Cremona's table of elliptic curves

43120 = 2⁴ · 5 · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
43120a (1 curve)	1	2+ 5+ 7+ 11+	2+ -1 5+ 7+ 11+ -5  4  2
Curve Equation t Generators 43120a1 [0,-1,0,-3277136,-2282324960] 1 [-1044:148:1]
43120b (1 curve)	1	2+ 5+ 7+ 11+	2+  2 5+ 7+ 11+  1 -2  8
Curve Equation t Generators 43120b1 [0,-1,0,-16,-69] 1 [18291:38403:2197]
43120c (1 curve)	1	2+ 5+ 7+ 11+	2+  2 5+ 7+ 11+ -3 -2 -8
Curve Equation t Generators 43120c1 [0,-1,0,5764344,2909997035] 1 [-7019696399600085931:-72111178600622495187:14587416273130219]
43120d (1 curve)	0	2+ 5+ 7- 11+	2+  0 5+ 7- 11+ -3  6  2
Curve Equation t 43120d1 [0,0,0,-203,1673] 1
43120e (4 curves)	0	2+ 5+ 7- 11+	2+  0 5+ 7- 11+  6 -6 -4
Curve Equation t 43120e1 [0,0,0,-5978,126567] 2 43120e2 [0,0,0,-35623,-2488122] 4 43120e3 [0,0,0,18277,-9354982] 2 43120e4 [0,0,0,-563843,-162961358] 2
43120f (1 curve)	0	2+ 5+ 7- 11+	2+  1 5+ 7- 11+  2  4  8
Curve Equation t 43120f1 [0,1,0,-58256,-6834556] 1
43120g (1 curve)	0	2+ 5+ 7- 11+	2+  1 5+ 7- 11+  5  4  2
Curve Equation t 43120g1 [0,1,0,-39216,-2939980] 1
43120h (1 curve)	2	2+ 5+ 7- 11+	2+ -1 5+ 7- 11+ -2  0 -4
Curve Equation t Generators 43120h1 [0,-1,0,-296,2080] 1 [-19:22:1]&[6:22:1]
43120i (4 curves)	1	2+ 5+ 7- 11-	2+  0 5+ 7- 11-  2 -2  0
Curve Equation t Generators 43120i1 [0,0,0,-2303,104958] 2 [-27:384:1] 43120i2 [0,0,0,-50323,4340322] 4 [-119:2940:1] 43120i3 [0,0,0,-64043,1785658] 2 [9:1100:1] 43120i4 [0,0,0,-804923,277958282] 2 [959:19698:1]
43120j (4 curves)	1	2+ 5+ 7- 11-	2+  0 5+ 7- 11- -6  6  4
Curve Equation t Generators 43120j1 [0,0,0,-247058,47265743] 2 [34244:528759:64] 43120j2 [0,0,0,-247303,47167302] 4 [-266:9702:1] 43120j3 [0,0,0,-128723,92488578] 2 [-222:10494:1] 43120j4 [0,0,0,-369803,-4454198] 2 [-63:4312:1]
43120k (2 curves)	1	2+ 5+ 7- 11-	2+ -2 5+ 7- 11- -6 -2  2
Curve Equation t Generators 43120k1 [0,1,0,-16,-27420] 2 [79:686:1] 43120k2 [0,1,0,-13736,-614636] 2 [-68:98:1]
43120l (1 curve)	1	2+ 5+ 7- 11-	2+  3 5+ 7- 11-  6 -3 -5
Curve Equation t Generators 43120l1 [0,0,0,-3283,-77518] 1 [134901:1733068:729]
43120m (1 curve)	0	2+ 5- 7+ 11+	2+  0 5- 7+ 11+  3 -6 -2
Curve Equation t 43120m1 [0,0,0,-9947,-573839] 1
43120n (1 curve)	0	2+ 5- 7+ 11+	2+  1 5- 7+ 11+  2  0  4
Curve Equation t 43120n1 [0,1,0,-14520,-684412] 1
43120o (1 curve)	2	2+ 5- 7+ 11+	2+ -1 5- 7+ 11+ -2 -4 -8
Curve Equation t Generators 43120o1 [0,-1,0,-2854560,2338543600] 1 [-1290:62230:1]&[670:-26950:1]
43120p (1 curve)	2	2+ 5- 7+ 11+	2+ -1 5- 7+ 11+ -5 -4 -2
Curve Equation t Generators 43120p1 [0,-1,0,-800,8800] 1 [-30:70:1]&[12:28:1]
43120q (4 curves)	1	2+ 5- 7- 11+	2+  0 5- 7- 11+ -2 -2  0
Curve Equation t Generators 43120q1 [0,0,0,2544913,-872887666] 2 [74858:20485920:1] 43120q2 [0,0,0,-11803267,-7481659374] 4 [-693:19110:1] 43120q3 [0,0,0,-93149147,340890206314] 4 [4993:16500:1] 43120q4 [0,0,0,-160028267,-778814914374] 2 [-200211:-270530:27]
43120r (2 curves)	1	2+ 5- 7- 11+	2+  0 5- 7- 11+  4  4  0
Curve Equation t Generators 43120r1 [0,0,0,98,-1029] 2 [8095:65778:125] 43120r2 [0,0,0,-1127,-13034] 2 [261:4180:1]
43120s (1 curve)	1	2+ 5- 7- 11+	2+  1 5- 7- 11+  5 -4 -2
Curve Equation t Generators 43120s1 [0,1,0,-66880,6634900] 1 [150:20:1]
43120t (2 curves)	1	2+ 5- 7- 11+	2+ -2 5- 7- 11+  0 -4 -4
Curve Equation t Generators 43120t1 [0,1,0,2140,-4292] 2 [46:440:1] 43120t2 [0,1,0,-8640,-43100] 2 [-40:490:1]
43120u (1 curve)	1	2+ 5- 7- 11+	2+ -2 5- 7- 11+ -1  2 -8
Curve Equation t Generators 43120u1 [0,1,0,-800,25255] 1 [73:601:1]
43120v (1 curve)	1	2+ 5- 7- 11+	2+ -2 5- 7- 11+  3  2  8
Curve Equation t Generators 43120v1 [0,1,0,117640,-8450345] 1 [952748544280487:-22458040523718731:6559155588959]
43120w (2 curves)	0	2+ 5- 7- 11-	2+  0 5- 7- 11-  0  0 -8
Curve Equation t 43120w1 [0,0,0,-1862,-29841] 2 43120w2 [0,0,0,833,-109074] 2
43120x (2 curves)	0	2- 5+ 7+ 11+	2- -1 5+ 7+ 11+ -1  0 -2
Curve Equation t 43120x1 [0,-1,0,-231296,30109696] 1 43120x2 [0,-1,0,-17134336,27304855040] 1
43120y (2 curves)	0	2- 5+ 7+ 11+	2- -1 5+ 7+ 11+  5  0 -2
Curve Equation t 43120y1 [0,-1,0,-57974856,-169853897744] 1 43120y2 [0,-1,0,-146672696,455221694320] 1
43120z (1 curve)	1	2- 5+ 7+ 11-	2-  1 5+ 7+ 11- -1  2  0
Curve Equation t Generators 43120z1 [0,1,0,-107816,-13213516] 1 [-178:608:1]
43120ba (2 curves)	1	2- 5+ 7+ 11-	2-  2 5+ 7+ 11-  5  6  4
Curve Equation t Generators 43120ba1 [0,-1,0,-1486,-21825] 1 [41907883972941:-1510909715595447:32187778741] 43120ba2 [0,-1,0,5374,-113749] 1 [11713:1267629:1]
43120bb (1 curve)	1	2- 5+ 7+ 11-	2- -2 5+ 7+ 11- -1  2  0
Curve Equation t Generators 43120bb1 [0,1,0,-355266,-85805105] 1 [5079:359381:1]
43120bc (2 curves)	1	2- 5+ 7- 11+	2-  0 5+ 7- 11+ -2  4 -4
Curve Equation t Generators 43120bc1 [0,0,0,-20923,100842] 2 [-26:792:1] 43120bc2 [0,0,0,-240443,45278058] 2 [-49:7546:1]
43120bd (2 curves)	1	2- 5+ 7- 11+	2-  0 5+ 7- 11+ -2 -8 -4
Curve Equation t Generators 43120bd1 [0,0,0,-2024323,1108251522] 2 [3199:165438:1] 43120bd2 [0,0,0,-2311043,773878658] 2 [193:18304:1]
43120be (4 curves)	1	2- 5+ 7- 11+	2-  0 5+ 7- 11+  6 -6 -4
Curve Equation t Generators 43120be1 [0,0,0,-28763,2526538] 2 [39:-1210:1] 43120be2 [0,0,0,-503083,137328282] 4 [63:10290:1] 43120be3 [0,0,0,-546203,112396298] 2 [24573:518750:27] 43120be4 [0,0,0,-8049083,8789571882] 4 [5698:467705:8]
43120bf (2 curves)	1	2- 5+ 7- 11+	2-  1 5+ 7- 11+ -2  0 -4
Curve Equation t Generators 43120bf1 [0,1,0,-11660056,99756266644] 1 [-70195658762991:-9486714631484684:28177720507] 43120bf2 [0,1,0,104548344,-2637602320396] 1 [14389074733741057968117438209190592957983:-3680592755529516880178334330829982196454708:223291723213832588352716249663045829]
43120bg (1 curve)	1	2- 5+ 7- 11+	2-  1 5+ 7- 11+  3  0  6
Curve Equation t Generators 43120bg1 [0,1,0,-296,-1996] 1 [-10:8:1]
43120bh (2 curves)	1	2- 5+ 7- 11+	2- -1 5+ 7- 11+  6  7  5
Curve Equation t Generators 43120bh1 [0,-1,0,7824,-1077824] 1 [1288:46304:1] 43120bh2 [0,-1,0,-4656976,-3866605504] 1 [1567225965224976:-18945752205691592:612608999157]
43120bi (2 curves)	1	2- 5+ 7- 11+	2-  2 5+ 7- 11+  0  4 -4
Curve Equation t Generators 43120bi1 [0,-1,0,-261,176] 2 [5600:132:343] 43120bi2 [0,-1,0,-2956,62700] 2 [138:1029:8]
43120bj (2 curves)	1	2- 5+ 7- 11+	2- -2 5+ 7- 11+  0  0  0
Curve Equation t Generators 43120bj1 [0,1,0,25464,12203764] 2 [-66:3200:1] 43120bj2 [0,1,0,-664456,199034100] 2 [44:13034:1]
43120bk (4 curves)	1	2- 5+ 7- 11+	2- -2 5+ 7- 11+  4  0 -4
Curve Equation t Generators 43120bk1 [0,1,0,-121781,-14882750] 2 [-47257212:68818687:314432] 43120bk2 [0,1,0,-447876,98989624] 2 [-54:80801:8] 43120bk3 [0,1,0,-9608181,-11466509090] 2 [-67700379843553527695135772:-76801937175574350755687:37823386305594565841472] 43120bk4 [0,1,0,-9610876,-11459757576] 2 [-849147218526:-1537944498531:470910952]
43120bl (2 curves)	1	2- 5+ 7- 11+	2- -2 5+ 7- 11+  6  0 -2
Curve Equation t Generators 43120bl1 [0,1,0,4899984,10196387284] 2 [4164:320650:1] 43120bl2 [0,1,0,-51297136,124546287060] 2 [917768564:30737781250:148877]
43120bm (2 curves)	0	2- 5+ 7- 11-	2-  0 5+ 7- 11- -2  6  4
Curve Equation t 43120bm1 [0,0,0,392,3087] 2 43120bm2 [0,0,0,-2303,29498] 2
43120bn (4 curves)	0	2- 5+ 7- 11-	2-  0 5+ 7- 11- -2 -6  4
Curve Equation t 43120bn1 [0,0,0,-9477923,-13517542878] 2 43120bn2 [0,0,0,-160068643,-779452062942] 4 43120bn3 [0,0,0,-168520163,-692568747038] 2 43120bn4 [0,0,0,-2561068643,-49886144662942] 2
43120bo (4 curves)	2	2- 5+ 7- 11-	2-  0 5+ 7- 11- -2 -6 -4
Curve Equation t Generators 43120bo1 [0,0,0,637,4802] 2 [7:-98:1]&[137:1632:1] 43120bo2 [0,0,0,-3283,43218] 4 [-49:294:1]&[-41:330:1] 43120bo3 [0,0,0,-22883,-1301342] 2 [-89:174:1]&[-87:176:1] 43120bo4 [0,0,0,-46403,3846402] 2 [-49:2450:1]&[98:490:1]
43120bp (1 curve)	0	2- 5+ 7- 11-	2-  0 5+ 7- 11-  3  2  2
Curve Equation t 43120bp1 [0,0,0,7,7] 1
43120bq (4 curves)	0	2- 5+ 7- 11-	2-  0 5+ 7- 11-  6  2 -4
Curve Equation t 43120bq1 [0,0,0,-22883,-14099358] 2 43120bq2 [0,0,0,-1026403,-397644702] 4 43120bq3 [0,0,0,-1716323,204103522] 2 43120bq4 [0,0,0,-16392803,-25546294942] 2
43120br (2 curves)	0	2- 5+ 7- 11-	2-  1 5+ 7- 11-  4 -6  2
Curve Equation t 43120br1 [0,1,0,124,440] 1 43120br2 [0,1,0,-1276,-24200] 1
43120bs (1 curve)	0	2- 5+ 7- 11-	2- -1 5+ 7- 11- -1 -2 -4
Curve Equation t 43120bs1 [0,-1,0,-9643216,10456980416] 1
43120bt (1 curve)	0	2- 5+ 7- 11-	2- -1 5+ 7- 11-  2  4  8
Curve Equation t 43120bt1 [0,-1,0,-16,-16960] 1
43120bu (2 curves)	0	2- 5+ 7- 11-	2-  2 5+ 7- 11- -4 -8 -4
Curve Equation t 43120bu1 [0,-1,0,-4181,104840] 2 43120bu2 [0,-1,0,-6876,-43924] 2
43120bv (4 curves)	0	2- 5+ 7- 11-	2- -2 5+ 7- 11- -2 -6  2
Curve Equation t 43120bv1 [0,1,0,7824,2179540] 2 43120bv2 [0,1,0,-211696,35810004] 2 43120bv3 [0,1,0,-70576,-59568300] 2 43120bv4 [0,1,0,-2759696,-1755865196] 2
43120bw (4 curves)	0	2- 5+ 7- 11-	2- -2 5+ 7- 11-  4  0 -4
Curve Equation t 43120bw1 [0,1,0,-2221,38730] 2 43120bw2 [0,1,0,-4916,-76616] 2 43120bw3 [0,1,0,-21821,-1232330] 2 43120bw4 [0,1,0,-347916,-79103816] 2
43120bx (2 curves)	2	2- 5+ 7- 11-	2- -2 5+ 7- 11- -4  4 -8
Curve Equation t Generators 43120bx1 [0,1,0,-16,153684] 2 [100:-1078:1]&[-36:330:1] 43120bx2 [0,1,0,-43136,3379060] 2 [-236:686:1]&[-68:2450:1]
43120by (2 curves)	2	2- 5+ 7- 11-	2- -2 5+ 7- 11- -6 -4  2
Curve Equation t Generators 43120by1 [0,1,0,-8976,331540] 2 [44:154:1]&[-33:770:1] 43120by2 [0,1,0,-144496,21093204] 2 [220:-22:1]&[-33:5082:1]
43120bz (1 curve)	0	2- 5+ 7- 11-	2-  3 5+ 7- 11-  1  6  4
Curve Equation t 43120bz1 [0,0,0,-1543843,-77211358] 1
43120ca (1 curve)	0	2- 5+ 7- 11-	2- -3 5+ 7- 11-  6  8 -4
Curve Equation t 43120ca1 [0,0,0,-391363,113716162] 1
43120cb (2 curves)	1	2- 5- 7+ 11+	2- -1 5- 7+ 11+  2  0  4
Curve Equation t Generators 43120cb1 [0,-1,0,-237960,-290766608] 1 [20442:1004905:8] 43120cb2 [0,-1,0,2133640,7689193072] 1 [86357178:5958041881:39304]
43120cc (1 curve)	1	2- 5- 7+ 11+	2- -1 5- 7+ 11+ -3  0 -6
Curve Equation t Generators 43120cc1 [0,-1,0,-14520,655600] 1 [180:1960:1]
43120cd (1 curve)	0	2- 5- 7+ 11-	2-  0 5- 7+ 11- -3 -2 -2
Curve Equation t 43120cd1 [0,0,0,343,-2401] 1
43120ce (1 curve)	0	2- 5- 7+ 11-	2-  1 5- 7+ 11-  1  2  4
Curve Equation t 43120ce1 [0,1,0,-196800,-30543052] 1
43120cf (1 curve)	0	2- 5- 7+ 11-	2-  1 5- 7+ 11- -2 -4 -8
Curve Equation t 43120cf1 [0,1,0,-800,5818868] 1
43120cg (2 curves)	0	2- 5- 7+ 11-	2- -1 5- 7+ 11- -4  6 -2
Curve Equation t 43120cg1 [0,-1,0,6060,-138788] 1 43120cg2 [0,-1,0,-62540,8175532] 1
43120ch (1 curve)	0	2- 5- 7+ 11-	2-  3 5- 7+ 11- -6 -8  4
Curve Equation t 43120ch1 [0,0,0,-7987,-331534] 1
43120ci (1 curve)	2	2- 5- 7+ 11-	2- -3 5- 7+ 11- -1 -6 -4
Curve Equation t Generators 43120ci1 [0,0,0,-31507,225106] 1 [1057:-33880:1]&[-175:616:1]
43120cj (2 curves)	0	2- 5- 7- 11+	2-  0 5- 7- 11+  2 -4  4
Curve Equation t 43120cj1 [0,0,0,-427,-294] 2 43120cj2 [0,0,0,-4907,-132006] 2
43120ck (2 curves)	0	2- 5- 7- 11+	2-  0 5- 7- 11+  2  8  4
Curve Equation t 43120ck1 [0,0,0,-99191827,-380130272046] 2 43120ck2 [0,0,0,-113241107,-265440379694] 2
43120cl (2 curves)	0	2- 5- 7- 11+	2-  1 5- 7- 11+  1  0  2
Curve Equation t 43120cl1 [0,1,0,-4720,-89132] 1 43120cl2 [0,1,0,-349680,-79705900] 1
43120cm (2 curves)	0	2- 5- 7- 11+	2-  1 5- 7- 11+ -2 -3 -7
Curve Equation t 43120cm1 [0,1,0,-69400,7081108] 1 43120cm2 [0,1,0,232440,36902900] 1
43120cn (2 curves)	0	2- 5- 7- 11+	2-  1 5- 7- 11+ -5  0  2
Curve Equation t 43120cn1 [0,1,0,-2840767960,58265568462100] 1 43120cn2 [0,1,0,-7186962120,-156126667227532] 1
43120co (2 curves)	0	2- 5- 7- 11+	2-  2 5- 7- 11+ -6  0  2
Curve Equation t 43120co1 [0,-1,0,100000,-29755648] 2 43120co2 [0,-1,0,-1046880,-362809600] 2
43120cp (2 curves)	1	2- 5- 7- 11-	2-  1 5- 7- 11- -2  3 -1
Curve Equation t Generators 43120cp1 [0,1,0,-800,23540] 1 [-22:176:1] 43120cp2 [0,1,0,7040,-562892] 1 [66:440:1]
43120cq (1 curve)	1	2- 5- 7- 11-	2- -1 5- 7- 11-  1 -2  0
Curve Equation t Generators 43120cq1 [0,-1,0,-2200,39152] 1 [44:-160:1]
43120cr (1 curve)	1	2- 5- 7- 11-	2-  2 5- 7- 11-  1 -2  0
Curve Equation t Generators 43120cr1 [0,-1,0,-17408050,29396334927] 1 [2109:45375:1]
43120cs (2 curves)	1	2- 5- 7- 11-	2-  2 5- 7- 11- -2 -2  6
Curve Equation t Generators 43120cs1 [0,-1,0,-2760,-122128] 2 [31836:1091600:27] 43120cs2 [0,-1,0,-57640,-5302800] 2 [4716:323400:1]
43120ct (2 curves)	1	2- 5- 7- 11-	2-  2 5- 7- 11-  6  4 -2
Curve Equation t Generators 43120ct1 [0,-1,0,-439840,-114597888] 2 [103920:1209648:125] 43120ct2 [0,-1,0,-7080320,-7249129600] 2 [73549590:-10772268254:3375]
43120cu (4 curves)	1	2- 5- 7- 11-	2- -2 5- 7- 11- -2  6  2
Curve Equation t Generators 43120cu1 [0,1,0,-716200,234041268] 2 [622:5440:1] 43120cu2 [0,1,0,-11472680,14953208500] 2 [1950:400:1] 43120cu3 [0,1,0,1780840,1244458900] 2 [100:37730:1] 43120cu4 [0,1,0,-12268440,12759248788] 2 [566:77440:1]
43120cv (4 curves)	1	2- 5- 7- 11-	2- -2 5- 7- 11-  4  0 -4
Curve Equation t Generators 43120cv1 [0,1,0,-43920,68929300] 2 [-292:7546:1] 43120cv2 [0,1,0,-2803600,1789865748] 2 [716:12250:1] 43120cv3 [0,1,0,395120,-1857051372] 2 [1276:26950:1] 43120cv4 [0,1,0,-20474960,-34656469100] 2 [-2420:26950:1]
43120cw (2 curves)	1	2- 5- 7- 11-	2- -2 5- 7- 11- -5 -6 -4
Curve Equation t Generators 43120cw1 [0,1,0,-30,55] 1 [3:1:1] 43120cw2 [0,1,0,110,363] 1 [11:-55:1]

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