Cremona's table of elliptic curves

122640 = 2⁴ · 3 · 5 · 7 · 73

Class	r	Atkin-Lehner	Eigenvalues
122640a (1 curve)	1	2+ 3+ 5+ 7+ 73+	2+ 3+ 5+ 7+ -3  5  2 -4
Curve Equation t Generators 122640a1 [0,-1,0,-726976,323035360] 1 [236:12828:1]
122640b (4 curves)	1	2+ 3+ 5+ 7+ 73+	2+ 3+ 5+ 7+  4  2 -2 -8
Curve Equation t Generators 122640b1 [0,-1,0,54284,2966080] 2 [-618900:13551472:15625] 122640b2 [0,-1,0,-258216,25966080] 4 [-520:4400:1] 122640b3 [0,-1,0,-1973216,-1048309920] 2 [-1163745:3712650:1331] 122640b4 [0,-1,0,-3543216,2567242080] 2 [160090:22549175:8]
122640c (4 curves)	0	2+ 3+ 5+ 7+ 73-	2+ 3+ 5+ 7+  0  6  6  0
Curve Equation t 122640c1 [0,-1,0,609,3906] 2 122640c2 [0,-1,0,-3036,37440] 4 122640c3 [0,-1,0,-21936,-1217520] 2 122640c4 [0,-1,0,-42456,3380256] 2
122640d (4 curves)	2	2+ 3+ 5+ 7+ 73-	2+ 3+ 5+ 7+ -4  6 -6  4
Curve Equation t Generators 122640d1 [0,-1,0,84,183456] 2 [44:520:1]&[113:1274:1] 122640d2 [0,-1,0,-47936,3986640] 4 [-56:2548:1]&[40:1460:1] 122640d3 [0,-1,0,-100856,-6343344] 2 [378:-3066:1]&[346:250:1] 122640d4 [0,-1,0,-763336,256952080] 2 [-224:20412:1]&[336:6188:1]
122640e (1 curve)	0	2+ 3+ 5+ 7- 73+	2+ 3+ 5+ 7-  3 -1  6 -4
Curve Equation t 122640e1 [0,-1,0,104,-60080] 1
122640f (1 curve)	1	2+ 3+ 5+ 7- 73-	2+ 3+ 5+ 7- -1 -2 -1 -6
Curve Equation t Generators 122640f1 [0,-1,0,-36,15] 1 [-1:7:1]
122640g (2 curves)	1	2+ 3+ 5- 7+ 73-	2+ 3+ 5- 7+ -2 -6  0  4
Curve Equation t Generators 122640g1 [0,-1,0,-196680,33638400] 2 [110:3650:1] 122640g2 [0,-1,0,-193760,34682592] 2 [364:-3500:1]
122640h (1 curve)	1	2+ 3+ 5- 7- 73+	2+ 3+ 5- 7-  3 -4  1 -6
Curve Equation t Generators 122640h1 [0,-1,0,-1520,-21993] 1 [-21:15:1]
122640i (4 curves)	0	2+ 3+ 5- 7- 73-	2+ 3+ 5- 7- -4 -2  2  0
Curve Equation t 122640i1 [0,-1,0,-15695,-799350] 2 122640i2 [0,-1,0,-255500,-49623648] 4 122640i3 [0,-1,0,-259880,-47829600] 4 122640i4 [0,-1,0,-4088000,-3180009648] 2
122640j (1 curve)	2	2+ 3- 5+ 7+ 73+	2+ 3- 5+ 7+  2 -5 -6  1
Curve Equation t Generators 122640j1 [0,1,0,-56,900] 1 [-8:30:1]&[0:30:1]
122640k (1 curve)	0	2+ 3- 5+ 7+ 73+	2+ 3- 5+ 7+  5 -6 -1  2
Curve Equation t 122640k1 [0,1,0,-1176,-15921] 1
122640l (1 curve)	1	2+ 3- 5+ 7+ 73-	2+ 3- 5+ 7+ -5 -4  3  2
Curve Equation t Generators 122640l1 [0,1,0,-516,1659] 1 [75:431:27]
122640m (1 curve)	1	2+ 3- 5+ 7- 73+	2+ 3- 5+ 7- -2  0 -7  3
Curve Equation t Generators 122640m1 [0,1,0,104,-10876] 1 [32:162:1]
122640n (1 curve)	1	2+ 3- 5+ 7- 73+	2+ 3- 5+ 7-  3  6  3 -4
Curve Equation t Generators 122640n1 [0,1,0,-896,7455] 1 [1:81:1]
122640o (4 curves)	1	2+ 3- 5+ 7- 73+	2+ 3- 5+ 7-  4  2 -2 -4
Curve Equation t Generators 122640o1 [0,1,0,-1111,-14620] 2 [13180:128184:125] 122640o2 [0,1,0,-1356,-7956] 4 [-9:60:1] 122640o3 [0,1,0,4944,-55836] 2 [411:8460:1] 122640o4 [0,1,0,-11576,470340] 2 [-8:750:1]
122640p (4 curves)	0	2+ 3- 5+ 7- 73-	2+ 3- 5+ 7-  4 -2  2  0
Curve Equation t 122640p1 [0,1,0,-41337196,-74077498996] 2 122640p2 [0,1,0,-609302016,-5788485145980] 4 122640p3 [0,1,0,-557504136,-6813109369836] 2 122640p4 [0,1,0,-9748537016,-370476862891980] 2
122640q (1 curve)	1	2+ 3- 5- 7+ 73+	2+ 3- 5- 7+ -2  4  3  1
Curve Equation t Generators 122640q1 [0,1,0,-3200,69348] 1 [16:150:1]
122640r (1 curve)	1	2+ 3- 5- 7+ 73+	2+ 3- 5- 7+  3 -6 -3 -2
Curve Equation t Generators 122640r1 [0,1,0,-169240,16173275] 1 [-355:5625:1]
122640s (2 curves)	1	2+ 3- 5- 7+ 73+	2+ 3- 5- 7+  4  4  0  4
Curve Equation t Generators 122640s1 [0,1,0,-1408120,-640476700] 2 [-682:1764:1] 122640s2 [0,1,0,-620800,-1351899052] 2 [3116:164250:1]
122640t (2 curves)	1	2+ 3- 5- 7+ 73+	2+ 3- 5- 7+ -6  2  8  4
Curve Equation t Generators 122640t1 [0,1,0,-680,-3900] 2 [30:60:1] 122640t2 [0,1,0,2240,-26092] 2 [46:420:1]
122640u (2 curves)	0	2+ 3- 5- 7- 73+	2+ 3- 5- 7- -2 -2  0  8
Curve Equation t 122640u1 [0,1,0,-1520,-21852] 2 122640u2 [0,1,0,1400,-93100] 2
122640v (1 curve)	0	2+ 3- 5- 7- 73+	2+ 3- 5- 7-  3  2  5  6
Curve Equation t 122640v1 [0,1,0,-5580,155115] 1
122640w (1 curve)	0	2+ 3- 5- 7- 73+	2+ 3- 5- 7- -3  2 -7  0
Curve Equation t 122640w1 [0,1,0,-28040,-1766685] 1
122640x (1 curve)	1	2+ 3- 5- 7- 73-	2+ 3- 5- 7- -2  1  2 -3
Curve Equation t Generators 122640x1 [0,1,0,-19080,-1022172] 1 [176:1050:1]
122640y (2 curves)	1	2- 3+ 5+ 7+ 73-	2- 3+ 5+ 7+  0  5  0  1
Curve Equation t Generators 122640y1 [0,-1,0,-14516,-706884] 1 [7418:223745:8] 122640y2 [0,-1,0,81844,-808500] 1 [1079662258:34053146125:1191016]
122640z (4 curves)	1	2- 3+ 5+ 7+ 73-	2- 3+ 5+ 7+  0 -6  2  4
Curve Equation t Generators 122640z1 [0,-1,0,-57456,-2286144] 2 [-54:810:1] 122640z2 [0,-1,0,-472176,123456960] 4 [458:1750:1] 122640z3 [0,-1,0,-51696,335042496] 2 [498370:31496318:125] 122640z4 [0,-1,0,-7528176,7952794560] 4 [-1992:122640:1]
122640ba (2 curves)	1	2- 3+ 5+ 7+ 73-	2- 3+ 5+ 7+  6 -7 -6  7
Curve Equation t Generators 122640ba1 [0,-1,0,-29176,-2026640] 1 [1914:17215:8] 122640ba2 [0,-1,0,167384,-1591184] 1 [138:9125:8]
122640bb (1 curve)	1	2- 3+ 5+ 7- 73+	2- 3+ 5+ 7-  2  3 -6 -1
Curve Equation t Generators 122640bb1 [0,-1,0,7504,-650304] 1 [181:2570:1]
122640bc (1 curve)	1	2- 3+ 5+ 7- 73+	2- 3+ 5+ 7-  3  2 -5  2
Curve Equation t Generators 122640bc1 [0,-1,0,-301586,-63575085] 1 [-311:203:1]
122640bd (2 curves)	0	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7-  0 -2 -6  2
Curve Equation t 122640bd1 [0,-1,0,219,0] 2 122640bd2 [0,-1,0,-876,876] 2
122640be (1 curve)	0	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7-  2  4  1  5
Curve Equation t 122640be1 [0,-1,0,364,20940] 1
122640bf (1 curve)	0	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7- -2  4 -7 -5
Curve Equation t 122640bf1 [0,-1,0,-166556,-26107620] 1
122640bg (4 curves)	0	2- 3+ 5+ 7- 73-	2- 3+ 5+ 7-  4 -2  2  4
Curve Equation t 122640bg1 [0,-1,0,12424,495216] 2 122640bg2 [0,-1,0,-69496,4689520] 4 122640bg3 [0,-1,0,-445816,-110915984] 2 122640bg4 [0,-1,0,-1003896,387419760] 2
122640bh (1 curve)	1	2- 3+ 5- 7+ 73+	2- 3+ 5- 7+  1  5  2  0
Curve Equation t Generators 122640bh1 [0,-1,0,-680,7152] 1 [12:24:1]
122640bi (2 curves)	0	2- 3+ 5- 7+ 73-	2- 3+ 5- 7+  4  2  2 -4
Curve Equation t 122640bi1 [0,-1,0,55,2532] 2 122640bi2 [0,-1,0,-2500,47500] 2
122640bj (1 curve)	0	2- 3+ 5- 7+ 73-	2- 3+ 5- 7+  4 -3  0  5
Curve Equation t 122640bj1 [0,-1,0,-10220,401100] 1
122640bk (6 curves)	0	2- 3+ 5- 7+ 73-	2- 3+ 5- 7+  4  6 -6 -4
Curve Equation t 122640bk1 [0,-1,0,-1467520,-683724800] 2 122640bk2 [0,-1,0,-1571200,-581454848] 4 122640bk3 [0,-1,0,3684800,-3646754048] 2 122640bk4 [0,-1,0,-8486080,9027462400] 8 122640bk5 [0,-1,0,6213920,37004502400] 4 122640bk6 [0,-1,0,-133824160,595910488192] 4
122640bl (2 curves)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  0  2  6 -2
Curve Equation t 122640bl1 [0,-1,0,4621715,12300745600] 2 122640bl2 [0,-1,0,-60036940,162981275212] 2
122640bm (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  0  3  0  1
Curve Equation t 122640bm1 [0,-1,0,196420,337418700] 1
122640bn (2 curves)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  0 -4  0  0
Curve Equation t 122640bn1 [0,-1,0,-734840,-242048400] 2 122640bn2 [0,-1,0,-579320,-347553168] 2
122640bo (2 curves)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  0  6 -6  4
Curve Equation t 122640bo1 [0,-1,0,455,1900] 2 122640bo2 [0,-1,0,-2100,18252] 2
122640bp (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  2  3  2 -5
Curve Equation t 122640bp1 [0,-1,0,10176592680,-653004128721168] 1
122640bq (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  2 -4 -5 -5
Curve Equation t 122640bq1 [0,-1,0,-114520,21126640] 1
122640br (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  2  6  5  7
Curve Equation t 122640br1 [0,-1,0,-497560,-150072080] 1
122640bs (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7- -2  4 -1 -7
Curve Equation t 122640bs1 [0,-1,0,-88800,-20095488] 1
122640bt (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  3 -1  6  0
Curve Equation t 122640bt1 [0,-1,0,-1120,-39680] 1
122640bu (4 curves)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7- -4  2 -2  4
Curve Equation t 122640bu1 [0,-1,0,-680,-20880] 2 122640bu2 [0,-1,0,-16360,-798608] 4 122640bu3 [0,-1,0,-21960,-198288] 2 122640bu4 [0,-1,0,-261640,-51424400] 2
122640bv (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7-  5  2  1 -2
Curve Equation t 122640bv1 [0,-1,0,-610,6007] 1
122640bw (1 curve)	0	2- 3+ 5- 7- 73+	2- 3+ 5- 7- -5 -2  5 -4
Curve Equation t 122640bw1 [0,-1,0,-310850,-66493125] 1
122640bx (1 curve)	1	2- 3+ 5- 7- 73-	2- 3+ 5- 7-  3  4 -3  2
Curve Equation t Generators 122640bx1 [0,-1,0,-470190,-58992525] 1 [-13785:186515:27]
122640by (1 curve)	1	2- 3+ 5- 7- 73-	2- 3+ 5- 7-  6 -2  3 -1
Curve Equation t Generators 122640by1 [0,-1,0,1360,-103488] 1 [74:-630:1]
122640bz (1 curve)	1	2- 3- 5+ 7+ 73+	2- 3- 5+ 7+ -1  0  7  2
Curve Equation t Generators 122640bz1 [0,1,0,-26,-21] 1 [-5:3:1]
122640ca (1 curve)	1	2- 3- 5+ 7+ 73+	2- 3- 5+ 7+  2 -5 -2  5
Curve Equation t Generators 122640ca1 [0,1,0,3464,-221740] 1 [506:4035:8]
122640cb (4 curves)	1	2- 3- 5+ 7+ 73+	2- 3- 5+ 7+ -4 -6 -2  0
Curve Equation t Generators 122640cb1 [0,1,0,5264,-989740] 2 [107:900:1] 122640cb2 [0,1,0,-122736,-15786540] 4 [-228:630:1] 122640cb3 [0,1,0,-356336,61862100] 2 [-254:11664:1] 122640cb4 [0,1,0,-1937136,-1038382380] 2 [-804:54:1]
122640cc (1 curve)	0	2- 3- 5+ 7+ 73-	2- 3- 5+ 7+ -2  0 -3 -1
Curve Equation t 122640cc1 [0,1,0,618064,-162174636] 1
122640cd (1 curve)	0	2- 3- 5+ 7+ 73-	2- 3- 5+ 7+ -3  1  6 -4
Curve Equation t 122640cd1 [0,1,0,209824,-18008460] 1
122640ce (4 curves)	0	2- 3- 5+ 7+ 73-	2- 3- 5+ 7+ -4  2 -2 -4
Curve Equation t 122640ce1 [0,1,0,-2576,-51180] 2 122640ce2 [0,1,0,-2896,-37996] 4 122640ce3 [0,1,0,8784,-257580] 2 122640ce4 [0,1,0,-19696,1030484] 2
122640cf (1 curve)	0	2- 3- 5+ 7+ 73-	2- 3- 5+ 7+  5  2 -5  2
Curve Equation t 122640cf1 [0,1,0,-6455426,-6215132301] 1
122640cg (1 curve)	0	2- 3- 5+ 7+ 73-	2- 3- 5+ 7+ -5 -2  7  0
Curve Equation t 122640cg1 [0,1,0,-2366,-3405] 1
122640ch (1 curve)	0	2- 3- 5+ 7+ 73-	2- 3- 5+ 7+ -6  4 -3 -7
Curve Equation t 122640ch1 [0,1,0,-36,-120] 1
122640ci (1 curve)	0	2- 3- 5+ 7- 73+	2- 3- 5+ 7-  2  0 -3  1
Curve Equation t 122640ci1 [0,1,0,-1320376,-584422060] 1
122640cj (1 curve)	0	2- 3- 5+ 7- 73+	2- 3- 5+ 7-  2 -4 -3  5
Curve Equation t 122640cj1 [0,1,0,-127636,-18805336] 1
122640ck (2 curves)	0	2- 3- 5+ 7- 73+	2- 3- 5+ 7- -4  2  2 -6
Curve Equation t 122640ck1 [0,1,0,-61,290] 2 122640ck2 [0,1,0,-1156,14744] 2
122640cl (4 curves)	0	2- 3- 5+ 7- 73+	2- 3- 5+ 7- -4  2  6 -4
Curve Equation t 122640cl1 [0,1,0,4944,-374700] 2 122640cl2 [0,1,0,-57776,-4815276] 4 122640cl3 [0,1,0,-221296,34887380] 2 122640cl4 [0,1,0,-897776,-327711276] 2
122640cm (1 curve)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7-  0  1 -4 -5
Curve Equation t Generators 122640cm1 [0,1,0,-36,-101736] 1 [522:3375:8]
122640cn (4 curves)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7-  0  2  2 -4
Curve Equation t Generators 122640cn1 [0,1,0,-6794256,-6815000556] 2 [11662814730:-1379940696064:804357] 122640cn2 [0,1,0,-8104976,-4001146860] 4 [-636:29946:1] 122640cn3 [0,1,0,28523504,-30124578796] 2 [572391862468:49776841406250:362467097] 122640cn4 [0,1,0,-65704976,202229893140] 4 [11842:1041600:1]
122640co (1 curve)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7-  1  6  3  2
Curve Equation t Generators 122640co1 [0,1,0,-246,-1125] 1 [-9:21:1]
122640cp (1 curve)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7-  3  2 -1  8
Curve Equation t Generators 122640cp1 [0,1,0,-12066,-473085] 1 [-69:189:1]
122640cq (1 curve)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7-  3 -5  2  4
Curve Equation t Generators 122640cq1 [0,1,0,-38136,2895060] 1 [8418:124928:27]
122640cr (1 curve)	1	2- 3- 5+ 7- 73-	2- 3- 5+ 7- -6 -2 -1 -5
Curve Equation t Generators 122640cr1 [0,1,0,-12787096,20265331604] 1 [9590:883008:1]
122640cs (2 curves)	0	2- 3- 5- 7+ 73+	2- 3- 5- 7+  6  2 -4  4
Curve Equation t 122640cs1 [0,1,0,-1247120,535629588] 2 122640cs2 [0,1,0,-1200400,577658900] 2
122640ct (4 curves)	1	2- 3- 5- 7+ 73-	2- 3- 5- 7+ -4 -2  2  0
Curve Equation t Generators 122640ct1 [0,1,0,-1128120,460813140] 2 [1143:25806:1] 122640ct2 [0,1,0,-1148600,443192148] 4 [-572:30222:1] 122640ct3 [0,1,0,1046600,1938562388] 4 [3788:245502:1] 122640ct4 [0,1,0,-3671480,-2179593900] 2 [-956:21390:1]
122640cu (2 curves)	1	2- 3- 5- 7- 73+	2- 3- 5- 7- -4 -4  0 -4
Curve Equation t Generators 122640cu1 [0,1,0,-912714320,-10613602324332] 2 [-17444:1050:1] 122640cu2 [0,1,0,-910226000,-10674348187500] 2 [249250:123480000:1]
122640cv (1 curve)	1	2- 3- 5- 7- 73+	2- 3- 5- 7-  5  0 -3 -2
Curve Equation t Generators 122640cv1 [0,1,0,-10990,439775] 1 [35:315:1]
122640cw (2 curves)	1	2- 3- 5- 7- 73+	2- 3- 5- 7- -6 -2  4  8
Curve Equation t Generators 122640cw1 [0,1,0,-588040,168742388] 2 [236:6570:1] 122640cw2 [0,1,0,159480,569114100] 2 [-450:20160:1]
122640cx (1 curve)	0	2- 3- 5- 7- 73-	2- 3- 5- 7- -3 -2 -3  4
Curve Equation t 122640cx1 [0,1,0,-70,203] 1
122640cy (1 curve)	0	2- 3- 5- 7- 73-	2- 3- 5- 7-  6  4 -1  1
Curve Equation t 122640cy1 [0,1,0,280,2100] 1
122640cz (1 curve)	0	2- 3- 5- 7- 73-	2- 3- 5- 7- -6  4  3 -5
Curve Equation t 122640cz1 [0,1,0,16960,2839860] 1

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