Cremona's table of elliptic curves

37026 = 2 · 3² · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
37026a (2 curves)	1	2+ 3+ 11+ 17+	2+ 3+  0  4 11+ -4 17+  0
Curve Equation t Generators 37026a1 [1,-1,0,-18717,-533835] 2 [162:735:1] 37026a2 [1,-1,0,61143,-3935871] 2 [32430:2052159:8]
37026b (2 curves)	1	2+ 3+ 11+ 17+	2+ 3+  0 -4 11+  4 17+  0
Curve Equation t Generators 37026b1 [1,-1,0,-1392,-10576] 2 [-19:103:1] 37026b2 [1,-1,0,4548,-80668] 2 [89:967:1]
37026c (2 curves)	2	2+ 3+ 11- 17+	2+ 3+  0 -4 11- -4 17+  4
Curve Equation t Generators 37026c1 [1,-1,0,-4197,98753] 2 [-47:460:1]&[-8:367:1] 37026c2 [1,-1,0,-65907,6528935] 2 [157:-260:1]&[1222:113:8]
37026d (2 curves)	0	2+ 3- 11+ 17+	2+ 3-  0 -2 11+ -4 17+  0
Curve Equation t 37026d1 [1,-1,0,-1112169042,14275913072724] 2 37026d2 [1,-1,0,-17794603602,913655988584532] 2
37026e (2 curves)	0	2+ 3- 11+ 17+	2+ 3-  2  4 11+  2 17+  8
Curve Equation t 37026e1 [1,-1,0,-410031,-12273255] 2 37026e2 [1,-1,0,1626399,-99025173] 2
37026f (2 curves)	1	2+ 3- 11- 17+	2+ 3-  0  2 11-  2 17+  4
Curve Equation t Generators 37026f1 [1,-1,0,-35052,-279856] 2 [-4920:7276:27] 37026f2 [1,-1,0,139188,-2335888] 2 [421:11224:1]
37026g (4 curves)	1	2+ 3- 11- 17+	2+ 3-  0 -2 11- -2 17+  4
Curve Equation t Generators 37026g1 [1,-1,0,-278262,56546100] 2 [292:210:1] 37026g2 [1,-1,0,-234702,74815164] 2 [-459:9486:1] 37026g3 [1,-1,0,-817317,-214814187] 2 [48945696:1402107351:32768] 37026g4 [1,-1,0,1970523,-1363961835] 2 [42726:3193365:8]
37026h (1 curve)	1	2+ 3- 11- 17+	2+ 3- -1 -1 11- -6 17+  3
Curve Equation t Generators 37026h1 [1,-1,0,-2250,-40716] 1 [177:2166:1]
37026i (1 curve)	1	2+ 3- 11- 17+	2+ 3- -1 -3 11-  4 17+ -5
Curve Equation t Generators 37026i1 [1,-1,0,-2745,-21957611] 1 [89447:26706692:1]
37026j (4 curves)	1	2+ 3- 11- 17+	2+ 3-  2  0 11- -2 17+  4
Curve Equation t Generators 37026j1 [1,-1,0,-7259841,5665976509] 2 [-1435:115292:1] 37026j2 [1,-1,0,-107970561,431813317117] 4 [30161850:7487875943:15625] 37026j3 [1,-1,0,-99824841,499707893317] 2 [1961:557132:1] 37026j4 [1,-1,0,-1727487801,27636140011189] 2 [4787965557075:-63521893479644:190109375]
37026k (2 curves)	1	2+ 3- 11- 17+	2+ 3-  2  2 11-  0 17+ -6
Curve Equation t Generators 37026k1 [1,-1,0,-595161,173070189] 2 [-150:16167:1] 37026k2 [1,-1,0,-1335681,-342776043] 2 [-10221:286348:27]
37026l (2 curves)	1	2+ 3- 11- 17+	2+ 3- -2  2 11-  0 17+  2
Curve Equation t Generators 37026l1 [1,-1,0,-288063,-2869619] 2 [894:-21743:1] 37026l2 [1,-1,0,-3250143,-2248718675] 2 [-1009:2138:1]
37026m (4 curves)	1	2+ 3- 11- 17+	2+ 3- -2 -4 11- -6 17+ -4
Curve Equation t Generators 37026m1 [1,-1,0,-9016398,-9374186156] 2 [-1297:12353:1] 37026m2 [1,-1,0,-34194078,66919219780] 4 [4511:64448:1] 37026m3 [1,-1,0,55779102,359601974320] 2 [-3717:319516:1] 37026m4 [1,-1,0,-527010138,4656712312984] 2 [13313:-667:1]
37026n (2 curves)	1	2+ 3- 11- 17+	2+ 3-  3  1 11-  4 17+ -5
Curve Equation t Generators 37026n1 [1,-1,0,3987,475173] 1 [564:45465:64] 37026n2 [1,-1,0,-36108,-13309488] 1 [112615023948:27312567967725:1906624]
37026o (1 curve)	1	2+ 3- 11- 17+	2+ 3- -3 -1 11- -4 17+  7
Curve Equation t Generators 37026o1 [1,-1,0,-6,-82] 1 [7:10:1]
37026p (2 curves)	1	2+ 3- 11- 17+	2+ 3-  4  2 11-  6 17+ -4
Curve Equation t Generators 37026p1 [1,-1,0,-2745,35833] 2 [-36:313:1] 37026p2 [1,-1,0,8145,242743] 2 [179:2633:1]
37026q (1 curve)	1	2+ 3- 11- 17+	2+ 3- -4  0 11-  4 17+  8
Curve Equation t Generators 37026q1 [1,-1,0,45171,5833669] 1 [-103:335:1]
37026r (2 curves)	0	2+ 3- 11- 17-	2+ 3-  0  4 11-  4 17-  4
Curve Equation t 37026r1 [1,-1,0,-1557,-24381] 1 37026r2 [1,-1,0,-127782,-17549460] 1
37026s (1 curve)	0	2+ 3- 11- 17-	2+ 3- -4  4 11-  0 17-  0
Curve Equation t 37026s1 [1,-1,0,954486,-18057034836] 1
37026t (2 curves)	1	2- 3+ 11+ 17-	2- 3+  0  4 11+ -4 17-  0
Curve Equation t Generators 37026t1 [1,-1,1,-168455,14581999] 2 [-247:6532:1] 37026t2 [1,-1,1,550285,105718231] 2 [391703:-31994464:2197]
37026u (2 curves)	1	2- 3+ 11+ 17-	2- 3+  0 -4 11+  4 17-  0
Curve Equation t Generators 37026u1 [1,-1,1,-155,443] 2 [1:16:1] 37026u2 [1,-1,1,505,2819] 2 [3:64:1]
37026v (2 curves)	0	2- 3+ 11- 17-	2- 3+  0 -4 11- -4 17-  4
Curve Equation t 37026v1 [1,-1,1,-37775,-2628557] 2 37026v2 [1,-1,1,-593165,-175688081] 2
37026w (2 curves)	0	2- 3- 11+ 17-	2- 3-  0  2 11+  4 17-  0
Curve Equation t 37026w1 [1,-1,1,-9191480,-10723198021] 2 37026w2 [1,-1,1,-147062840,-686403159109] 2
37026x (2 curves)	0	2- 3- 11+ 17-	2- 3-  2 -4 11+ -2 17- -8
Curve Equation t 37026x1 [1,-1,1,-3389,10145] 2 37026x2 [1,-1,1,13441,70733] 2
37026y (4 curves)	0	2- 3- 11- 17+	2- 3-  0 -2 11-  4 17+ -8
Curve Equation t 37026y1 [1,-1,1,-223732895,-1275017552377] 2 37026y2 [1,-1,1,-45311135,-3252715708921] 2 37026y3 [1,-1,1,-18071484575,-935054150461945] 2 37026y4 [1,-1,1,-18071310335,-935073083171257] 2
37026z (2 curves)	0	2- 3- 11- 17+	2- 3-  0 -2 11- -4 17+  8
Curve Equation t 37026z1 [1,-1,1,-215645,38596385] 2 37026z2 [1,-1,1,-204755,42660533] 2
37026ba (4 curves)	0	2- 3- 11- 17+	2- 3-  0  4 11- -2 17+  4
Curve Equation t 37026ba1 [1,-1,1,-3290,45785] 2 37026ba2 [1,-1,1,-46850,3913913] 2 37026ba3 [1,-1,1,-112190,-14433559] 2 37026ba4 [1,-1,1,-123080,-11454055] 2
37026bb (2 curves)	0	2- 3- 11- 17+	2- 3-  0 -4 11- -4 17+ -4
Curve Equation t 37026bb1 [1,-1,1,-188420,33016349] 1 37026bb2 [1,-1,1,-15461645,23404716173] 3
37026bc (2 curves)	0	2- 3- 11- 17+	2- 3-  2  0 11-  4 17+  4
Curve Equation t 37026bc1 [1,-1,1,-9824,-179517] 2 37026bc2 [1,-1,1,33736,-1364349] 2
37026bd (2 curves)	0	2- 3- 11- 17+	2- 3-  2  4 11-  4 17+  8
Curve Equation t 37026bd1 [1,-1,1,-984479,373248263] 2 37026bd2 [1,-1,1,-287519,890950151] 2
37026be (2 curves)	0	2- 3- 11- 17+	2- 3- -4  2 11-  0 17+  0
Curve Equation t 37026be1 [1,-1,1,-213467,-37884085] 2 37026be2 [1,-1,1,-169907,-53827045] 2
37026bf (1 curve)	0	2- 3- 11- 17+	2- 3- -4 -4 11-  0 17+  0
Curve Equation t 37026bf1 [1,-1,1,115492783,24033566888345] 1
37026bg (1 curve)	1	2- 3- 11- 17-	2- 3- -1  1 11-  6 17- -3
Curve Equation t Generators 37026bg1 [1,-1,1,-272273,55009793] 1 [333:-1256:1]
37026bh (1 curve)	1	2- 3- 11- 17-	2- 3- -1  3 11- -4 17-  5
Curve Equation t Generators 37026bh1 [1,-1,1,-23,16503] 1 [-19:108:1]
37026bi (6 curves)	1	2- 3- 11- 17-	2- 3-  2  0 11-  2 17-  4
Curve Equation t Generators 37026bi1 [1,-1,1,-309299,50228115] 4 [-525:8490:1] 37026bi2 [1,-1,1,-1703219,-813444717] 4 [-813:6186:1] 37026bi3 [1,-1,1,1171741,-3282460365] 2 [8033:720168:1] 37026bi4 [1,-1,1,-26880899,-53636217357] 4 [-2991:1830:1] 37026bi5 [1,-1,1,-26510639,-55185829509] 2 [34035:-6219208:1] 37026bi6 [1,-1,1,-430094039,-3433046186325] 2 [-3601110171:1800452384:300763]
37026bj (6 curves)	1	2- 3- 11- 17-	2- 3-  2  0 11-  2 17- -4
Curve Equation t Generators 37026bj1 [1,-1,1,-37049,2554841] 2 [-107:2352:1] 37026bj2 [1,-1,1,-124169,-13858567] 4 [-179:1704:1] 37026bj3 [1,-1,1,246091,-80949679] 2 [162755:-6263014:125] 37026bj4 [1,-1,1,-1888349,-998271007] 4 [-3878533:1491450:4913] 37026bj5 [1,-1,1,-1790339,-1106591659] 2 [12894:104627:8] 37026bj6 [1,-1,1,-30213239,-63913516675] 2 [-3137210802554626:1568388741136809:988643265128]
37026bk (2 curves)	1	2- 3- 11- 17-	2- 3- -2  2 11- -4 17-  2
Curve Equation t Generators 37026bk1 [1,-1,1,-448436066,-3513135473823] 2 [-11791:373311:1] 37026bk2 [1,-1,1,-1206728546,11501662264161] 2 [18072551:-3337982871:343]
37026bl (2 curves)	1	2- 3- 11- 17-	2- 3- -2  2 11- -4 17- -2
Curve Equation t Generators 37026bl1 [1,-1,1,-13091,470495] 2 [-41:988:1] 37026bl2 [1,-1,1,-198221,34016051] 2 [3038:27759:8]
37026bm (4 curves)	1	2- 3- 11- 17-	2- 3- -2 -4 11-  2 17-  4
Curve Equation t Generators 37026bm1 [1,-1,1,-6367406,-4834656835] 2 [-1767:30835:1] 37026bm2 [1,-1,1,-95578286,-359608484419] 4 [-5639:-1965:1] 37026bm3 [1,-1,1,-89305646,-408851217475] 2 [13599:937363:1] 37026bm4 [1,-1,1,-1529225006,-23016961247299] 2 [-274696429:137377101:12167]
37026bn (4 curves)	1	2- 3- 11- 17-	2- 3- -2 -4 11-  2 17- -4
Curve Equation t Generators 37026bn1 [1,-1,1,-421466,105416457] 2 [135:7071:1] 37026bn2 [1,-1,1,-443246,93934041] 4 [117:6549:1] 37026bn3 [1,-1,1,874444,545111097] 2 [-20620:980577:64] 37026bn4 [1,-1,1,-2109416,-1092378999] 2 [-2011590:22193683:2744]
37026bo (2 curves)	1	2- 3- 11- 17-	2- 3-  3 -1 11- -4 17-  5
Curve Equation t Generators 37026bo1 [1,-1,1,482404,-633902497] 1 [149445:5003753:125] 37026bo2 [1,-1,1,-4369091,17728035779] 3 [2511:149026:1]
37026bp (1 curve)	1	2- 3- 11- 17-	2- 3- -3  1 11-  4 17- -7
Curve Equation t Generators 37026bp1 [1,-1,1,-749,111367] 1 [916:20093:64]
37026bq (1 curve)	1	2- 3- 11- 17-	2- 3- -4  0 11- -4 17- -8
Curve Equation t Generators 37026bq1 [1,-1,1,373,-4485] 1 [17:72:1]

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