Cremona's table of elliptic curves

127512 = 2³ · 3² · 7 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
127512a (1 curve)	1	2+ 3+ 7+ 11+ 23+	2+ 3+ -1 7+ 11+ -7 -4 -5
Curve Equation t Generators 127512a1 [0,0,0,-4563,-132921] 1 [99:621:1]
127512b (2 curves)	0	2+ 3+ 7+ 11- 23+	2+ 3+  2 7+ 11-  2  8  4
Curve Equation t 127512b1 [0,0,0,189081,32510970] 2 127512b2 [0,0,0,-1107459,310229838] 2
127512c (1 curve)	0	2+ 3+ 7- 11+ 23+	2+ 3+  1 7- 11+ -1  6  7
Curve Equation t 127512c1 [0,0,0,513,-125253] 1
127512d (1 curve)	2	2+ 3+ 7- 11+ 23+	2+ 3+ -2 7- 11+ -1 -1 -3
Curve Equation t Generators 127512d1 [0,0,0,-4371,112446] 1 [-57:420:1]&[6:294:1]
127512e (4 curves)	2	2+ 3- 7+ 11+ 23+	2+ 3- -2 7+ 11+ -2 -6  4
Curve Equation t Generators 127512e1 [0,0,0,1689,8570] 2 [-2:72:1]&[7:144:1] 127512e2 [0,0,0,-7131,70310] 4 [-82:322:1]&[-17:432:1] 127512e3 [0,0,0,-65091,-6340066] 2 [-154:178:1]&[326:2662:1] 127512e4 [0,0,0,-90291,10432046] 2 [214:954:1]&[2294:108974:1]
127512f (6 curves)	1	2+ 3- 7+ 11+ 23-	2+ 3-  2 7+ 11+ -2  6  4
Curve Equation t Generators 127512f1 [0,0,0,-42474,-3761287] 2 [11357355089798795:-94667912255027016:41403781194875] 127512f2 [0,0,0,-701319,-226055590] 4 [3448095818:446210323020:205379] 127512f3 [0,0,0,-723099,-211266970] 4 [220955:7938864:125] 127512f4 [0,0,0,-11221059,-14467679602] 2 [2134333968283790:-271725819390875916:126128378375] 127512f5 [0,0,0,1023261,-1074318082] 2 [3729043398:227384690815:1061208] 127512f6 [0,0,0,-2817939,1598255822] 2 [52470030:1588452749:27000]
127512g (2 curves)	1	2+ 3- 7+ 11- 23+	2+ 3-  0 7+ 11- -4 -6 -8
Curve Equation t Generators 127512g1 [0,0,0,-570,569] 2 [-20:63:1] 127512g2 [0,0,0,2265,4538] 2 [7:144:1]
127512h (1 curve)	1	2+ 3- 7+ 11- 23+	2+ 3-  1 7+ 11- -5  0  2
Curve Equation t Generators 127512h1 [0,0,0,-867,17278] 1 [38:198:1]
127512i (4 curves)	1	2+ 3- 7+ 11- 23+	2+ 3-  2 7+ 11- -6  2  0
Curve Equation t Generators 127512i1 [0,0,0,16521,503498] 2 [1571:62480:1] 127512i2 [0,0,0,-78699,4369430] 4 [47:880:1] 127512i3 [0,0,0,-600339,-176013682] 2 [50498:3980295:8] 127512i4 [0,0,0,-1080579,432172190] 2 [4930:4345:8]
127512j (1 curve)	1	2+ 3- 7+ 11- 23+	2+ 3- -2 7+ 11- -1 -6  0
Curve Equation t Generators 127512j1 [0,0,0,249,-1181] 1 [15:-77:1]
127512k (2 curves)	1	2+ 3- 7+ 11- 23+	2+ 3-  4 7+ 11-  0 -6  0
Curve Equation t Generators 127512k1 [0,0,0,-190163658,-955908342695] 2 [1484198293357712555873143421229028940:233772171553530580791412920415874364405:46750836007611822462107126286709] 127512k2 [0,0,0,143371257,-3951385414310] 2 [94069769546187551209131535219113106233992134930487852907561637966708649155:16398245189984686770040087637019715255906930459314870852134448846024723509472:3135764144687491859505575610442654131127328063181659349872395876581125]
127512l (1 curve)	1	2+ 3- 7+ 11- 23+	2+ 3- -4 7+ 11- -5 -5  7
Curve Equation t Generators 127512l1 [0,0,0,-531227667,-4717889345090] 1 [273059290827589100914382187438141:892946606159455781510802758812535812:25533942314010744183617627]
127512m (2 curves)	0	2+ 3- 7+ 11- 23-	2+ 3-  0 7+ 11-  0  2 -4
Curve Equation t 127512m1 [0,0,0,-1335,-126614] 2 127512m2 [0,0,0,-46875,-3888218] 2
127512n (1 curve)	2	2+ 3- 7+ 11- 23-	2+ 3- -1 7+ 11-  1 -8 -5
Curve Equation t Generators 127512n1 [0,0,0,12694677,-29821627001] 1 [304195:-15554187:125]&[2555:138897:1]
127512o (1 curve)	1	2+ 3- 7- 11+ 23+	2+ 3- -2 7- 11+ -1  2  0
Curve Equation t Generators 127512o1 [0,0,0,-183231,41238531] 1 [33618:1127357:27]
127512p (2 curves)	1	2+ 3- 7- 11+ 23+	2+ 3-  4 7- 11+ -4  2  0
Curve Equation t Generators 127512p1 [0,0,0,-738,-7695] 2 [60:405:1] 127512p2 [0,0,0,-423,-14310] 2 [7395:51192:125]
127512q (1 curve)	2	2+ 3- 7- 11+ 23-	2+ 3- -1 7- 11+ -5 -4  5
Curve Equation t Generators 127512q1 [0,0,0,18537,800539] 1 [-33:391:1]&[-25:567:1]
127512r (1 curve)	2	2+ 3- 7- 11- 23+	2+ 3-  0 7- 11- -3  1 -7
Curve Equation t Generators 127512r1 [0,0,0,-11955,585758] 1 [194:4455:8]&[71:308:1]
127512s (4 curves)	0	2+ 3- 7- 11- 23+	2+ 3-  2 7- 11- -6  2  4
Curve Equation t 127512s1 [0,0,0,1086,-1087] 2 127512s2 [0,0,0,-4359,-8710] 4 127512s3 [0,0,0,-45939,3775070] 2 127512s4 [0,0,0,-49899,-4280362] 2
127512t (1 curve)	1	2+ 3- 7- 11- 23-	2+ 3-  1 7- 11- -2 -6 -2
Curve Equation t Generators 127512t1 [0,0,0,-3972,96388] 1 [38:18:1]
127512u (1 curve)	1	2+ 3- 7- 11- 23-	2+ 3-  1 7- 11-  3 -6  3
Curve Equation t Generators 127512u1 [0,0,0,-31655847,-107947052453] 1 [41702:8431731:1]
127512v (4 curves)	1	2+ 3- 7- 11- 23-	2+ 3- -2 7- 11-  2  6 -4
Curve Equation t Generators 127512v1 [0,0,0,-12666,439801] 2 [20:441:1] 127512v2 [0,0,0,-191271,32195770] 4 [62:4536:1] 127512v3 [0,0,0,-179931,36180646] 2 [-249:8096:1] 127512v4 [0,0,0,-3060291,2060592910] 2 [1074:3560:1]
127512w (2 curves)	1	2- 3+ 7+ 11+ 23-	2- 3+ -2 7+ 11+  2 -8  4
Curve Equation t Generators 127512w1 [0,0,0,21009,-1204110] 2 [243:4272:1] 127512w2 [0,0,0,-123051,-11489994] 2 [-194:2254:1]
127512x (1 curve)	2	2- 3+ 7+ 11- 23-	2- 3+  1 7+ 11- -7  4 -5
Curve Equation t Generators 127512x1 [0,0,0,-507,4923] 1 [13:-23:1]&[9:-33:1]
127512y (1 curve)	1	2- 3+ 7- 11- 23-	2- 3+ -1 7- 11- -1 -6  7
Curve Equation t Generators 127512y1 [0,0,0,57,4639] 1 [2:69:1]
127512z (1 curve)	1	2- 3+ 7- 11- 23-	2- 3+  2 7- 11- -1  1 -3
Curve Equation t Generators 127512z1 [0,0,0,-39339,-3036042] 1 [234:756:1]
127512ba (1 curve)	1	2- 3- 7+ 11+ 23+	2- 3- -3 7+ 11+  1  6 -3
Curve Equation t Generators 127512ba1 [0,0,0,-6219,132246] 1 [-5:404:1]
127512bb (4 curves)	0	2- 3- 7+ 11+ 23-	2- 3-  2 7+ 11+  6 -6 -4
Curve Equation t 127512bb1 [0,0,0,-14034,234677] 2 127512bb2 [0,0,0,-122079,-16252990] 4 127512bb3 [0,0,0,-25059,-41381170] 2 127512bb4 [0,0,0,-1947819,-1046335498] 2
127512bc (2 curves)	0	2- 3- 7+ 11- 23+	2- 3-  0 7+ 11-  4  6  0
Curve Equation t 127512bc1 [0,0,0,-90810,-10528299] 2 127512bc2 [0,0,0,-75375,-14223438] 2
127512bd (1 curve)	0	2- 3- 7+ 11- 23+	2- 3- -4 7+ 11- -3  3  7
Curve Equation t 127512bd1 [0,0,0,11013,200230] 1
127512be (1 curve)	1	2- 3- 7+ 11- 23-	2- 3-  0 7+ 11-  1 -7 -5
Curve Equation t Generators 127512be1 [0,0,0,-11595,15469526] 1 [1402:52488:1]
127512bf (2 curves)	1	2- 3- 7+ 11- 23-	2- 3-  0 7+ 11-  4  2  4
Curve Equation t Generators 127512bf1 [0,0,0,6225,-222766] 2 [53:506:1] 127512bf2 [0,0,0,-39315,-2199202] 2 [467:9016:1]
127512bg (1 curve)	1	2- 3- 7+ 11- 23-	2- 3-  3 7+ 11-  1  2  1
Curve Equation t Generators 127512bg1 [0,0,0,-172371,-28654477] 1 [2477:121417:1]
127512bh (1 curve)	1	2- 3- 7+ 11- 23-	2- 3-  4 7+ 11- -4 -2  4
Curve Equation t Generators 127512bh1 [0,0,0,-22203,1843830] 1 [27510:224675:216]
127512bi (2 curves)	0	2- 3- 7- 11+ 23+	2- 3-  0 7- 11+  0  6  0
Curve Equation t 127512bi1 [0,0,0,-76530,6699229] 2 127512bi2 [0,0,0,153105,39169618] 2
127512bj (1 curve)	0	2- 3- 7- 11+ 23+	2- 3-  3 7- 11+  3  0 -7
Curve Equation t 127512bj1 [0,0,0,-6051,-181253] 1
127512bk (2 curves)	1	2- 3- 7- 11+ 23-	2- 3-  0 7- 11+  2  4  0
Curve Equation t Generators 127512bk1 [0,0,0,-33375,-2351806] 2 [2465:122038:1] 127512bk2 [0,0,0,-534315,-150329482] 2 [860741:41033572:343]
127512bl (1 curve)	1	2- 3- 7- 11+ 23-	2- 3-  0 7- 11+  5 -2  6
Curve Equation t Generators 127512bl1 [0,0,0,11085,-481021] 1 [230:3773:1]
127512bm (1 curve)	1	2- 3- 7- 11- 23+	2- 3-  1 7- 11-  5 -4  4
Curve Equation t Generators 127512bm1 [0,0,0,105941733,-253498268522] 1 [29594:5366592:1]
127512bn (4 curves)	1	2- 3- 7- 11- 23+	2- 3- -2 7- 11-  2  2  4
Curve Equation t Generators 127512bn1 [0,0,0,-3666,45421] 2 [494:10899:1] 127512bn2 [0,0,0,-27471,-1720910] 4 [-103:126:1] 127512bn3 [0,0,0,1509,-5169530] 2 [219:2380:1] 127512bn4 [0,0,0,-437331,-111317474] 2 [2019:85064:1]
127512bo (1 curve)	1	2- 3- 7- 11- 23+	2- 3-  3 7- 11- -6  0  6
Curve Equation t Generators 127512bo1 [0,0,0,-703596,-227217692] 1 [440672:292531338:1]
127512bp (2 curves)	0	2- 3- 7- 11- 23-	2- 3-  0 7- 11-  4 -2  2
Curve Equation t 127512bp1 [0,0,0,8205,108862] 2 127512bp2 [0,0,0,-35355,901654] 2
127512bq (1 curve)	0	2- 3- 7- 11- 23-	2- 3- -1 7- 11-  5  6  7
Curve Equation t 127512bq1 [0,0,0,-1083,13606] 1
127512br (4 curves)	0	2- 3- 7- 11- 23-	2- 3- -2 7- 11- -2 -2  8
Curve Equation t 127512br1 [0,0,0,-15951,-775406] 2 127512br2 [0,0,0,-16131,-757010] 4 127512br3 [0,0,0,8709,-2878346] 2 127512br4 [0,0,0,-43851,2541670] 2
127512bs (1 curve)	0	2- 3- 7- 11- 23-	2- 3- -3 7- 11-  5 -4  6
Curve Equation t 127512bs1 [0,0,0,-22335339,-40646339386] 1

Data from Elliptic Curve Data by J. E. Cremona.
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