1
89232cl (1 curve)	0	2- 3- 11- 13+	2- 3- -1  2 11- 13+  5 -5
Curve Equation t 89232cl1 [0,1,0,-11803016,-14531262732] 1
89232cm (4 curves)	0	2- 3- 11- 13+	2- 3-  2  0 11- 13+  6  0
Curve Equation t 89232cm1 [0,1,0,-416472,-120408300] 2 89232cm2 [0,1,0,-6960152,-7069796460] 4 89232cm3 [0,1,0,-7257592,-6432917932] 2 89232cm4 [0,1,0,-111361592,-452362818348] 2
89232cn (1 curve)	0	2- 3- 11- 13+	2- 3-  2 -1 11- 13+  2  4
Curve Equation t 89232cn1 [0,1,0,1803,4707] 1
89232co (4 curves)	0	2- 3- 11- 13+	2- 3-  2  4 11- 13+ -2  0
Curve Equation t 89232co1 [0,1,0,-17632,887732] 2 89232co2 [0,1,0,-31152,-675180] 4 89232co3 [0,1,0,117568,-5136780] 2 89232co4 [0,1,0,-396192,-96023628] 2
89232cp (1 curve)	0	2- 3- 11- 13+	2- 3-  2 -4 11- 13+ -4  1
Curve Equation t 89232cp1 [0,1,0,922008,1384578612] 1
89232cq (4 curves)	0	2- 3- 11- 13+	2- 3- -2  0 11- 13+  2  4
Curve Equation t 89232cq1 [0,1,0,14816,15521780] 2 89232cq2 [0,1,0,-850464,293449716] 4 89232cq3 [0,1,0,-2040224,-710231820] 2 89232cq4 [0,1,0,-13505184,19098363636] 4
89232cr (1 curve)	0	2- 3- 11- 13+	2- 3- -2 -3 11- 13+  2  4
Curve Equation t 89232cr1 [0,1,0,-26069,-1628925] 1
89232cs (1 curve)	0	2- 3- 11- 13+	2- 3-  3 -1 11- 13+  7  6
Curve Equation t 89232cs1 [0,1,0,-79824,12174228] 1
89232ct (2 curves)	0	2- 3- 11- 13+	2- 3- -4  0 11- 13+  0  0
Curve Equation t 89232ct1 [0,1,0,-6221960,5997678324] 2 89232ct2 [0,1,0,-99672200,382975946484] 2
89232cu (2 curves)	1	2- 3- 11- 13-	2- 3-  0  0 11- 13-  0  0
Curve Equation t Generators 89232cu1 [0,1,0,-1556208,-2608618284] 2 [6546:517440:1] 89232cu2 [0,1,0,-39520368,-95438582316] 2 [1015980:43364706:125]

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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