Cremona's table of elliptic curves

85176 = 2³ · 3² · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
85176a (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+  0 7+  0 13+  2  4
Curve Equation t Generators 85176a1 [0,0,0,-15210,749177] 2 [-52:1183:1] 85176a2 [0,0,0,-245895,46932314] 2 [283:96:1]
85176b (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+  2 7+  6 13+  2 -4
Curve Equation t Generators 85176b1 [0,0,0,-1014,10985] 2 [-35:60:1] 85176b2 [0,0,0,1521,57122] 2 [26:338:1]
85176c (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+ -2 7+  2 13+ -6 -4
Curve Equation t Generators 85176c1 [0,0,0,-88166286,318641202945] 2 [4074824:178141717:512] 85176c2 [0,0,0,-88143471,318814355106] 2 [24310:3541564:1]
85176d (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  3 7+ -3 13+ -1  1
Curve Equation t Generators 85176d1 [0,0,0,-118131,-15629458] 1 [1714329214:315367016718:50653]
85176e (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  4 7+  5 13+  3 -1
Curve Equation t Generators 85176e1 [0,0,0,-6940323,-6716690370] 1 [-20879425126174202586151485674353410:227044491318362437908273732752644752:15220738326002625180871417685375]
85176f (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+ -4 7+  4 13+  6 -4
Curve Equation t Generators 85176f1 [0,0,0,-132327,18388890] 2 [210:30915:8] 85176f2 [0,0,0,-41067,43302870] 2 [-65:6760:1]
85176g (2 curves)	0	2+ 3+ 7+ 13-	2+ 3+  0 7+ -4 13- -6  4
Curve Equation t 85176g1 [0,0,0,-32955,-742586] 2 85176g2 [0,0,0,-296595,61634638] 2
85176h (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  1 7-  1 13+  3  1
Curve Equation t 85176h1 [0,0,0,12917853,22261352958] 1
85176i (2 curves)	0	2+ 3+ 7- 13+	2+ 3+ -2 7- -2 13+  6  4
Curve Equation t 85176i1 [0,0,0,-9126,-533871] 2 85176i2 [0,0,0,-168831,-26693550] 2
85176j (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  4 7-  5 13+ -3  1
Curve Equation t 85176j1 [0,0,0,-4563,113230] 1
85176k (2 curves)	1	2+ 3+ 7- 13-	2+ 3+  0 7- -4 13-  6 -4
Curve Equation t Generators 85176k1 [0,0,0,-1755,9126] 2 [-174:1539:8] 85176k2 [0,0,0,-15795,-757458] 2 [-14682:9937:216]
85176l (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  0 7+  1 13+ -3  1
Curve Equation t 85176l1 [0,0,0,-22035,-1258738] 1
85176m (2 curves)	0	2+ 3- 7+ 13+	2+ 3-  0 7+ -2 13+  6  8
Curve Equation t 85176m1 [0,0,0,-15701790,-24583874159] 2 85176m2 [0,0,0,-253076655,-1549622431838] 2
85176n (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  0 7+  3 13+ -4 -2
Curve Equation t 85176n1 [0,0,0,-12675,1348958] 1
85176o (4 curves)	0	2+ 3- 7+ 13+	2+ 3-  2 7+  0 13+  2 -4
Curve Equation t 85176o1 [0,0,0,-11154,-2941783] 2 85176o2 [0,0,0,-383799,-91109590] 4 85176o3 [0,0,0,-596739,21280142] 2 85176o4 [0,0,0,-6133179,-5846238970] 2
85176p (4 curves)	0	2+ 3- 7+ 13+	2+ 3-  2 7+ -4 13+ -2 -4
Curve Equation t 85176p1 [0,0,0,-140439,-20243158] 2 85176p2 [0,0,0,-170859,-10831210] 4 85176p3 [0,0,0,620061,-82804930] 2 85176p4 [0,0,0,-1448499,663507182] 2
85176q (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -2 7+  0 13+  3  2
Curve Equation t 85176q1 [0,0,0,429,-754] 1
85176r (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -2 7+  3 13+  3 -7
Curve Equation t 85176r1 [0,0,0,-402051,-69517474] 1
85176s (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  3 7+  0 13+  2 -5
Curve Equation t 85176s1 [0,0,0,1628484,-525443308] 1
85176t (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  3 7+  0 13+ -7 -8
Curve Equation t 85176t1 [0,0,0,-2882451,2107764542] 1
85176u (1 curve)	2	2+ 3- 7+ 13+	2+ 3- -3 7+ -2 13+  0 -7
Curve Equation t Generators 85176u1 [0,0,0,34476,-3049436] 1 [78:338:1]&[182:-3042:1]
85176v (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -3 7+ -5 13+ -3  1
Curve Equation t 85176v1 [0,0,0,-15685059,24042786014] 1
85176w (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -3 7+  6 13+  8  1
Curve Equation t 85176w1 [0,0,0,-168647715444,-26657996713441756] 1
85176x (2 curves)	0	2+ 3- 7+ 13+	2+ 3-  4 7+  6 13+ -6  8
Curve Equation t 85176x1 [0,0,0,-321438,70139225] 2 85176x2 [0,0,0,-298623,80520050] 2
85176y (2 curves)	0	2+ 3- 7+ 13+	2+ 3- -4 7+  0 13+  2  2
Curve Equation t 85176y1 [0,0,0,-507,241670] 2 85176y2 [0,0,0,-61347,5778110] 2
85176z (1 curve)	1	2+ 3- 7+ 13-	2+ 3- -3 7+ -4 13-  6  7
Curve Equation t Generators 85176z1 [0,0,0,-7144644,-10495710524] 1 [3254:26658:1]
85176ba (2 curves)	1	2+ 3- 7- 13+	2+ 3-  0 7-  2 13+  2  0
Curve Equation t Generators 85176ba1 [0,0,0,-309270,-65740831] 2 [-2542:5355:8] 85176ba2 [0,0,0,-103935,-151694062] 2 [7423:638820:1]
85176bb (1 curve)	1	2+ 3- 7- 13+	2+ 3- -1 7- -2 13+  3 -8
Curve Equation t Generators 85176bb1 [0,0,0,-85683,12738206] 1 [-169:4732:1]
85176bc (4 curves)	1	2+ 3- 7- 13+	2+ 3-  2 7-  0 13+ -6  4
Curve Equation t Generators 85176bc1 [0,0,0,-11154,450385] 2 [53:90:1] 85176bc2 [0,0,0,-18759,-241670] 4 [-590:6885:8] 85176bc3 [0,0,0,72501,-1902602] 2 [1079:36504:1] 85176bc4 [0,0,0,-231699,-42872258] 2 [1965210:14956838:3375]
85176bd (1 curve)	1	2+ 3- 7- 13+	2+ 3- -2 7-  3 13+  1 -5
Curve Equation t Generators 85176bd1 [0,0,0,-58181331,-42237375154] 1 [-3914:354294:1]
85176be (1 curve)	0	2+ 3- 7- 13-	2+ 3-  3 7- -5 13- -7 -3
Curve Equation t 85176be1 [0,0,0,-402051,-217577698] 1
85176bf (2 curves)	0	2- 3+ 7+ 13+	2- 3+  0 7+  0 13+ -2  4
Curve Equation t 85176bf1 [0,0,0,-136890,-20227779] 2 85176bf2 [0,0,0,-2213055,-1267172478] 2
85176bg (2 curves)	0	2- 3+ 7+ 13+	2- 3+  2 7+ -2 13+  6 -4
Curve Equation t 85176bg1 [0,0,0,-9796254,-11801526035] 2 85176bg2 [0,0,0,-9793719,-11807939078] 2
85176bh (2 curves)	2	2- 3+ 7+ 13+	2- 3+ -2 7+ -6 13+ -2 -4
Curve Equation t Generators 85176bh1 [0,0,0,-9126,-296595] 2 [-66:135:1]&[322:5491:1] 85176bh2 [0,0,0,13689,-1542294] 2 [91:676:1]&[169:-2366:1]
85176bi (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -3 7+  3 13+  1  1
Curve Equation t 85176bi1 [0,0,0,-1063179,421995366] 1
85176bj (2 curves)	0	2- 3+ 7+ 13+	2- 3+  4 7+ -4 13+ -6 -4
Curve Equation t 85176bj1 [0,0,0,-14703,-681070] 2 85176bj2 [0,0,0,-4563,-1603810] 2
85176bk (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -4 7+ -5 13+ -3 -1
Curve Equation t 85176bk1 [0,0,0,-771147,248766310] 1
85176bl (2 curves)	1	2- 3+ 7+ 13-	2- 3+  0 7+  4 13-  6  4
Curve Equation t Generators 85176bl1 [0,0,0,-296595,20049822] 2 [-953166522:-20889783225:2406104] 85176bl2 [0,0,0,-2669355,-1664135226] 2 [-1032183135003767350:-4066587299332007263:1120003816625000]
85176bm (1 curve)	1	2- 3+ 7- 13+	2- 3+ -1 7- -1 13+ -3  1
Curve Equation t Generators 85176bm1 [0,0,0,1435317,-824494554] 1 [8034:322959:8]
85176bn (2 curves)	1	2- 3+ 7- 13+	2- 3+  2 7-  2 13+ -6  4
Curve Equation t Generators 85176bn1 [0,0,0,-1014,19773] 2 [-26:169:1] 85176bn2 [0,0,0,-18759,988650] 2 [75:60:1]
85176bo (1 curve)	1	2- 3+ 7- 13+	2- 3+ -4 7- -5 13+  3  1
Curve Equation t Generators 85176bo1 [0,0,0,-41067,-3057210] 1 [-114:378:1]
85176bp (2 curves)	0	2- 3+ 7- 13-	2- 3+  0 7-  4 13- -6 -4
Curve Equation t 85176bp1 [0,0,0,-195,-338] 2 85176bp2 [0,0,0,-1755,28054] 2
85176bq (1 curve)	1	2- 3- 7+ 13+	2- 3-  1 7+  2 13+  3  8
Curve Equation t Generators 85176bq1 [0,0,0,-507,5798] 1 [43:252:1]
85176br (1 curve)	1	2- 3- 7+ 13+	2- 3-  1 7+  5 13+ -3 -1
Curve Equation t Generators 85176br1 [0,0,0,-507,-6402058] 1 [48230:891306:125]
85176bs (1 curve)	1	2- 3- 7+ 13+	2- 3- -1 7+  4 13+  6 -1
Curve Equation t Generators 85176bs1 [0,0,0,-2028,-3049436] 1 [1040:33462:1]
85176bt (1 curve)	1	2- 3- 7+ 13+	2- 3-  2 7+ -3 13+  1  5
Curve Equation t Generators 85176bt1 [0,0,0,-9832644939,-92795513213338] 1 [-10091479104531155875973458666:548373296866341215259568305468:109096667876327084232839]
85176bu (4 curves)	1	2- 3- 7+ 13+	2- 3-  2 7+  4 13+ -6 -4
Curve Equation t Generators 85176bu1 [0,0,0,-61041279,183562324738] 4 [9685403:-26048088:2197] 85176bu2 [0,0,0,-61071699,183370210270] 4 [524304102478:-602145253215:120553784] 85176bu3 [0,0,0,-40203579,310603137910] 2 [28454646055408048496410:-24066083117382976492841205:39775439664629864] 85176bu4 [0,0,0,-82426539,43841956678] 2 [60351080167986969429889678:-51041426459411890985488722990:84360595559999092433]
85176bv (6 curves)	1	2- 3- 7+ 13+	2- 3- -2 7+ -4 13+ -2  4
Curve Equation t Generators 85176bv1 [0,0,0,-364026,-81251651] 2 [-390:1183:1] 85176bv2 [0,0,0,-980031,266298370] 4 [218:7938:1] 85176bv3 [0,0,0,2579109,1756154374] 2 [9006:869162:1] 85176bv4 [0,0,0,-14395251,21019643710] 4 [2246:4230:1] 85176bv5 [0,0,0,-13117611,24902902726] 2 [-145130:24548382:125] 85176bv6 [0,0,0,-230316411,1345350486454] 2 [909739426:7328970:103823]
85176bw (6 curves)	1	2- 3- 7+ 13+	2- 3- -2 7+ -4 13+  6 -4
Curve Equation t Generators 85176bw1 [0,0,0,1096134,1798062149] 2 [-806:19773:1] 85176bw2 [0,0,0,-17163471,25393123730] 4 [1603:44712:1] 85176bw3 [0,0,0,-57409131,-137947911946] 2 [-36862:1356471:8] 85176bw4 [0,0,0,-269071491,1698818100590] 4 [254722:40327625:8] 85176bw5 [0,0,0,-263535051,1772072952806] 2 [-70257381209750:37763852332648662:23763671875] 85176bw6 [0,0,0,-4305136251,108724761767414] 2 [263543588087878:-377365718250:6956932429]
85176bx (1 curve)	0	2- 3- 7+ 13-	2- 3- -3 7+  5 13- -7  3
Curve Equation t 85176bx1 [0,0,0,-2379,-99034] 1
85176by (1 curve)	0	2- 3- 7- 13+	2- 3-  0 7- -1 13+ -3 -1
Curve Equation t 85176by1 [0,0,0,-3723915,-2765447386] 1
85176bz (2 curves)	0	2- 3- 7- 13+	2- 3-  0 7- -2 13+  2  0
Curve Equation t 85176bz1 [0,0,0,785850,209174173] 2 85176bz2 [0,0,0,-4058535,1884362506] 2
85176ca (1 curve)	0	2- 3- 7- 13+	2- 3- -1 7-  2 13+  0  7
Curve Equation t 85176ca1 [0,0,0,-103428,13999284] 1
85176cb (1 curve)	0	2- 3- 7- 13+	2- 3-  2 7-  0 13+  3 -2
Curve Equation t 85176cb1 [0,0,0,72501,-1656538] 1
85176cc (4 curves)	0	2- 3- 7- 13+	2- 3-  2 7-  0 13+  6  4
Curve Equation t 85176cc1 [0,0,0,-11154,23395853] 2 85176cc2 [0,0,0,-1296399,561399410] 4 85176cc3 [0,0,0,-2482779,-626166970] 2 85176cc4 [0,0,0,-20673939,36181193438] 2
85176cd (1 curve)	0	2- 3- 7- 13+	2- 3-  2 7- -3 13+  3  7
Curve Equation t 85176cd1 [0,0,0,-2379,-31642] 1
85176ce (4 curves)	0	2- 3- 7- 13+	2- 3-  2 7- -4 13+  6 -8
Curve Equation t 85176ce1 [0,0,0,1521,-118638] 2 85176ce2 [0,0,0,-28899,-1779570] 4 85176ce3 [0,0,0,-89739,8186022] 2 85176ce4 [0,0,0,-454779,-118044810] 2
85176cf (1 curve)	0	2- 3- 7- 13+	2- 3- -3 7-  0 13+ -7  8
Curve Equation t 85176cf1 [0,0,0,-487134219,4630758698774] 1
85176cg (1 curve)	1	2- 3- 7- 13-	2- 3-  3 7-  4 13-  6 -7
Curve Equation t Generators 85176cg1 [0,0,0,-42276,-4777292] 1 [377:5733:1]

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