Cremona's table of elliptic curves

65790 = 2 · 3² · 5 · 17 · 43

Class	r	Atkin-Lehner	Eigenvalues
65790a (1 curve)	1	2+ 3+ 5+ 17+ 43+	2+ 3+ 5+ -3 -4  5 17+  2
Curve Equation t Generators 65790a1 [1,-1,0,-960,12050] 1 [13:34:1]
65790b (2 curves)	2	2+ 3+ 5+ 17+ 43-	2+ 3+ 5+ -2  0  2 17+ -2
Curve Equation t Generators 65790b1 [1,-1,0,-5550,-102700] 2 [-52:234:1]&[-410:1905:8] 65790b2 [1,-1,0,16050,-720460] 2 [83:1044:1]&[113:1533:1]
65790c (1 curve)	0	2+ 3+ 5+ 17+ 43-	2+ 3+ 5+  3 -5 -5 17+  0
Curve Equation t 65790c1 [1,-1,0,-13515,-1593019] 1
65790d (1 curve)	1	2+ 3+ 5+ 17- 43-	2+ 3+ 5+  0  3  5 17- -6
Curve Equation t Generators 65790d1 [1,-1,0,-436335,-111730609] 1 [83668:2478535:64]
65790e (2 curves)	0	2+ 3+ 5- 17+ 43+	2+ 3+ 5-  0 -4  2 17+  2
Curve Equation t 65790e1 [1,-1,0,-2024664,-1108337680] 2 65790e2 [1,-1,0,-2092164,-1030429180] 2
65790f (1 curve)	0	2+ 3+ 5- 17+ 43+	2+ 3+ 5-  1  1  2 17+ -8
Curve Equation t 65790f1 [1,-1,0,-144,5888] 1
65790g (1 curve)	1	2+ 3+ 5- 17+ 43-	2+ 3+ 5-  0 -1 -1 17+ -6
Curve Equation t Generators 65790g1 [1,-1,0,351,-4795] 1 [31:-203:1]
65790h (1 curve)	1	2+ 3+ 5- 17+ 43-	2+ 3+ 5-  3 -4 -1 17+ -6
Curve Equation t Generators 65790h1 [1,-1,0,-18774,995060] 1 [79:-23:1]
65790i (1 curve)	1	2+ 3+ 5- 17+ 43-	2+ 3+ 5- -3  1 -2 17+  0
Curve Equation t Generators 65790i1 [1,-1,0,-474,5030] 1 [1:67:1]
65790j (1 curve)	1	2+ 3+ 5- 17- 43+	2+ 3+ 5-  1  4 -1 17- -2
Curve Equation t Generators 65790j1 [1,-1,0,3816,-5560] 1 [211:3082:1]
65790k (1 curve)	1	2+ 3+ 5- 17- 43+	2+ 3+ 5- -2  2 -5 17- -5
Curve Equation t Generators 65790k1 [1,-1,0,-17214,-895852] 1 [844:23770:1]
65790l (1 curve)	1	2+ 3+ 5- 17- 43+	2+ 3+ 5-  3  3 -5 17-  4
Curve Equation t Generators 65790l1 [1,-1,0,-53681199,-151371122995] 1 [125194811942633:9569988256287521:10749963743]
65790m (1 curve)	0	2+ 3+ 5- 17- 43-	2+ 3+ 5-  0 -3  5 17-  6
Curve Equation t 65790m1 [1,-1,0,-1678389,837429173] 1
65790n (2 curves)	0	2+ 3+ 5- 17- 43-	2+ 3+ 5- -1  3  5 17-  8
Curve Equation t 65790n1 [1,-1,0,-129,1935] 3 65790n2 [1,-1,0,1146,-47620] 1
65790o (2 curves)	0	2+ 3+ 5- 17- 43-	2+ 3+ 5-  2  6 -1 17-  5
Curve Equation t 65790o1 [1,-1,0,-178370589,916968058245] 3 65790o2 [1,-1,0,-150683964,1211176131920] 1
65790p (1 curve)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+ -3  2  1 17+ -2
Curve Equation t 65790p1 [1,-1,0,-131265,-14750019] 1
65790q (2 curves)	2	2+ 3- 5+ 17+ 43+	2+ 3- 5+ -4  0  2 17+  0
Curve Equation t Generators 65790q1 [1,-1,0,-2250,40000] 2 [50:-250:1]&[-49:200:1] 65790q2 [1,-1,0,-6120,-131054] 2 [-63:70:1]&[-25:89:1]
65790r (1 curve)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+  5  6 -7 17+ -6
Curve Equation t 65790r1 [1,-1,0,-798954480,8691954177280] 1
65790s (2 curves)	1	2+ 3- 5+ 17+ 43-	2+ 3- 5+  2 -2 -6 17+ -4
Curve Equation t Generators 65790s1 [1,-1,0,-144855,-20120675] 2 [3305:187010:1] 65790s2 [1,-1,0,102825,-81991139] 2 [88851:5070262:27]
65790t (1 curve)	1	2+ 3- 5+ 17+ 43-	2+ 3- 5+ -3  2 -5 17+  7
Curve Equation t Generators 65790t1 [1,-1,0,1634040,2915358016] 1 [1037:75140:1]
65790u (4 curves)	1	2+ 3- 5+ 17- 43+	2+ 3- 5+ -4  0 -2 17-  0
Curve Equation t Generators 65790u1 [1,-1,0,-7290,-236444] 2 [-48:58:1] 65790u2 [1,-1,0,-11790,93856] 4 [-78:770:1] 65790u3 [1,-1,0,46260,709186] 2 [57:1850:1] 65790u4 [1,-1,0,-141840,20563726] 2 [245:566:1]
65790v (1 curve)	0	2+ 3- 5+ 17- 43-	2+ 3- 5+  1  1 -5 17-  6
Curve Equation t 65790v1 [1,-1,0,-1209015,-571477019] 1
65790w (2 curves)	0	2+ 3- 5+ 17- 43-	2+ 3- 5+  2  4 -6 17-  4
Curve Equation t 65790w1 [1,-1,0,-506205,131192325] 2 65790w2 [1,-1,0,393795,546452325] 2
65790x (1 curve)	0	2+ 3- 5+ 17- 43-	2+ 3- 5+  5 -2 -1 17-  3
Curve Equation t 65790x1 [1,-1,0,-194490,35873050] 1
65790y (1 curve)	1	2+ 3- 5- 17+ 43+	2+ 3- 5- -1 -6  3 17+  2
Curve Equation t Generators 65790y1 [1,-1,0,-144,40] 1 [-1:14:1]
65790z (1 curve)	1	2+ 3- 5- 17+ 43+	2+ 3- 5-  4  4 -1 17+ -5
Curve Equation t Generators 65790z1 [1,-1,0,13611,-101827] 1 [77:1144:1]
65790ba (1 curve)	0	2+ 3- 5- 17+ 43-	2+ 3- 5-  1  5 -3 17+ -6
Curve Equation t 65790ba1 [1,-1,0,-450729,-116360897] 1
65790bb (1 curve)	0	2+ 3- 5- 17+ 43-	2+ 3- 5-  4  5  3 17+  0
Curve Equation t 65790bb1 [1,-1,0,-62379,10263685] 1
65790bc (1 curve)	0	2+ 3- 5- 17- 43+	2+ 3- 5- -1 -3 -2 17- -2
Curve Equation t 65790bc1 [1,-1,0,-48117744,139452798208] 1
65790bd (1 curve)	0	2+ 3- 5- 17- 43+	2+ 3- 5-  5 -6  1 17-  1
Curve Equation t 65790bd1 [1,-1,0,-91044,10599088] 1
65790be (1 curve)	1	2+ 3- 5- 17- 43-	2+ 3- 5-  1  4 -5 17-  0
Curve Equation t Generators 65790be1 [1,-1,0,-1550889,667732045] 1 [521:707:1]
65790bf (2 curves)	1	2+ 3- 5- 17- 43-	2+ 3- 5- -1 -3  2 17-  2
Curve Equation t Generators 65790bf1 [1,-1,0,-8514,-301860] 1 [6630:186225:8] 65790bf2 [1,-1,0,23076,-1627182] 3 [93:1101:1]
65790bg (1 curve)	0	2- 3+ 5+ 17+ 43+	2- 3+ 5+  1 -4 -1 17+ -2
Curve Equation t 65790bg1 [1,-1,1,34342,115777] 1
65790bh (1 curve)	2	2- 3+ 5+ 17+ 43+	2- 3+ 5+ -2 -2 -5 17+ -5
Curve Equation t Generators 65790bh1 [1,-1,1,-1913,33817] 1 [-47:158:1]&[23:28:1]
65790bi (1 curve)	0	2- 3+ 5+ 17+ 43+	2- 3+ 5+  3 -3 -5 17+  4
Curve Equation t 65790bi1 [1,-1,1,-5964578,5608326081] 1
65790bj (1 curve)	1	2- 3+ 5+ 17+ 43-	2- 3+ 5+  0  3  5 17+  6
Curve Equation t Generators 65790bj1 [1,-1,1,-186488,-30953733] 1 [557:5865:1]
65790bk (2 curves)	1	2- 3+ 5+ 17+ 43-	2- 3+ 5+ -1 -3  5 17+  8
Curve Equation t Generators 65790bk1 [1,-1,1,127,1721] 3 [177:2266:1] 65790bk2 [1,-1,1,-1163,-51083] 1 [121782232:1525913333:681472]
65790bl (2 curves)	1	2- 3+ 5+ 17+ 43-	2- 3+ 5+  2 -6 -1 17+  5
Curve Equation t Generators 65790bl1 [1,-1,1,-16742663,-44852794369] 3 [256435:129712062:1] 65790bl2 [1,-1,1,-1605335303,-24756532237313] 1 [55523:7540238:1]
65790bm (2 curves)	1	2- 3+ 5+ 17- 43+	2- 3+ 5+  0  4  2 17-  2
Curve Equation t Generators 65790bm1 [1,-1,1,-224963,41124531] 2 [-475:6612:1] 65790bm2 [1,-1,1,-232463,38241531] 2 [-477:6596:1]
65790bn (1 curve)	1	2- 3+ 5+ 17- 43+	2- 3+ 5+  1 -1  2 17- -8
Curve Equation t Generators 65790bn1 [1,-1,1,-1298,-157679] 1 [241:3551:1]
65790bo (1 curve)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+  0  1 -1 17- -6
Curve Equation t 65790bo1 [1,-1,1,3157,126307] 1
65790bp (1 curve)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+  3  4 -1 17- -6
Curve Equation t 65790bp1 [1,-1,1,-168968,-26697653] 1
65790bq (1 curve)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+ -3 -1 -2 17-  0
Curve Equation t 65790bq1 [1,-1,1,-53,-169] 1
65790br (1 curve)	0	2- 3+ 5- 17+ 43-	2- 3+ 5-  0 -3  5 17+ -6
Curve Equation t 65790br1 [1,-1,1,-48482,4154331] 1
65790bs (1 curve)	0	2- 3+ 5- 17- 43+	2- 3+ 5- -3  4  5 17-  2
Curve Equation t 65790bs1 [1,-1,1,-107,-411] 1
65790bt (2 curves)	1	2- 3+ 5- 17- 43-	2- 3+ 5- -2  0  2 17- -2
Curve Equation t Generators 65790bt1 [1,-1,1,-617,4009] 2 [-1:68:1] 65790bt2 [1,-1,1,1783,26089] 2 [19:-268:1]
65790bu (1 curve)	1	2- 3+ 5- 17- 43-	2- 3+ 5-  3  5 -5 17-  0
Curve Equation t Generators 65790bu1 [1,-1,1,-1502,59501] 1 [-39:259:1]
65790bv (2 curves)	1	2- 3- 5+ 17+ 43+	2- 3- 5+  0  0 -2 17+  4
Curve Equation t Generators 65790bv1 [1,-1,1,-338,717] 2 [-66:459:8] 65790bv2 [1,-1,1,-4208,105981] 2 [510:2191:8]
65790bw (4 curves)	1	2- 3- 5+ 17+ 43+	2- 3- 5+  0 -4 -2 17+  4
Curve Equation t Generators 65790bw1 [1,-1,1,-22568,393707] 2 [-147:793:1] 65790bw2 [1,-1,1,-206888,-35880469] 4 [-275:537:1] 65790bw3 [1,-1,1,-60008,-85937173] 2 [643:11553:1] 65790bw4 [1,-1,1,-3302888,-2309582869] 2 [-1049:537:1]
65790bx (1 curve)	1	2- 3- 5+ 17+ 43+	2- 3- 5+  3  6  1 17+ -5
Curve Equation t Generators 65790bx1 [1,-1,1,-16448,-1129629] 1 [221:2337:1]
65790by (1 curve)	1	2- 3- 5+ 17+ 43+	2- 3- 5+ -5  4  1 17+  4
Curve Equation t Generators 65790by1 [1,-1,1,-398,-1169] 1 [-106:373:8]
65790bz (1 curve)	0	2- 3- 5+ 17+ 43-	2- 3- 5+  1  2 -5 17+  6
Curve Equation t 65790bz1 [1,-1,1,-77603,7843331] 1
65790ca (1 curve)	2	2- 3- 5+ 17+ 43-	2- 3- 5+ -2 -4 -3 17+ -5
Curve Equation t Generators 65790ca1 [1,-1,1,21082,-439243] 1 [254:3959:8]&[303:-5957:1]
65790cb (1 curve)	0	2- 3- 5+ 17+ 43-	2- 3- 5+  3 -3 -1 17+  6
Curve Equation t 65790cb1 [1,-1,1,2677,-621669] 1
65790cc (1 curve)	0	2- 3- 5+ 17- 43+	2- 3- 5+  3  0 -1 17-  4
Curve Equation t 65790cc1 [1,-1,1,-18183848,-16086411669] 1
65790cd (1 curve)	0	2- 3- 5+ 17- 43+	2- 3- 5+  3  4  5 17-  2
Curve Equation t 65790cd1 [1,-1,1,-34988,184702767] 1
65790ce (1 curve)	0	2- 3- 5+ 17- 43+	2- 3- 5+  3 -6  5 17-  7
Curve Equation t 65790ce1 [1,-1,1,9922,111147] 1
65790cf (1 curve)	0	2- 3- 5+ 17- 43+	2- 3- 5+ -3  3 -1 17- -2
Curve Equation t 65790cf1 [1,-1,1,-8351438,-9388311843] 1
65790cg (1 curve)	1	2- 3- 5+ 17- 43-	2- 3- 5+ -2  4  1 17-  3
Curve Equation t Generators 65790cg1 [1,-1,1,742,-60519] 1 [45:227:1]
65790ch (1 curve)	1	2- 3- 5+ 17- 43-	2- 3- 5+  3 -4  3 17- -2
Curve Equation t Generators 65790ch1 [1,-1,1,-123863,17458031] 1 [-117:5566:1]
65790ci (1 curve)	1	2- 3- 5+ 17- 43-	2- 3- 5+ -3  2  1 17-  3
Curve Equation t Generators 65790ci1 [1,-1,1,-24413,1506917] 1 [75:-344:1]
65790cj (1 curve)	0	2- 3- 5- 17+ 43+	2- 3- 5-  1  4 -1 17+ -8
Curve Equation t 65790cj1 [1,-1,1,-659470322,6512115652921] 1
65790ck (4 curves)	1	2- 3- 5- 17+ 43-	2- 3- 5-  0 -4  2 17+  0
Curve Equation t Generators 65790ck1 [1,-1,1,493,2611] 2 [-1:46:1] 65790ck2 [1,-1,1,-2387,24499] 4 [-43:236:1] 65790ck3 [1,-1,1,-17867,-898109] 2 [-79:164:1] 65790ck4 [1,-1,1,-32987,2313379] 2 [109:8:1]
65790cl (1 curve)	1	2- 3- 5- 17+ 43-	2- 3- 5-  3  0 -1 17+ -6
Curve Equation t Generators 65790cl1 [1,-1,1,-3407,68631] 1 [11:-186:1]
65790cm (2 curves)	1	2- 3- 5- 17+ 43-	2- 3- 5- -4  3  5 17+  8
Curve Equation t Generators 65790cm1 [1,-1,1,-2057,-40399] 1 [105:892:1] 65790cm2 [1,-1,1,14008,171659] 3 [-3:361:1]
65790cn (1 curve)	1	2- 3- 5- 17- 43+	2- 3- 5-  1  0 -7 17-  8
Curve Equation t Generators 65790cn1 [1,-1,1,-2426537021252,1454013688868476679] 1 [860937:54840781:1]
65790co (1 curve)	1	2- 3- 5- 17- 43+	2- 3- 5-  1  4  5 17- -8
Curve Equation t Generators 65790co1 [1,-1,1,-3962,92089] 1 [19:-163:1]
65790cp (1 curve)	1	2- 3- 5- 17- 43+	2- 3- 5- -1  1 -1 17- -6
Curve Equation t Generators 65790cp1 [1,-1,1,-392,3179] 1 [9:-23:1]
65790cq (1 curve)	1	2- 3- 5- 17- 43+	2- 3- 5- -1 -5  2 17-  6
Curve Equation t Generators 65790cq1 [1,-1,1,-490847,-212351929] 1 [3411:-196106:1]
65790cr (1 curve)	1	2- 3- 5- 17- 43+	2- 3- 5- -2  0 -7 17- -7
Curve Equation t Generators 65790cr1 [1,-1,1,-617,-7891] 1 [39:142:1]
65790cs (4 curves)	1	2- 3- 5- 17- 43+	2- 3- 5-  4  0  2 17- -4
Curve Equation t Generators 65790cs1 [1,-1,1,-997052,390204911] 4 [2959:151299:1] 65790cs2 [1,-1,1,-16030832,24708847439] 4 [74388:5558749:64] 65790cs3 [1,-1,1,-16108862,24456217511] 2 [1689717197630:56040418187307:456533000] 65790cs4 [1,-1,1,-256493282,1581174193799] 2 [807133052:2850455997:85184]
65790ct (4 curves)	1	2- 3- 5- 17- 43+	2- 3- 5-  4 -4 -2 17-  0
Curve Equation t Generators 65790ct1 [1,-1,1,-6324647,5459236319] 4 [-2781:40558:1] 65790ct2 [1,-1,1,-24756647,-41675074081] 4 [-3581:34158:1] 65790ct3 [1,-1,1,38228953,-219218883361] 2 [207879:94716478:1] 65790ct4 [1,-1,1,-382654247,-2880948314401] 2 [-11321:10938:1]
65790cu (1 curve)	1	2- 3- 5- 17- 43+	2- 3- 5- -4  0 -7 17-  3
Curve Equation t Generators 65790cu1 [1,-1,1,-617,6729] 1 [9:-48:1]
65790cv (4 curves)	0	2- 3- 5- 17- 43-	2- 3- 5-  0  4 -2 17-  0
Curve Equation t 65790cv1 [1,-1,1,4447093,-6743993061] 2 65790cv2 [1,-1,1,-38068187,-75941862789] 4 65790cv3 [1,-1,1,-174755687,817611662211] 4 65790cv4 [1,-1,1,-581625167,-5398669233741] 2
65790cw (1 curve)	0	2- 3- 5- 17- 43-	2- 3- 5-  1  4  7 17- -6
Curve Equation t 65790cw1 [1,-1,1,-1075847,-430291929] 1
65790cx (2 curves)	0	2- 3- 5- 17- 43-	2- 3- 5- -1  0  5 17-  2
Curve Equation t 65790cx1 [1,-1,1,-617,-3301] 1 65790cx2 [1,-1,1,-21902,1252901] 3
65790cy (1 curve)	0	2- 3- 5- 17- 43-	2- 3- 5-  3  2 -5 17-  6
Curve Equation t 65790cy1 [1,-1,1,-12632,549389] 1
65790cz (1 curve)	0	2- 3- 5- 17- 43-	2- 3- 5-  4  0  5 17-  7
Curve Equation t 65790cz1 [1,-1,1,960838,-672401159] 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