Cremona's table of elliptic curves

104742 = 2 · 3² · 11 · 23²

Class	r	Atkin-Lehner	Eigenvalues
104742a (4 curves)	2	2+ 3+ 11+ 23-	2+ 3+  0 -2 11+  2 -6 -2
Curve Equation t Generators 104742a1 [1,-1,0,-46122,-3775068] 2 [-129:189:1]&[-116:122:1] 104742a2 [1,-1,0,-77862,2109528] 2 [-132:3240:1]&[-17:1860:1] 104742a3 [1,-1,0,-307977,63510029] 2 [-574:7423:1]&[-109:9841:1] 104742a4 [1,-1,0,-4878537,4148676557] 2 [-2294:58279:1]&[-431:78772:1]
104742b (2 curves)	0	2+ 3+ 11+ 23-	2+ 3+  0 -2 11+ -6  2  6
Curve Equation t 104742b1 [1,-1,0,-915991107,-10670276625787] 2 104742b2 [1,-1,0,-916276767,-10663288182415] 2
104742c (1 curve)	0	2+ 3+ 11+ 23-	2+ 3+  0  3 11+ -1  2 -4
Curve Equation t 104742c1 [1,-1,0,-395262,95753108] 1
104742d (2 curves)	0	2+ 3+ 11+ 23-	2+ 3+  4  2 11+  2  6  2
Curve Equation t 104742d1 [1,-1,0,-1750560,-890694352] 2 104742d2 [1,-1,0,-2036220,-580181932] 2
104742e (2 curves)	1	2+ 3+ 11- 23-	2+ 3+  0  1 11- -1 -6  4
Curve Equation t Generators 104742e1 [1,-1,0,17358,-1308870] 1 [4215:271650:1] 104742e2 [1,-1,0,-165147,48198653] 1 [-17:7150:1]
104742f (2 curves)	1	2+ 3+ 11- 23-	2+ 3+  2  4 11- -6  4  0
Curve Equation t Generators 104742f1 [1,-1,0,6249,-37683] 2 [81:957:1] 104742f2 [1,-1,0,-25491,-285255] 2 [420:7725:1]
104742g (2 curves)	1	2+ 3- 11+ 23-	2+ 3-  0  2 11+  2 -8  6
Curve Equation t Generators 104742g1 [1,-1,0,199863,-20520563] 2 [1198:27967:8] 104742g2 [1,-1,0,-942777,-176605187] 2 [36526:2390803:8]
104742h (1 curve)	1	2+ 3- 11+ 23-	2+ 3-  2 -1 11+  5  4  4
Curve Equation t Generators 104742h1 [1,-1,0,20394,-1279476] 1 [11805:1276773:1]
104742i (2 curves)	1	2+ 3- 11+ 23-	2+ 3-  2  2 11+  2 -2 -2
Curve Equation t Generators 104742i1 [1,-1,0,-12726,633204] 2 [60:-318:1] 104742i2 [1,-1,0,-211446,37475892] 2 [-431:7173:1]
104742j (1 curve)	1	2+ 3- 11+ 23-	2+ 3-  2 -3 11+  1  2 -4
Curve Equation t Generators 104742j1 [1,-1,0,-15161414121,720121383516109] 1 [1484270857026300070:1099230127366616982913:2588282117000]
104742k (4 curves)	1	2+ 3- 11+ 23-	2+ 3-  2  4 11+ -6  2 -4
Curve Equation t Generators 104742k1 [1,-1,0,-9621,8869] 2 [110:467:1] 104742k2 [1,-1,0,-104841,-12998183] 4 [1697:67664:1] 104742k3 [1,-1,0,-57231,-24891161] 2 [26436275:1060189124:15625] 104742k4 [1,-1,0,-1675971,-834699173] 2 [663537:18949244:343]
104742l (1 curve)	1	2+ 3- 11+ 23-	2+ 3- -2  2 11+  6  5  3
Curve Equation t Generators 104742l1 [1,-1,0,-161973,33822549] 1 [77835:4101664:27]
104742m (1 curve)	1	2+ 3- 11+ 23-	2+ 3-  3  0 11+ -1  2  8
Curve Equation t Generators 104742m1 [1,-1,0,-9287223,13573552157] 1 [4982:299073:1]
104742n (1 curve)	1	2+ 3- 11+ 23-	2+ 3-  3 -3 11+ -5 -3  0
Curve Equation t Generators 104742n1 [1,-1,0,-4653,-29403] 1 [-63:135:1]
104742o (2 curves)	1	2+ 3- 11+ 23-	2+ 3- -3  1 11+ -7 -3 -8
Curve Equation t Generators 104742o1 [1,-1,0,-604746,95939316] 1 [75:7104:1] 104742o2 [1,-1,0,-22886226,-42132264372] 1 [-6099873:5885112:2197]
104742p (1 curve)	1	2+ 3- 11+ 23-	2+ 3- -3 -1 11+ -1  7  6
Curve Equation t Generators 104742p1 [1,-1,0,-858679776,9646255952896] 1 [609893190:9163753481:39304]
104742q (1 curve)	1	2+ 3- 11+ 23-	2+ 3- -3  3 11+ -1 -1  2
Curve Equation t Generators 104742q1 [1,-1,0,-17556,-539704] 1 [-109:319:1]
104742r (1 curve)	1	2+ 3- 11+ 23-	2+ 3- -3 -3 11+  1 -3 -4
Curve Equation t Generators 104742r1 [1,-1,0,-2818611,-1818626477] 1 [-7634:13339:8]
104742s (1 curve)	0	2+ 3- 11- 23-	2+ 3- -1  1 11- -3 -5  6
Curve Equation t 104742s1 [1,-1,0,-409545,98381709] 1
104742t (1 curve)	0	2+ 3- 11- 23-	2+ 3- -1 -1 11-  1  7  0
Curve Equation t 104742t1 [1,-1,0,-314325,-63159021] 1
104742u (1 curve)	0	2+ 3- 11- 23-	2+ 3- -1  3 11-  1 -1 -4
Curve Equation t 104742u1 [1,-1,0,-12050190,14940898132] 1
104742v (1 curve)	0	2+ 3- 11- 23-	2+ 3- -1  5 11- -5  1  6
Curve Equation t 104742v1 [1,-1,0,-103485195,288089938629] 1
104742w (1 curve)	0	2+ 3- 11- 23-	2+ 3-  2  1 11-  3 -2  0
Curve Equation t 104742w1 [1,-1,0,-57231,-5569965] 1
104742x (1 curve)	0	2+ 3- 11- 23-	2+ 3-  2 -2 11-  6 -5 -3
Curve Equation t 104742x1 [1,-1,0,-306,-2700] 1
104742y (4 curves)	0	2+ 3- 11- 23-	2+ 3-  2 -4 11- -2 -2  0
Curve Equation t 104742y1 [1,-1,0,-790026156,14177483380944] 2 104742y2 [1,-1,0,-14830786476,694949363800272] 4 104742y3 [1,-1,0,-17042937516,473972729682384] 2 104742y4 [1,-1,0,-237270800556,44485157855631312] 2
104742z (1 curve)	0	2+ 3- 11- 23-	2+ 3- -2  1 11-  5 -4 -4
Curve Equation t 104742z1 [1,-1,0,10788327,15502654341] 1
104742ba (2 curves)	0	2+ 3- 11- 23-	2+ 3- -2 -2 11-  2  2  2
Curve Equation t 104742ba1 [1,-1,0,-6732153,-7663800339] 2 104742ba2 [1,-1,0,-111855033,-455298047955] 2
104742bb (1 curve)	2	2+ 3- 11- 23-	2+ 3- -3  0 11- -1 -2 -8
Curve Equation t Generators 104742bb1 [1,-1,0,-17556,-1111024] 1 [160:316:1]&[512:10876:1]
104742bc (1 curve)	0	2+ 3- 11- 23-	2+ 3- -3  3 11- -5  3  0
Curve Equation t 104742bc1 [1,-1,0,-2461536,372515328] 1
104742bd (4 curves)	0	2+ 3- 11- 23-	2+ 3- -4  2 11-  4 -2  0
Curve Equation t 104742bd1 [1,-1,0,-214344,27895104] 2 104742bd2 [1,-1,0,547416,181008864] 2 104742bd3 [1,-1,0,-47919564,-127666409796] 2 104742bd4 [1,-1,0,-47871954,-127932787746] 2
104742be (2 curves)	1	2- 3+ 11+ 23-	2- 3+  0  1 11+ -1  6  4
Curve Equation t Generators 104742be1 [1,-1,1,-18350,-1779019] 1 [12606:492011:8] 104742be2 [1,-1,1,156220,35183269] 1 [263805195302:10635865562863:170031464]
104742bf (2 curves)	1	2- 3+ 11+ 23-	2- 3+ -2  4 11+ -6 -4  0
Curve Equation t Generators 104742bf1 [1,-1,1,56239,961201] 2 [2303776:73976707:32768] 104742bf2 [1,-1,1,-229421,7931305] 2 [-2666:56345:8]
104742bg (4 curves)	0	2- 3+ 11- 23-	2- 3+  0 -2 11-  2  6 -2
Curve Equation t 104742bg1 [1,-1,1,-34220,-2340817] 2 104742bg2 [1,-1,1,-542060,-153474001] 2 104742bg3 [1,-1,1,-415100,102341935] 2 104742bg4 [1,-1,1,-700760,-56256497] 2
104742bh (2 curves)	0	2- 3+ 11- 23-	2- 3+  0 -2 11- -6 -2  6
Curve Equation t 104742bh1 [1,-1,1,-101776790,395229356181] 2 104742bh2 [1,-1,1,-101808530,394970535525] 2
104742bi (1 curve)	0	2- 3+ 11- 23-	2- 3+  0  3 11- -1 -2 -4
Curve Equation t 104742bi1 [1,-1,1,-3557360,-2581776557] 1
104742bj (2 curves)	0	2- 3+ 11- 23-	2- 3+ -4  2 11-  2 -6  2
Curve Equation t 104742bj1 [1,-1,1,-194507,33053515] 2 104742bj2 [1,-1,1,-226247,21563635] 2
104742bk (1 curve)	0	2- 3- 11+ 23-	2- 3-  0  0 11+  2 -1  5
Curve Equation t 104742bk1 [1,-1,1,-65,-935] 1
104742bl (4 curves)	0	2- 3- 11+ 23-	2- 3-  0 -2 11+ -4 -6  4
Curve Equation t 104742bl1 [1,-1,1,-26285,1553681] 2 104742bl2 [1,-1,1,21325,6524165] 2 104742bl3 [1,-1,1,-383360,-90914461] 2 104742bl4 [1,-1,1,-192920,-181411549] 2
104742bm (1 curve)	0	2- 3- 11+ 23-	2- 3-  0 -4 11+  0  5 -3
Curve Equation t 104742bm1 [1,-1,1,-764240,-314254029] 1
104742bn (1 curve)	0	2- 3- 11+ 23-	2- 3-  1  1 11+  3  3  6
Curve Equation t 104742bn1 [1,-1,1,-226247,-41266753] 1
104742bo (1 curve)	0	2- 3- 11+ 23-	2- 3-  1 -1 11+ -5  3  0
Curve Equation t 104742bo1 [1,-1,1,-2225867,-1276775877] 1
104742bp (1 curve)	0	2- 3- 11+ 23-	2- 3-  1  2 11+  1  6  0
Curve Equation t 104742bp1 [1,-1,1,41608453,1262382925803] 1
104742bq (1 curve)	0	2- 3- 11+ 23-	2- 3-  1 -2 11+ -3  6  0
Curve Equation t 104742bq1 [1,-1,1,-3722,-88243] 1
104742br (1 curve)	0	2- 3- 11+ 23-	2- 3- -1 -1 11+ -1  1  4
Curve Equation t 104742br1 [1,-1,1,-873743,277986863] 1
104742bs (1 curve)	0	2- 3- 11+ 23-	2- 3- -1 -1 11+ -1  1  4
Curve Equation t 104742bs1 [1,-1,1,-27575708,-36934186017] 1
104742bt (1 curve)	0	2- 3- 11+ 23-	2- 3- -1 -1 11+  5  7  4
Curve Equation t 104742bt1 [1,-1,1,-1238,-16437] 1
104742bu (1 curve)	0	2- 3- 11+ 23-	2- 3- -2 -2 11+ -4  3 -5
Curve Equation t 104742bu1 [1,-1,1,294289,9607177] 1
104742bv (2 curves)	0	2- 3- 11+ 23-	2- 3- -3  1 11+  5 -3 -2
Curve Equation t 104742bv1 [1,-1,1,-21803099,-31089937813] 1 104742bv2 [1,-1,1,-1662705554,-26095415146351] 1
104742bw (1 curve)	0	2- 3- 11+ 23-	2- 3- -3 -3 11+  5  5  2
Curve Equation t 104742bw1 [1,-1,1,-1383361814,19804294325629] 1
104742bx (2 curves)	0	2- 3- 11+ 23-	2- 3-  4 -2 11+ -6  0 -6
Curve Equation t 104742bx1 [1,-1,1,22431352,-48450295861] 2 104742bx2 [1,-1,1,-142108808,-478887354421] 2
104742by (1 curve)	0	2- 3- 11+ 23-	2- 3-  4  4 11+  6  3 -3
Curve Equation t 104742by1 [1,-1,1,-79898,8712569] 1
104742bz (1 curve)	1	2- 3- 11- 23-	2- 3-  0  0 11-  2  1 -5
Curve Equation t Generators 104742bz1 [1,-1,1,-34220,11578231] 1 [-2114:12691:8]
104742ca (1 curve)	1	2- 3- 11- 23-	2- 3-  0  4 11-  0 -5  3
Curve Equation t Generators 104742ca1 [1,-1,1,-1445,26205] 1 [15:-96:1]
104742cb (1 curve)	1	2- 3- 11- 23-	2- 3-  1  1 11- -1 -1 -4
Curve Equation t Generators 104742cb1 [1,-1,1,-1652,-22417] 1 [-17:31:1]
104742cc (1 curve)	1	2- 3- 11- 23-	2- 3-  1  1 11- -1 -1 -4
Curve Equation t Generators 104742cc1 [1,-1,1,-14587549367,449465766561807] 1 [-49329:32413218:1]
104742cd (1 curve)	1	2- 3- 11- 23-	2- 3-  1  1 11-  5 -7 -4
Curve Equation t Generators 104742cd1 [1,-1,1,-654737,203914167] 1 [-29697038:1111603131:54872]
104742ce (1 curve)	1	2- 3- 11- 23-	2- 3- -1 -1 11- -7  3  2
Curve Equation t Generators 104742ce1 [1,-1,1,-4452428,3613141423] 1 [-109:64063:1]
104742cf (1 curve)	1	2- 3- 11- 23-	2- 3- -1  2 11- -3 -6  0
Curve Equation t Generators 104742cf1 [1,-1,1,-1968773,1085461985] 1 [7710:68807:8]
104742cg (1 curve)	1	2- 3- 11- 23-	2- 3- -1 -2 11-  1 -6  0
Curve Equation t Generators 104742cg1 [1,-1,1,22010871802,-15359545123479147] 1 [222281:22597083:1]
104742ch (1 curve)	1	2- 3- 11- 23-	2- 3- -1  3 11-  1  3 -2
Curve Equation t Generators 104742ch1 [1,-1,1,-294746468,-1947577564537] 1 [-266937:268879:27]
104742ci (1 curve)	1	2- 3- 11- 23-	2- 3- -1  3 11-  1  3 -2
Curve Equation t Generators 104742ci1 [1,-1,1,-135788,19025493] 1 [-642:43695:8]
104742cj (4 curves)	1	2- 3- 11- 23-	2- 3-  2  0 11- -2 -6  4
Curve Equation t Generators 104742cj1 [1,-1,1,-330989,-133326507] 2 [8926:233583:8] 104742cj2 [1,-1,1,-6425069,-6263970987] 4 [33502:1588395:8] 104742cj3 [1,-1,1,-7567709,-3881338059] 2 [-1857:62292:1] 104742cj4 [1,-1,1,-102787709,-401080979595] 2 [10737510254:-1236108436461:551368]
104742ck (1 curve)	1	2- 3- 11- 23-	2- 3-  2  2 11- -4 -3  5
Curve Equation t Generators 104742ck1 [1,-1,1,556,-935] 1 [1460:8995:64]
104742cl (1 curve)	1	2- 3- 11- 23-	2- 3-  2 -3 11-  1  6  4
Curve Equation t Generators 104742cl1 [1,-1,1,49891,2410661] 1 [213:4654:1]
104742cm (1 curve)	1	2- 3- 11- 23-	2- 3- -2 -1 11-  7 -6  0
Curve Equation t Generators 104742cm1 [1,-1,1,54696649,3367477572495] 1 [34115:6686430:1]
104742cn (4 curves)	1	2- 3- 11- 23-	2- 3- -2 -4 11- -2  6  0
Curve Equation t Generators 104742cn1 [1,-1,1,-209919731,-1170585269805] 2 [-8341:4962:1] 104742cn2 [1,-1,1,-216013811,-1099009081389] 4 [-84362:670629:8] 104742cn3 [1,-1,1,290937469,-5486165458509] 2 [101494:3923109:8] 104742cn4 [1,-1,1,-820470371,7868950225395] 2 [-30818:26515131:8]
104742co (1 curve)	1	2- 3- 11- 23-	2- 3-  3  1 11-  3  1  0
Curve Equation t Generators 104742co1 [1,-1,1,-682210931,6858394381779] 1 [5072753:17964318:343]
104742cp (2 curves)	1	2- 3- 11- 23-	2- 3-  3 -5 11- -1 -3 -2
Curve Equation t Generators 104742cp1 [1,-1,1,-54851,3039113] 1 [2868:50905:64] 104742cp2 [1,-1,1,-1887836,-997770697] 1 [-6353820:6062837:8000]
104742cq (1 curve)	1	2- 3- 11- 23-	2- 3- -4 -4 11-  6 -3  3
Curve Equation t Generators 104742cq1 [1,-1,1,-42265877,-105752234995] 1 [9013471154893:3412932316442788:62570773]

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