Cremona's table of elliptic curves

86730 = 2 · 3 · 5 · 7² · 59

Class	r	Atkin-Lehner	Eigenvalues
86730a (1 curve)	1	2+ 3+ 5+ 7+ 59+	2+ 3+ 5+ 7+ -1 -3 -2  1
Curve Equation t Generators 86730a1 [1,1,0,-70909983,-229861190313] 1 [53387565171714477:29405801964417495714:175521936799]
86730b (1 curve)	1	2+ 3+ 5+ 7+ 59+	2+ 3+ 5+ 7+  2  0 -2  1
Curve Equation t Generators 86730b1 [1,1,0,-858,7092] 1 [3:66:1]
86730c (1 curve)	0	2+ 3+ 5+ 7- 59+	2+ 3+ 5+ 7-  1  6  5 -5
Curve Equation t 86730c1 [1,1,0,-4288,-13122752] 1
86730d (2 curves)	0	2+ 3+ 5+ 7- 59+	2+ 3+ 5+ 7-  4  2  4  8
Curve Equation t 86730d1 [1,1,0,-5439858,-4885646688] 2 86730d2 [1,1,0,-5642228,-4502803122] 2
86730e (1 curve)	2	2+ 3+ 5+ 7- 59+	2+ 3+ 5+ 7- -5  2  7 -1
Curve Equation t Generators 86730e1 [1,1,0,-193,1093] 1 [-14:43:1]&[6:-17:1]
86730f (2 curves)	0	2+ 3+ 5+ 7- 59+	2+ 3+ 5+ 7- -6  6 -2  0
Curve Equation t 86730f1 [1,1,0,-18743,-995007] 2 86730f2 [1,1,0,-15313,-1366133] 2
86730g (4 curves)	1	2+ 3+ 5+ 7- 59-	2+ 3+ 5+ 7-  0  4 -6 -2
Curve Equation t Generators 86730g1 [1,1,0,-2568213,-1585052307] 2 [-18220194:1179937:19683] 86730g2 [1,1,0,-2356533,-1856891763] 2 [11282192865:-717814418527:2460375] 86730g3 [1,1,0,-5732388,2995700688] 2 [2253:37902:1] 86730g4 [1,1,0,18352092,21632271312] 2 [-421947:-75606947:729]
86730h (1 curve)	1	2+ 3+ 5+ 7- 59-	2+ 3+ 5+ 7- -1  6 -3  1
Curve Equation t Generators 86730h1 [1,1,0,13597,-802143] 1 [104:-1375:1]
86730i (1 curve)	1	2+ 3+ 5+ 7- 59-	2+ 3+ 5+ 7- -2 -1  3  2
Curve Equation t Generators 86730i1 [1,1,0,38587,-39642483] 1 [17852022:527401745:19683]
86730j (1 curve)	0	2+ 3+ 5- 7+ 59+	2+ 3+ 5- 7+  2 -4  6  1
Curve Equation t 86730j1 [1,1,0,-85925837,-294523140771] 1
86730k (1 curve)	0	2+ 3+ 5- 7+ 59+	2+ 3+ 5- 7+  5 -4 -6 -5
Curve Equation t 86730k1 [1,1,0,-907,-11969] 1
86730l (1 curve)	1	2+ 3+ 5- 7+ 59-	2+ 3+ 5- 7+  0 -2 -8  5
Curve Equation t Generators 86730l1 [1,1,0,-100377,6683391] 1 [-333:1989:1]
86730m (1 curve)	1	2+ 3+ 5- 7+ 59-	2+ 3+ 5- 7+ -5 -1  6 -1
Curve Equation t Generators 86730m1 [1,1,0,-22636702,-41463567116] 1 [61795:15283678:1]
86730n (1 curve)	1	2+ 3+ 5- 7- 59+	2+ 3+ 5- 7- -2 -3  5  6
Curve Equation t Generators 86730n1 [1,1,0,808,36] 1 [0:6:1]
86730o (2 curves)	1	2+ 3+ 5- 7- 59+	2+ 3+ 5- 7- -2  6  2  0
Curve Equation t Generators 86730o1 [1,1,0,-3278762,-2286496764] 2 [2092:2874:1] 86730o2 [1,1,0,-3220942,-2370948656] 2 [5088:333596:1]
86730p (4 curves)	1	2+ 3+ 5- 7- 59+	2+ 3+ 5- 7-  4 -6  2  0
Curve Equation t Generators 86730p1 [1,1,0,-21740492,71526225744] 2 [74430:6533979:8] 86730p2 [1,1,0,-423148492,3348540856144] 4 [797085380165752:55886490667224004:43949604889] 86730p3 [1,1,0,-499353292,2058835579984] 2 [5892614505018731980:-726324044153230447931:1551710174579648] 86730p4 [1,1,0,-6769471692,214375210637904] 2 [148877211615708165084300:1014416922723083345877141:3073594873698707392]
86730q (1 curve)	1	2+ 3+ 5- 7- 59+	2+ 3+ 5- 7- -5  3 -1 -6
Curve Equation t Generators 86730q1 [1,1,0,-54072,-224721216] 1 [73494:7004673:8]
86730r (1 curve)	1	2+ 3+ 5- 7- 59+	2+ 3+ 5- 7- -5 -6 -1  3
Curve Equation t Generators 86730r1 [1,1,0,-159177,-24593211] 1 [2610:130407:1]
86730s (2 curves)	0	2+ 3+ 5- 7- 59-	2+ 3+ 5- 7-  0 -6  4  4
Curve Equation t 86730s1 [1,1,0,-62647,3311701] 2 86730s2 [1,1,0,-872127,313018749] 2
86730t (2 curves)	0	2+ 3+ 5- 7- 59-	2+ 3+ 5- 7-  2  4 -6  6
Curve Equation t 86730t1 [1,1,0,-74652,5988816] 2 86730t2 [1,1,0,-403932,-93914736] 2
86730u (1 curve)	0	2+ 3+ 5- 7- 59-	2+ 3+ 5- 7-  3  6  1  1
Curve Equation t 86730u1 [1,1,0,973535810068,507252601076855376] 1
86730v (2 curves)	0	2+ 3+ 5- 7- 59-	2+ 3+ 5- 7- -3  4 -6  1
Curve Equation t 86730v1 [1,1,0,2623043,-20020748411] 1 86730v2 [1,1,0,-23631892,543730466896] 1
86730w (2 curves)	0	2+ 3+ 5- 7- 59-	2+ 3+ 5- 7-  6  4  6  7
Curve Equation t 86730w1 [1,1,0,-648022,-201039404] 1 86730w2 [1,1,0,-1387957,332892589] 1
86730x (2 curves)	0	2+ 3- 5+ 7+ 59+	2+ 3- 5+ 7+ -3 -4  6 -1
Curve Equation t 86730x1 [1,0,1,53531,58377176] 3 86730x2 [1,0,1,-482284,-1585288918] 1
86730y (2 curves)	0	2+ 3- 5+ 7+ 59+	2+ 3- 5+ 7+  6 -4 -6 -7
Curve Equation t 86730y1 [1,0,1,-31753104,68861256286] 3 86730y2 [1,0,1,-68009919,-114386187758] 1
86730z (4 curves)	1	2+ 3- 5+ 7- 59+	2+ 3- 5+ 7-  0  2 -2  4
Curve Equation t Generators 86730z1 [1,0,1,-23154,1225732] 2 [278:3897:1] 86730z2 [1,0,1,-85874,-8357884] 4 [-174:1237:1] 86730z3 [1,0,1,145406,-45547708] 2 [361:7169:1] 86730z4 [1,0,1,-1320674,-584268604] 2 [1404:17452:1]
86730ba (1 curve)	1	2+ 3- 5+ 7- 59+	2+ 3- 5+ 7-  0  2  8 -5
Curve Equation t Generators 86730ba1 [1,0,1,-2049,-19778] 1 [-22:132:1]
86730bb (2 curves)	1	2+ 3- 5+ 7- 59+	2+ 3- 5+ 7-  0  6 -4 -4
Curve Equation t Generators 86730bb1 [1,0,1,-1279,-9838] 2 [-20:98:1] 86730bb2 [1,0,1,-17799,-915134] 2 [-76:42:1]
86730bc (2 curves)	1	2+ 3- 5+ 7- 59+	2+ 3- 5+ 7-  2 -4  6 -6
Curve Equation t Generators 86730bc1 [1,0,1,-1524,-17678] 2 [158:1842:1] 86730bc2 [1,0,1,-8244,272626] 2 [-71:743:1]
86730bd (1 curve)	1	2+ 3- 5+ 7- 59+	2+ 3- 5+ 7-  3 -6 -1 -1
Curve Equation t Generators 86730bd1 [1,0,1,19868077756,-1478867718778558] 1 [156993:74148607:1]
86730be (1 curve)	1	2+ 3- 5+ 7- 59+	2+ 3- 5+ 7- -5  1 -6  1
Curve Equation t Generators 86730be1 [1,0,1,-1109198424,14218675925542] 1 [19228:-9526:1]
86730bf (1 curve)	0	2+ 3- 5+ 7- 59-	2+ 3- 5+ 7-  2  4 -6 -1
Curve Equation t 86730bf1 [1,0,1,-1753589,858417536] 1
86730bg (2 curves)	0	2+ 3- 5+ 7- 59-	2+ 3- 5+ 7- -2  2  2  0
Curve Equation t 86730bg1 [1,0,1,-935044,-221870974] 2 86730bg2 [1,0,1,2765436,-1542202238] 2
86730bh (1 curve)	0	2+ 3- 5+ 7- 59-	2+ 3- 5+ 7-  5  4  6  5
Curve Equation t 86730bh1 [1,0,1,-19,32] 1
86730bi (2 curves)	0	2+ 3- 5- 7- 59+	2+ 3- 5- 7-  0  2  0 -4
Curve Equation t 86730bi1 [1,0,1,-3603,-56402] 2 86730bi2 [1,0,1,10117,-380194] 2
86730bj (1 curve)	0	2+ 3- 5- 7- 59+	2+ 3- 5- 7-  3  2 -1  7
Curve Equation t 86730bj1 [1,0,1,-953638908,34516484437306] 1
86730bk (1 curve)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7- -1  3  2 -1
Curve Equation t Generators 86730bk1 [1,0,1,-1447143,669942508] 1 [194:19815:1]
86730bl (1 curve)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7-  2  0  2 -1
Curve Equation t Generators 86730bl1 [1,0,1,-42068,-2558734] 1 [-78:538:1]
86730bm (1 curve)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7- -2 -1 -7  6
Curve Equation t Generators 86730bm1 [1,0,1,-1643,942806] 1 [15:-968:1]
86730bn (2 curves)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7-  4 -2 -4 -8
Curve Equation t Generators 86730bn1 [1,0,1,-111018,14228008] 2 [134:1260:1] 86730bn2 [1,0,1,-115148,13111256] 2 [270:1177:1]
86730bo (2 curves)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7-  4 -4  2  6
Curve Equation t Generators 86730bo1 [1,0,1,-1939348,-114216994] 2 [-185:15527:1] 86730bo2 [1,0,1,7705322,-908937802] 2 [634:64730:1]
86730bp (4 curves)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7- -4 -2 -6 -4
Curve Equation t Generators 86730bp1 [1,0,1,-57993,-5241092] 2 [-136:435:1] 86730bp2 [1,0,1,-137373,12190756] 4 [620:-13173:1] 86730bp3 [1,0,1,413877,85617256] 2 [410:-18213:1] 86730bp4 [1,0,1,-1958703,1054720048] 2 [974:7950:1]
86730bq (1 curve)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7- -5 -2 -7  1
Curve Equation t Generators 86730bq1 [1,0,1,-9483,-403322] 1 [347:6000:1]
86730br (2 curves)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7- -6 -6  2  0
Curve Equation t Generators 86730br1 [1,0,1,-383,2846] 2 [-3:64:1] 86730br2 [1,0,1,-313,3938] 2 [4:-55:1]
86730bs (1 curve)	1	2- 3+ 5+ 7+ 59-	2- 3+ 5+ 7+  0 -2  0  1
Curve Equation t Generators 86730bs1 [1,1,1,-306006,-64493997] 1 [-323:1043:1]
86730bt (1 curve)	1	2- 3+ 5+ 7+ 59-	2- 3+ 5+ 7+ -1  1  2  7
Curve Equation t Generators 86730bt1 [1,1,1,31849,-781747] 1 [69:1288:1]
86730bu (1 curve)	1	2- 3+ 5+ 7+ 59-	2- 3+ 5+ 7+  3  5 -2 -5
Curve Equation t Generators 86730bu1 [1,1,1,-98698986,-645591505161] 1 [14377:945371:1]
86730bv (1 curve)	1	2- 3+ 5+ 7- 59+	2- 3+ 5+ 7-  0  2  0  7
Curve Equation t Generators 86730bv1 [1,1,1,-147940066,-692652134161] 1 [-56186:33597:8]
86730bw (1 curve)	1	2- 3+ 5+ 7- 59+	2- 3+ 5+ 7- -3 -1  0  1
Curve Equation t Generators 86730bw1 [1,1,1,-771,-57471] 1 [73:-568:1]
86730bx (2 curves)	1	2- 3+ 5+ 7- 59+	2- 3+ 5+ 7-  4  0  2 -2
Curve Equation t Generators 86730bx1 [1,1,1,-1716,19893] 2 [-1:147:1] 86730bx2 [1,1,1,4164,132789] 2 [83:987:1]
86730by (1 curve)	1	2- 3+ 5+ 7- 59+	2- 3+ 5+ 7- -5 -3 -4 -5
Curve Equation t Generators 86730by1 [1,1,1,-205900206,1137124467219] 1 [14071:1005935:1]
86730bz (2 curves)	0	2- 3+ 5+ 7- 59-	2- 3+ 5+ 7-  2 -2  6  0
Curve Equation t 86730bz1 [1,1,1,-9661,-369517] 2 86730bz2 [1,1,1,-9381,-391581] 2
86730ca (2 curves)	0	2- 3+ 5+ 7- 59-	2- 3+ 5+ 7-  2  6 -6  0
Curve Equation t 86730ca1 [1,1,1,-12894106,17472018983] 2 86730ca2 [1,1,1,1155174,53539330599] 2
86730cb (6 curves)	0	2- 3+ 5+ 7- 59-	2- 3+ 5+ 7-  4  2  6 -4
Curve Equation t 86730cb1 [1,1,1,152634,21412803] 2 86730cb2 [1,1,1,-850886,198835139] 4 86730cb3 [1,1,1,-5476486,-4785711421] 2 86730cb4 [1,1,1,-12281606,16558481603] 4 86730cb5 [1,1,1,-10958606,20266056803] 2 86730cb6 [1,1,1,-196496126,1060096894499] 2
86730cc (1 curve)	1	2- 3+ 5- 7+ 59+	2- 3+ 5- 7+  3  3  0  1
Curve Equation t Generators 86730cc1 [1,1,1,-504260,-205832635] 1 [3573:207073:1]
86730cd (4 curves)	0	2- 3+ 5- 7- 59+	2- 3+ 5- 7-  4  6 -6  4
Curve Equation t 86730cd1 [1,1,1,-151950,28632267] 4 86730cd2 [1,1,1,-2601950,1614272267] 4 86730cd3 [1,1,1,-2773450,1389127067] 2 86730cd4 [1,1,1,-41630450,103369377467] 2
86730ce (2 curves)	1	2- 3+ 5- 7- 59-	2- 3+ 5- 7-  3 -2  3  1
Curve Equation t Generators 86730ce1 [1,1,1,-1945840,-1045552495] 1 [1973:51933:1] 86730ce2 [1,1,1,-1619500,-1407158383] 1 [5837:430731:1]
86730cf (1 curve)	1	2- 3+ 5- 7- 59-	2- 3+ 5- 7- -3  5 -1  2
Curve Equation t Generators 86730cf1 [1,1,1,-35330,-5317873] 1 [297:3091:1]
86730cg (1 curve)	1	2- 3- 5+ 7- 59-	2- 3- 5+ 7-  1  5  3 -2
Curve Equation t Generators 86730cg1 [1,0,0,12739,587985] 1 [-2:751:1]
86730ch (1 curve)	1	2- 3- 5+ 7- 59-	2- 3- 5+ 7-  3 -3  0 -1
Curve Equation t Generators 86730ch1 [1,0,0,-10291,598625] 1 [-106:761:1]
86730ci (2 curves)	1	2- 3- 5+ 7- 59-	2- 3- 5+ 7- -6 -6  2  0
Curve Equation t Generators 86730ci1 [1,0,0,-62721,4234761] 2 [18:-1773:1] 86730ci2 [1,0,0,168559,28241625] 2 [88:-6659:1]
86730cj (1 curve)	1	2- 3- 5- 7+ 59-	2- 3- 5- 7+  0 -2  0 -7
Curve Equation t Generators 86730cj1 [1,0,0,-3019185,2018962665] 1 [522:23931:1]
86730ck (1 curve)	1	2- 3- 5- 7+ 59-	2- 3- 5- 7+ -3  1  0 -1
Curve Equation t Generators 86730ck1 [1,0,0,-37780,19599152] 1 [1964:-87712:1]
86730cl (1 curve)	1	2- 3- 5- 7+ 59-	2- 3- 5- 7+ -5  3  4  5
Curve Equation t Generators 86730cl1 [1,0,0,-4202045,-3315831975] 1 [2440:29755:1]
86730cm (1 curve)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  0  2  0 -1
Curve Equation t Generators 86730cm1 [1,0,0,-6245,187137] 1 [34:103:1]
86730cn (4 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  0 -2  2 -4
Curve Equation t Generators 86730cn1 [1,0,0,-7400,-32208] 4 [-62:466:1] 86730cn2 [1,0,0,-86780,-9827700] 4 [92404:3385513:64] 86730cn3 [1,0,0,-55910,-16909278] 2 [1346902419986:26816344317257:2373927704] 86730cn4 [1,0,0,-1387730,-629340090] 2 [-8275828030:4151740577:12167000]
86730co (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  0 -4 -6 -6
Curve Equation t Generators 86730co1 [1,0,0,-2010,-34560] 2 [5268:35733:64] 86730co2 [1,0,0,-540,-83658] 2 [3711348:26841421:46656]
86730cp (1 curve)	1	2- 3- 5- 7- 59+	2- 3- 5- 7- -1 -1 -2 -7
Curve Equation t Generators 86730cp1 [1,0,0,650,2372] 1 [62:500:1]
86730cq (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  2  2 -6  0
Curve Equation t Generators 86730cq1 [1,0,0,-473390,125324100] 2 [-290:15580:1] 86730cq2 [1,0,0,-459670,132933212] 2 [314:-4582:1]
86730cr (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  2 -6  6  0
Curve Equation t Generators 86730cr1 [1,0,0,-263145,-50976423] 2 [-318:915:1] 86730cr2 [1,0,0,23575,-156087975] 2 [2650:-137405:1]
86730cs (1 curve)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  3 -5  2  5
Curve Equation t Generators 86730cs1 [1,0,0,-2014265,1881903225] 1 [12130:-1333565:1]
86730ct (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  6  2 -6 -4
Curve Equation t Generators 86730ct1 [1,0,0,-6267640,-6038073280] 2 [-1438:2042:1] 86730ct2 [1,0,0,-5342520,-7882207488] 2 [4974:295188:1]
86730cu (4 curves)	0	2- 3- 5- 7- 59-	2- 3- 5- 7-  4 -2  2  4
Curve Equation t 86730cu1 [1,0,0,-125735,-16622775] 2 86730cu2 [1,0,0,-317815,46264217] 4 86730cu3 [1,0,0,896405,315092525] 2 86730cu4 [1,0,0,-4605315,3802971717] 4
86730cv (4 curves)	0	2- 3- 5- 7- 59-	2- 3- 5- 7- -4 -2  6  4
Curve Equation t 86730cv1 [1,0,0,-197520,11868912] 2 86730cv2 [1,0,0,-2550500,1566247500] 4 86730cv3 [1,0,0,-1950250,2322682550] 2 86730cv4 [1,0,0,-40798430,100299454002] 2
86730cw (1 curve)	0	2- 3- 5- 7- 59-	2- 3- 5- 7-  6  5 -3  6
Curve Equation t 86730cw1 [1,0,0,-3480,82452] 1

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