Cremona's table of elliptic curves

112560 = 2⁴ · 3 · 5 · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
112560a (1 curve)	1	2+ 3+ 5+ 7+ 67+	2+ 3+ 5+ 7+  0 -4  5  5
Curve Equation t Generators 112560a1 [0,-1,0,-3869201,-3334903299] 1 [1318695700:1013613363:571787]
112560b (1 curve)	1	2+ 3+ 5+ 7+ 67+	2+ 3+ 5+ 7+  3  4 -2  4
Curve Equation t Generators 112560b1 [0,-1,0,-8561,307965] 1 [-44:773:1]
112560c (2 curves)	1	2+ 3+ 5+ 7+ 67+	2+ 3+ 5+ 7+  6  6 -6 -4
Curve Equation t Generators 112560c1 [0,-1,0,84,0] 2 [16:72:1] 112560c2 [0,-1,0,-336,336] 2 [-4:40:1]
112560d (4 curves)	0	2+ 3+ 5+ 7+ 67-	2+ 3+ 5+ 7+  0  2 -2  4
Curve Equation t 112560d1 [0,-1,0,-17871,714546] 2 112560d2 [0,-1,0,-95996,-10816704] 4 112560d3 [0,-1,0,71504,-44718704] 2 112560d4 [0,-1,0,-1513496,-716164704] 2
112560e (1 curve)	0	2+ 3+ 5+ 7+ 67-	2+ 3+ 5+ 7+  5 -1 -2 -2
Curve Equation t 112560e1 [0,-1,0,-176,-849] 1
112560f (4 curves)	0	2+ 3+ 5+ 7- 67+	2+ 3+ 5+ 7-  0 -6  6  0
Curve Equation t 112560f1 [0,-1,0,-10071,366870] 2 112560f2 [0,-1,0,-32516,-1814784] 4 112560f3 [0,-1,0,67984,-10899984] 2 112560f4 [0,-1,0,-492136,-132714560] 2
112560g (1 curve)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7- -5  0 -2 -8
Curve Equation t Generators 112560g1 [0,-1,0,1960399,-1161502899] 1 [724:25235:1]
112560h (2 curves)	0	2+ 3+ 5- 7+ 67+	2+ 3+ 5- 7+  2 -2 -6  0
Curve Equation t 112560h1 [0,-1,0,-455,-2478] 2 112560h2 [0,-1,0,1220,-17888] 2
112560i (2 curves)	1	2+ 3+ 5- 7+ 67-	2+ 3+ 5- 7+  6  2  4  0
Curve Equation t Generators 112560i1 [0,-1,0,-5635,-379358] 2 [148426146:-1476224470:970299] 112560i2 [0,-1,0,-120540,-16052400] 2 [-147600:80740:729]
112560j (1 curve)	1	2+ 3+ 5- 7- 67+	2+ 3+ 5- 7-  4 -4 -7  5
Curve Equation t Generators 112560j1 [0,-1,0,-3585,-120483] 1 [84:405:1]
112560k (4 curves)	1	2+ 3+ 5- 7- 67+	2+ 3+ 5- 7- -4  2 -2  4
Curve Equation t Generators 112560k1 [0,-1,0,-1135,1870] 2 [1434:8036:27] 112560k2 [0,-1,0,-13140,582912] 4 [57:126:1] 112560k3 [0,-1,0,-8240,1018032] 2 [197:2646:1] 112560k4 [0,-1,0,-210120,37142400] 4 [20:5740:1]
112560l (2 curves)	0	2+ 3+ 5- 7- 67-	2+ 3+ 5- 7-  2  6  2  4
Curve Equation t 112560l1 [0,-1,0,-2975,63150] 2 112560l2 [0,-1,0,-1300,132160] 2
112560m (4 curves)	1	2+ 3- 5+ 7+ 67-	2+ 3- 5+ 7+  0  2  6  8
Curve Equation t Generators 112560m1 [0,1,0,-4151,100440] 2 [-68:270:1] 112560m2 [0,1,0,-7796,-106596] 4 [-18:168:1] 112560m3 [0,1,0,28384,-786780] 2 [1791:76146:1] 112560m4 [0,1,0,-102296,-12618396] 2 [414:4020:1]
112560n (1 curve)	1	2+ 3- 5+ 7+ 67-	2+ 3- 5+ 7+ -3 -3  2  4
Curve Equation t Generators 112560n1 [0,1,0,1224,-20385] 1 [17:75:1]
112560o (4 curves)	1	2+ 3- 5+ 7+ 67-	2+ 3- 5+ 7+ -4  2 -6 -4
Curve Equation t Generators 112560o1 [0,1,0,-231,900] 2 [0:30:1] 112560o2 [0,1,0,-1356,-18900] 4 [542:12600:1] 112560o3 [0,1,0,744,-70140] 2 [4330:100935:8] 112560o4 [0,1,0,-21456,-1216860] 2 [68755:1549674:125]
112560p (2 curves)	1	2+ 3- 5+ 7- 67+	2+ 3- 5+ 7- -2 -6  0  0
Curve Equation t Generators 112560p1 [0,1,0,-131,444] 2 [-22:225:8] 112560p2 [0,1,0,244,2844] 2 [54:420:1]
112560q (2 curves)	2	2+ 3- 5+ 7- 67-	2+ 3- 5+ 7- -4 -2 -4 -4
Curve Equation t Generators 112560q1 [0,1,0,-56,1764] 2 [-8:42:1]&[0:42:1] 112560q2 [0,1,0,-2576,49140] 2 [-18:300:1]&[22:60:1]
112560r (2 curves)	0	2+ 3- 5+ 7- 67-	2+ 3- 5+ 7- -6 -2  4  8
Curve Equation t 112560r1 [0,1,0,469,0] 2 112560r2 [0,1,0,-1876,-1876] 2
112560s (4 curves)	1	2+ 3- 5- 7+ 67+	2+ 3- 5- 7+  0 -2  6  4
Curve Equation t Generators 112560s1 [0,1,0,-72695,-7787832] 2 [141626998389804:818615437178805:432767422144] 112560s2 [0,1,0,-1172500,-489062500] 4 [58910:14295960:1] 112560s3 [0,1,0,-1181880,-480849372] 4 [1266:7320:1] 112560s4 [0,1,0,-18760000,-31281257500] 2 [-1135572402098610:1715931685:454047344856]
112560t (2 curves)	1	2+ 3- 5- 7+ 67+	2+ 3- 5- 7+  6 -2  0  4
Curve Equation t Generators 112560t1 [0,1,0,-31640,2181540] 2 [88:-294:1] 112560t2 [0,1,0,-507920,139159668] 2 [406:-180:1]
112560u (1 curve)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7-  1  1  2 -2
Curve Equation t Generators 112560u1 [0,1,0,-25650420,49994543343] 1 [133167:5630345:27]
112560v (1 curve)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7-  1 -4 -8 -2
Curve Equation t Generators 112560v1 [0,1,0,1575,-118125] 1 [150:1875:1]
112560w (2 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7- -2  2 -2  4
Curve Equation t Generators 112560w1 [0,1,0,-602260,182514908] 2 [131:10290:1] 112560w2 [0,1,0,-9678040,11585324900] 2 [1790:420:1]
112560x (2 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7- -2 -2  0  4
Curve Equation t Generators 112560x1 [0,1,0,10565,-942400] 2 [260:4410:1] 112560x2 [0,1,0,-104340,-11329812] 2 [-174:1260:1]
112560y (2 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7- -2 -2  6 -8
Curve Equation t Generators 112560y1 [0,1,0,-1260,-22932] 2 [714:6111:8] 112560y2 [0,1,0,-21840,-1249500] 2 [518:11256:1]
112560z (1 curve)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7- -5 -3 -2  6
Curve Equation t Generators 112560z1 [0,1,0,300,-184077] 1 [201:-2835:1]
112560ba (1 curve)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7- -5  4  0 -2
Curve Equation t Generators 112560ba1 [0,1,0,55,4083] 1 [-2:63:1]
112560bb (2 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+  3 -4  0 -2
Curve Equation t 112560bb1 [0,-1,0,-472781,-124967439] 1 112560bb2 [0,-1,0,-199421,-268002255] 1
112560bc (2 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+  3  5 -6 -2
Curve Equation t 112560bc1 [0,-1,0,-10066,438655] 1 112560bc2 [0,-1,0,-842206,297773131] 1
112560bd (1 curve)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+ -3  4  0  6
Curve Equation t 112560bd1 [0,-1,0,3219,-35919] 1
112560be (2 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+ -4 -2 -2  6
Curve Equation t 112560be1 [0,-1,0,-561,936] 2 112560be2 [0,-1,0,-6636,209916] 2
112560bf (4 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+  6  2  0 -2
Curve Equation t 112560bf1 [0,-1,0,-5584341,-5077464084] 2 112560bf2 [0,-1,0,-5583716,-5078658084] 2 112560bf3 [0,-1,0,-5664981,-4923185400] 2 112560bf4 [0,-1,0,4100644,-20134122900] 2
112560bg (2 curves)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+  0  6  6 -2
Curve Equation t Generators 112560bg1 [0,-1,0,-161,840] 2 [-12:30:1] 112560bg2 [0,-1,0,-236,60] 2 [-102:231:8]
112560bh (2 curves)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+  2 -6 -4 -4
Curve Equation t Generators 112560bh1 [0,-1,0,-22296,1851120] 2 [76:768:1] 112560bh2 [0,-1,0,-398616,96984816] 2 [236:4000:1]
112560bi (4 curves)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+ -4 -6  6  4
Curve Equation t Generators 112560bi1 [0,-1,0,-3416,77616] 2 [-14:350:1] 112560bi2 [0,-1,0,-5416,-21584] 4 [-44:360:1] 112560bi3 [0,-1,0,21384,-193104] 2 [90:1566:1] 112560bi4 [0,-1,0,-64216,-6230864] 2 [-142:66:1]
112560bj (4 curves)	1	2- 3+ 5+ 7- 67+	2- 3+ 5+ 7-  0  2 -2 -4
Curve Equation t Generators 112560bj1 [0,-1,0,744,-3024] 2 [18:126:1] 112560bj2 [0,-1,0,-3176,-21840] 4 [-12:120:1] 112560bj3 [0,-1,0,-28376,1832880] 2 [114:258:1] 112560bj4 [0,-1,0,-40696,-3143504] 2 [610:14094:1]
112560bk (2 curves)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  0 -4  0  4
Curve Equation t 112560bk1 [0,-1,0,-116855376,486224962560] 2 112560bk2 [0,-1,0,-110605376,540539962560] 2
112560bl (2 curves)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  2 -2  2  0
Curve Equation t 112560bl1 [0,-1,0,-336,-5184] 2 112560bl2 [0,-1,0,-7056,-225600] 2
112560bm (2 curves)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  2 -2 -4 -6
Curve Equation t 112560bm1 [0,-1,0,-290981,-31172400] 2 112560bm2 [0,-1,0,974644,-230634900] 2
112560bn (2 curves)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  4 -2  0 -4
Curve Equation t 112560bn1 [0,-1,0,36864,-8273664] 2 112560bn2 [0,-1,0,-457056,-107452800] 2
112560bo (2 curves)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  4  4 -6 -6
Curve Equation t 112560bo1 [0,-1,0,-621,-3780] 2 112560bo2 [0,-1,0,-8996,-325380] 2
112560bp (2 curves)	2	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7- -6  2 -2  4
Curve Equation t Generators 112560bp1 [0,-1,0,1784,44080] 2 [-6:182:1]&[-4:192:1] 112560bp2 [0,-1,0,-13336,479536] 2 [-84:1000:1]&[90:14:1]
112560bq (4 curves)	1	2- 3+ 5- 7+ 67+	2- 3+ 5- 7+  0  2  0  4
Curve Equation t Generators 112560bq1 [0,-1,0,-51640,-5337488] 2 [284:1680:1] 112560bq2 [0,-1,0,-868120,-311027600] 2 [-540:40:1] 112560bq3 [0,-1,0,369560,34786672] 2 [-268124:18677568:4913] 112560bq4 [0,-1,0,-1606120,290834800] 2 [-1260:17680:1]
112560br (4 curves)	1	2- 3+ 5- 7+ 67+	2- 3+ 5- 7+  0  2  6 -2
Curve Equation t Generators 112560br1 [0,-1,0,-8785,304192] 2 [44:30:1] 112560br2 [0,-1,0,-25660,-1194308] 2 [-998:1785:8] 112560br3 [0,-1,0,-701785,226518292] 2 [-6214:139113:8] 112560br4 [0,-1,0,-701860,226467532] 2 [-428281654:-9587716593:551368]
112560bs (4 curves)	1	2- 3+ 5- 7+ 67+	2- 3+ 5- 7+  0 -2  6  0
Curve Equation t Generators 112560bs1 [0,-1,0,-525400,-362000] 2 [-435:12070:1] 112560bs2 [0,-1,0,-5768280,5318015472] 4 [-1566:102510:1] 112560bs3 [0,-1,0,-3208280,10061183472] 2 [11514:1224510:1] 112560bs4 [0,-1,0,-92214360,340867119600] 4 [12770:1116050:1]
112560bt (2 curves)	1	2- 3+ 5- 7+ 67+	2- 3+ 5- 7+  0  4 -2 -2
Curve Equation t Generators 112560bt1 [0,-1,0,-17365,883600] 2 [0:940:1] 112560bt2 [0,-1,0,-25740,-47700] 2 [-1340:44415:64]
112560bu (2 curves)	1	2- 3+ 5- 7+ 67+	2- 3+ 5- 7+  3 -4 -6 -8
Curve Equation t Generators 112560bu1 [0,-1,0,-565,-6275] 1 [60:415:1] 112560bu2 [0,-1,0,4235,57085] 1 [91884:1214539:2197]
112560bv (4 curves)	0	2- 3+ 5- 7+ 67-	2- 3+ 5- 7+  0 -2  2 -4
Curve Equation t 112560bv1 [0,-1,0,-2240,-47040] 2 112560bv2 [0,-1,0,-37520,-2784768] 4 112560bv3 [0,-1,0,-39200,-2520000] 4 112560bv4 [0,-1,0,-600320,-178828608] 2
112560bw (2 curves)	0	2- 3+ 5- 7+ 67-	2- 3+ 5- 7+  2  6 -4  2
Curve Equation t 112560bw1 [0,-1,0,-1365,-18900] 2 112560bw2 [0,-1,0,-740,-36900] 2
112560bx (4 curves)	0	2- 3+ 5- 7+ 67-	2- 3+ 5- 7+ -4 -6  2  8
Curve Equation t 112560bx1 [0,-1,0,-22312914120,-1398995616387600] 2 112560bx2 [0,-1,0,-365910297800,-85193326525010448] 4 112560bx3 [0,-1,0,-374828436680,-80822282683011600] 4 112560bx4 [0,-1,0,-5854550297800,-5452407046077010448] 2
112560by (1 curve)	0	2- 3+ 5- 7- 67+	2- 3+ 5- 7- -1  5 -6  8
Curve Equation t 112560by1 [0,-1,0,-190,-4913] 1
112560bz (2 curves)	0	2- 3+ 5- 7- 67+	2- 3+ 5- 7-  4  4 -8  0
Curve Equation t 112560bz1 [0,-1,0,-29120,-1901568] 2 112560bz2 [0,-1,0,-22720,-2766848] 2
112560ca (1 curve)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7-  0  0 -3 -1
Curve Equation t Generators 112560ca1 [0,-1,0,-645685,651833917] 1 [-236:28125:1]
112560cb (4 curves)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7-  0  6  6 -4
Curve Equation t Generators 112560cb1 [0,-1,0,2400,-223488] 2 [7428:81081:64] 112560cb2 [0,-1,0,-43680,-3283200] 4 [-123:462:1] 112560cb3 [0,-1,0,-137760,15758592] 4 [773:19250:1] 112560cb4 [0,-1,0,-686880,-218883840] 2 [8026:80311:8]
112560cc (1 curve)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7- -5  0  2  4
Curve Equation t Generators 112560cc1 [0,-1,0,-168085,-26471843] 1 [5407258044:637198253447:389017]
112560cd (1 curve)	1	2- 3- 5+ 7+ 67+	2- 3- 5+ 7+ -3 -5  2  0
Curve Equation t Generators 112560cd1 [0,1,0,-129766,18015659] 1 [104377:894375:343]
112560ce (2 curves)	1	2- 3- 5+ 7+ 67+	2- 3- 5+ 7+  4  0  0  0
Curve Equation t Generators 112560ce1 [0,1,0,-2616,33684] 2 [-4:210:1] 112560ce2 [0,1,0,7384,237684] 2 [2892:40670:27]
112560cf (1 curve)	1	2- 3- 5+ 7+ 67+	2- 3- 5+ 7+  5  0  0  2
Curve Equation t Generators 112560cf1 [0,1,0,-1541,-27021] 1 [13820695249146:52516861560279:263005101143]
112560cg (2 curves)	1	2- 3- 5+ 7+ 67+	2- 3- 5+ 7+ -6 -2  8  6
Curve Equation t Generators 112560cg1 [0,1,0,-141,-666] 2 [54:390:1] 112560cg2 [0,1,0,84,-2376] 2 [426:3159:8]
112560ch (2 curves)	0	2- 3- 5+ 7- 67+	2- 3- 5+ 7-  2 -4  6 -6
Curve Equation t 112560ch1 [0,1,0,-816061,283394414] 2 112560ch2 [0,1,0,-703836,364241304] 2
112560ci (2 curves)	0	2- 3- 5+ 7- 67+	2- 3- 5+ 7- -4  4  4  0
Curve Equation t 112560ci1 [0,1,0,-265896,-52862220] 2 112560ci2 [0,1,0,-265496,-53028780] 2
112560cj (1 curve)	0	2- 3- 5+ 7- 67+	2- 3- 5+ 7-  5 -1 -6  6
Curve Equation t 112560cj1 [0,1,0,14,35] 1
112560ck (2 curves)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7- -2  0  2  2
Curve Equation t Generators 112560ck1 [0,1,0,-31421,2133330] 2 [196428:359857:1728] 112560ck2 [0,1,0,-31396,2136920] 2 [1978:24723:8]
112560cl (4 curves)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+  0  6  6  0
Curve Equation t 112560cl1 [0,1,0,-63400,-6165580] 2 112560cl2 [0,1,0,-64680,-5904972] 4 112560cl3 [0,1,0,64920,-26485452] 2 112560cl4 [0,1,0,-214760,31374900] 4
112560cm (2 curves)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+  2 -2  0  4
Curve Equation t 112560cm1 [0,1,0,-2696160,-1854953100] 2 112560cm2 [0,1,0,-44185440,-113062819212] 2
112560cn (2 curves)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+  2 -2  2  4
Curve Equation t 112560cn1 [0,1,0,41120,-6847372] 2 112560cn2 [0,1,0,-388960,-80649100] 2
112560co (2 curves)	2	2- 3- 5- 7+ 67+	2- 3- 5- 7+ -2 -6 -6  0
Curve Equation t Generators 112560co1 [0,1,0,-6280,514100] 2 [-100:390:1]&[110:-1080:1] 112560co2 [0,1,0,-142360,20599508] 2 [-394:3960:1]&[-124:6030:1]
112560cp (1 curve)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+  3  0 -6  0
Curve Equation t 112560cp1 [0,1,0,-5,63] 1
112560cq (1 curve)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+ -3 -1  2  8
Curve Equation t 112560cq1 [0,1,0,57150,50785623] 1
112560cr (2 curves)	1	2- 3- 5- 7+ 67-	2- 3- 5- 7+ -2 -6  4  2
Curve Equation t Generators 112560cr1 [0,1,0,-7645,254750] 2 [110:870:1] 112560cr2 [0,1,0,-7420,270680] 2 [874:7047:8]
112560cs (6 curves)	1	2- 3- 5- 7+ 67-	2- 3- 5- 7+ -4  6  2  4
Curve Equation t Generators 112560cs1 [0,1,0,-103920,-11308332] 2 [-171981:266500:729] 112560cs2 [0,1,0,-431600,97612500] 4 [-740:3510:1] 112560cs3 [0,1,0,597520,493206228] 2 [-1179828:9255150:2197] 112560cs4 [0,1,0,-6703600,6678194900] 8 [124700:44025930:1] 112560cs5 [0,1,0,-6502000,7098893780] 4 [6316412524:2230051355298:50653] 112560cs6 [0,1,0,-107257200,427515121620] 4 [180156507036:63446528943018:1442897]
112560ct (2 curves)	0	2- 3- 5- 7- 67-	2- 3- 5- 7-  0  0  0  4
Curve Equation t 112560ct1 [0,1,0,-160440,24681300] 2 112560ct2 [0,1,0,-154040,26747220] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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