Cremona's table of elliptic curves

54978 = 2 · 3 · 7² · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
54978a (1 curve)	1	2+ 3+ 7+ 11+ 17+	2+ 3+  1 7+ 11+  3 17+  4
Curve Equation t Generators 54978a1 [1,1,0,-4337,13413] 1 [118:-1137:1]
54978b (1 curve)	0	2+ 3+ 7+ 11+ 17-	2+ 3+  1 7+ 11+ -4 17- -1
Curve Equation t 54978b1 [1,1,0,-397072,339227722] 1
54978c (1 curve)	0	2+ 3+ 7+ 11+ 17-	2+ 3+ -3 7+ 11+ -4 17-  7
Curve Equation t 54978c1 [1,1,0,-59357204,182623604304] 1
54978d (1 curve)	0	2+ 3+ 7+ 11- 17+	2+ 3+  1 7+ 11- -1 17+ -4
Curve Equation t 54978d1 [1,1,0,-6922647,-7013469483] 1
54978e (1 curve)	0	2+ 3+ 7+ 11- 17+	2+ 3+ -1 7+ 11- -1 17+  4
Curve Equation t 54978e1 [1,1,0,-828223,92353129] 1
54978f (1 curve)	1	2+ 3+ 7+ 11- 17-	2+ 3+ -1 7+ 11- -4 17- -5
Curve Equation t Generators 54978f1 [1,1,0,367,-69201] 1 [185:2432:1]
54978g (2 curves)	0	2+ 3+ 7- 11+ 17+	2+ 3+  0 7- 11+ -2 17+  4
Curve Equation t 54978g1 [1,1,0,-75920870,-699250397292] 1 54978g2 [1,1,0,667968955,16626151916109] 1
54978h (4 curves)	2	2+ 3+ 7- 11+ 17+	2+ 3+ -2 7- 11+ -6 17+  4
Curve Equation t Generators 54978h1 [1,1,0,2964,24144] 2 [17:274:1]&[41:445:1] 54978h2 [1,1,0,-12716,184080] 4 [155:-1480:1]&[-834:5415:8] 54978h3 [1,1,0,-112676,-14470056] 2 [-1602:3495:8]&[-179:150:1] 54978h4 [1,1,0,-163636,25387720] 2 [-267:7214:1]&[27:4568:1]
54978i (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+  1 7- 11-  1 17+  4
Curve Equation t Generators 54978i1 [1,1,0,-22187,-1281027] 1 [-10930:5977:125]
54978j (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+ -1 7- 11- -4 17+  5
Curve Equation t Generators 54978j1 [1,1,0,17,-251] 1 [7:13:1]
54978k (2 curves)	2	2+ 3+ 7- 11- 17-	2+ 3+  0 7- 11- -2 17- -8
Curve Equation t Generators 54978k1 [1,1,0,-25,5461] 1 [-18:31:1]&[-11:73:1] 54978k2 [1,1,0,-24280,1446208] 1 [-144:1480:1]&[91:-71:1]
54978l (2 curves)	0	2+ 3+ 7- 11- 17-	2+ 3+  2 7- 11-  0 17- -6
Curve Equation t 54978l1 [1,1,0,-26779,-1661603] 2 54978l2 [1,1,0,-60099,3249765] 2
54978m (2 curves)	2	2+ 3+ 7- 11- 17-	2+ 3+ -3 7- 11- -5 17- -2
Curve Equation t Generators 54978m1 [1,1,0,2376,352836] 1 [27:-675:1]&[-22:550:1] 54978m2 [1,1,0,-312939,67272381] 1 [573:8460:1]&[318:-363:1]
54978n (2 curves)	1	2+ 3- 7+ 11+ 17-	2+ 3-  0 7+ 11+  2 17- -4
Curve Equation t Generators 54978n1 [1,0,1,-1549406,2038409552] 3 [-1275:44701:1] 54978n2 [1,0,1,13632019,-48470798680] 1 [4899:366190:1]
54978o (2 curves)	1	2+ 3- 7+ 11- 17+	2+ 3-  0 7+ 11-  2 17+  8
Curve Equation t Generators 54978o1 [1,0,1,-1251,-1876850] 3 [151:1100:1] 54978o2 [1,0,1,-1189746,-499618556] 1 [5101:352649:1]
54978p (1 curve)	0	2+ 3- 7+ 11- 17-	2+ 3-  1 7+ 11-  4 17- -5
Curve Equation t 54978p1 [1,0,1,807,88540] 1
54978q (1 curve)	0	2+ 3- 7+ 11- 17-	2+ 3- -1 7+ 11- -1 17- -4
Curve Equation t 54978q1 [1,0,1,-1087189,436130720] 1
54978r (2 curves)	1	2+ 3- 7- 11+ 17+	2+ 3-  0 7- 11+ -2 17+  2
Curve Equation t Generators 54978r1 [1,0,1,-13746,-606476] 2 [-76:63:1] 54978r2 [1,0,1,2914,-1979260] 2 [291:-4997:1]
54978s (1 curve)	1	2+ 3- 7- 11+ 17+	2+ 3-  1 7- 11+  5 17+ -2
Curve Equation t Generators 54978s1 [1,0,1,-1888,-178510] 1 [375:7015:1]
54978t (1 curve)	1	2+ 3- 7- 11+ 17+	2+ 3- -1 7- 11+  4 17+  1
Curve Equation t Generators 54978t1 [1,0,1,-8104,-990160] 1 [980020:120781361:64]
54978u (1 curve)	1	2+ 3- 7- 11+ 17+	2+ 3-  3 7- 11+  4 17+ -7
Curve Equation t Generators 54978u1 [1,0,1,-2908503022,-62648621785312] 1 [426213793166:208780902792127:1685159]
54978v (1 curve)	1	2+ 3- 7- 11+ 17+	2+ 3- -3 7- 11+  1 17+  2
Curve Equation t Generators 54978v1 [1,0,1,-165381690,818600411500] 1 [7613:-32031:1]
54978w (2 curves)	1	2+ 3- 7- 11+ 17+	2+ 3- -4 7- 11+  6 17+  6
Curve Equation t Generators 54978w1 [1,0,1,-181963,28785782] 2 [5538:5879:27] 54978w2 [1,0,1,84597,106088182] 2 [-409:1968:1]
54978x (1 curve)	2	2+ 3- 7- 11+ 17-	2+ 3- -1 7- 11+ -3 17- -4
Curve Equation t Generators 54978x1 [1,0,1,-89,-52] 1 [-9:10:1]&[-6:19:1]
54978y (4 curves)	0	2+ 3- 7- 11+ 17-	2+ 3-  2 7- 11+ -2 17-  0
Curve Equation t 54978y1 [1,0,1,-17960,-115594] 2 54978y2 [1,0,1,-210040,-36994954] 4 54978y3 [1,0,1,-134580,-63919082] 4 54978y4 [1,0,1,-3358780,-2369581546] 2
54978z (2 curves)	0	2+ 3- 7- 11+ 17-	2+ 3- -2 7- 11+  0 17-  2
Curve Equation t 54978z1 [1,0,1,-12962,26996] 2 54978z2 [1,0,1,-146242,21458420] 2
54978ba (1 curve)	0	2+ 3- 7- 11- 17+	2+ 3-  1 7- 11-  4 17+  5
Curve Equation t 54978ba1 [1,0,1,17957,23789840] 1
54978bb (2 curves)	0	2+ 3- 7- 11- 17+	2+ 3-  2 7- 11-  0 17+  0
Curve Equation t 54978bb1 [1,0,1,-5203140,-4464298814] 2 54978bb2 [1,0,1,943420,-14367636286] 2
54978bc (2 curves)	0	2+ 3- 7- 11- 17+	2+ 3-  2 7- 11-  4 17+ -8
Curve Equation t 54978bc1 [1,0,1,-120628765,509936156216] 2 54978bc2 [1,0,1,-120244605,513345499384] 2
54978bd (1 curve)	1	2+ 3- 7- 11- 17-	2+ 3-  1 7- 11-  1 17- -4
Curve Equation t Generators 54978bd1 [1,0,1,-16903,-271666] 1 [-107:614:1]
54978be (1 curve)	1	2+ 3- 7- 11- 17-	2+ 3- -1 7- 11-  1 17-  4
Curve Equation t Generators 54978be1 [1,0,1,-141279,20427250] 1 [167:1140:1]
54978bf (1 curve)	1	2+ 3- 7- 11- 17-	2+ 3- -1 7- 11-  1 17- -8
Curve Equation t Generators 54978bf1 [1,0,1,-2387404,-1501019110] 1 [2125:-56041:1]
54978bg (4 curves)	1	2+ 3- 7- 11- 17-	2+ 3-  2 7- 11- -2 17-  4
Curve Equation t Generators 54978bg1 [1,0,1,-326660,-54088702] 2 [-447:1855:1] 54978bg2 [1,0,1,-4858180,-4121581054] 4 [-1280:1022:1] 54978bg3 [1,0,1,-4491660,-4769588414] 2 [3032:95886:1] 54978bg4 [1,0,1,-77729020,-263774958142] 2 [-636280:318262:125]
54978bh (4 curves)	1	2+ 3- 7- 11- 17-	2+ 3- -2 7- 11- -6 17- -4
Curve Equation t Generators 54978bh1 [1,0,1,-405697,89459444] 2 [187:4394:1] 54978bh2 [1,0,1,-1538577,-638755820] 4 [-646:-8934:1] 54978bh3 [1,0,1,2509803,-3432138020] 2 [4646:-331746:1] 54978bh4 [1,0,1,-23713037,-44446618996] 2 [-2802:1846:1]
54978bi (1 curve)	1	2- 3+ 7- 11+ 17+	2- 3+  1 7- 11+  3 17+  4
Curve Equation t Generators 54978bi1 [1,1,1,-12300,-632787] 1 [181:1673:1]
54978bj (2 curves)	1	2- 3+ 7- 11+ 17+	2- 3+  2 7- 11+ -2 17+  4
Curve Equation t Generators 54978bj1 [1,1,1,-9997,-3022909] 2 [217:2146:1] 54978bj2 [1,1,1,-380437,-90002221] 2 [212345:-8177782:125]
54978bk (4 curves)	1	2- 3+ 7- 11+ 17+	2- 3+ -2 7- 11+  2 17+  4
Curve Equation t Generators 54978bk1 [1,1,1,-286504,46040105] 2 [-91:8493:1] 54978bk2 [1,1,1,-4300584,3430712361] 4 [1413:-14035:1] 54978bk3 [1,1,1,-4018344,3900811305] 2 [1161:-28903:1] 54978bk4 [1,1,1,-68808104,219659919401] 2 [4801:-931:1]
54978bl (2 curves)	1	2- 3+ 7- 11+ 17+	2- 3+ -2 7- 11+ -4 17+ -2
Curve Equation t Generators 54978bl1 [1,1,1,-589,-4705] 2 [-90:245:8] 54978bl2 [1,1,1,-8919,-327909] 2 [-11838:6575:216]
54978bm (2 curves)	1	2- 3+ 7- 11+ 17+	2- 3+  3 7- 11+  1 17+ -2
Curve Equation t Generators 54978bm1 [1,1,1,6825846,397859223] 1 [1693:-130501:1] 54978bm2 [1,1,1,-96332874,386341979799] 1 [6463127:-245353871:1331]
54978bn (2 curves)	0	2- 3+ 7- 11+ 17-	2- 3+  0 7- 11+  2 17- -6
Curve Equation t 54978bn1 [1,1,1,-129263,-17867851] 2 54978bn2 [1,1,1,-62623,-36180523] 2
54978bo (2 curves)	0	2- 3+ 7- 11+ 17-	2- 3+  2 7- 11+  4 17-  8
Curve Equation t 54978bo1 [1,1,1,-44297,-3578569] 2 54978bo2 [1,1,1,-12937,-8508361] 2
54978bp (2 curves)	0	2- 3+ 7- 11+ 17-	2- 3+ -2 7- 11+ -4 17-  0
Curve Equation t 54978bp1 [1,1,1,-545224,141811781] 2 54978bp2 [1,1,1,631266,671702877] 2
54978bq (6 curves)	0	2- 3+ 7- 11- 17+	2- 3+  2 7- 11-  2 17+  4
Curve Equation t 54978bq1 [1,1,1,-930217,-345686377] 2 54978bq2 [1,1,1,-992937,-296488809] 4 54978bq3 [1,1,1,2272423,-1833820297] 2 54978bq4 [1,1,1,-5261817,4390741431] 4 54978bq5 [1,1,1,4084443,18309191823] 2 54978bq6 [1,1,1,-82910157,290540403999] 2
54978br (4 curves)	1	2- 3+ 7- 11- 17-	2- 3+  0 7- 11-  4 17- -8
Curve Equation t Generators 54978br1 [1,1,1,-10066953,12165719607] 2 [1287:36008:1] 54978br2 [1,1,1,-2038793,31044740663] 2 [-2097:162616:1] 54978br3 [1,1,1,-813133833,8924310531639] 2 [16947:99612:1] 54978br4 [1,1,1,-813125993,8924491237367] 2 [27257:2634478:1]
54978bs (2 curves)	1	2- 3+ 7- 11- 17-	2- 3+  0 7- 11- -4 17-  8
Curve Equation t Generators 54978bs1 [1,1,1,-9703,-371911] 2 [125384:1711665:512] 54978bs2 [1,1,1,-9213,-410523] 2 [7566:227787:8]
54978bt (1 curve)	1	2- 3+ 7- 11- 17-	2- 3+  1 7- 11-  5 17-  0
Curve Equation t Generators 54978bt1 [1,1,1,-17181165,-27674116317] 1 [71917:19217660:1]
54978bu (1 curve)	1	2- 3+ 7- 11- 17-	2- 3+  3 7- 11- -1 17-  2
Curve Equation t Generators 54978bu1 [1,1,1,193941,-35644071] 1 [1987:-91546:1]
54978bv (2 curves)	1	2- 3+ 7- 11- 17-	2- 3+ -4 7- 11-  0 17-  0
Curve Equation t Generators 54978bv1 [1,1,1,-9605,358091] 2 [-43:854:1] 54978bv2 [1,1,1,-7645,510971] 2 [29:-576:1]
54978bw (6 curves)	0	2- 3- 7- 11+ 17+	2- 3-  2 7- 11+  2 17+  4
Curve Equation t 54978bw1 [1,0,0,-13917,-479823] 2 54978bw2 [1,0,0,-76637,7761585] 4 54978bw3 [1,0,0,52723,31330977] 2 54978bw4 [1,0,0,-1209517,511893185] 4 54978bw5 [1,0,0,-1192857,526683933] 2 54978bw6 [1,0,0,-19352257,32766056357] 2
54978bx (4 curves)	0	2- 3- 7- 11+ 17+	2- 3-  2 7- 11+ -2 17+  4
Curve Equation t 54978bx1 [1,0,0,-44787,-2340255] 2 54978bx2 [1,0,0,-295667,60128865] 4 54978bx3 [1,0,0,88493,205418177] 2 54978bx4 [1,0,0,-4693907,3913866753] 2
54978by (2 curves)	1	2- 3- 7- 11+ 17-	2- 3- -2 7- 11+  2 17- -4
Curve Equation t Generators 54978by1 [1,0,0,-204,8784] 2 [-6:102:1] 54978by2 [1,0,0,-7764,261288] 2 [18:348:1]
54978bz (4 curves)	1	2- 3- 7- 11- 17+	2- 3- -2 7- 11-  2 17+ -4
Curve Equation t Generators 54978bz1 [1,0,0,-18964,-1006720] 2 [176:968:1] 54978bz2 [1,0,0,-19944,-897156] 4 [-570:3519:8] 54978bz3 [1,0,0,39346,-5201610] 2 [4358:104543:8] 54978bz4 [1,0,0,-94914,10423314] 2 [2694:31323:8]
54978ca (2 curves)	1	2- 3- 7- 11- 17+	2- 3- -2 7- 11- -4 17+  2
Curve Equation t Generators 54978ca1 [1,0,0,-20177564,33530442000] 2 [-3272:255652:1] 54978ca2 [1,0,0,-54297244,-109779037936] 2 [-4360:212132:1]
54978cb (2 curves)	0	2- 3- 7- 11- 17-	2- 3-  2 7- 11-  4 17-  4
Curve Equation t 54978cb1 [1,0,0,-442,1700] 2 54978cb2 [1,0,0,1518,13068] 2
54978cc (4 curves)	0	2- 3- 7- 11- 17-	2- 3- -2 7- 11-  2 17-  8
Curve Equation t 54978cc1 [1,0,0,10681,991353] 4 54978cc2 [1,0,0,-107899,11924429] 4 54978cc3 [1,0,0,-447469,-103189801] 2 54978cc4 [1,0,0,-1665609,827229843] 2
54978cd (4 curves)	0	2- 3- 7- 11- 17-	2- 3- -2 7- 11- -2 17-  4
Curve Equation t 54978cd1 [1,0,0,-32929,-6218311] 4 54978cd2 [1,0,0,-747349,-248406691] 4 54978cd3 [1,0,0,-972259,-86606437] 2 54978cd4 [1,0,0,-11953159,-15907405585] 2

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