Cremona's table of elliptic curves

50160 = 2⁴ · 3 · 5 · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
50160a (1 curve)	1	2+ 3+ 5+ 11+ 19+	2+ 3+ 5+  2 11+ -5  1 19+
Curve Equation t Generators 50160a1 [0,-1,0,39,261] 1 [-4:5:1]
50160b (2 curves)	1	2+ 3+ 5+ 11+ 19+	2+ 3+ 5+ -2 11+  6 -8 19+
Curve Equation t Generators 50160b1 [0,-1,0,207384,20802816] 2 [4278:281394:1] 50160b2 [0,-1,0,-968736,179814240] 2 [-932:16500:1]
50160c (2 curves)	2	2+ 3+ 5+ 11+ 19-	2+ 3+ 5+ -2 11+  0  0 19-
Curve Equation t Generators 50160c1 [0,-1,0,109,44166] 2 [-30:114:1]&[46:380:1] 50160c2 [0,-1,0,-18116,926256] 2 [-140:836:1]&[970:-5643:8]
50160d (2 curves)	1	2+ 3+ 5+ 11- 19-	2+ 3+ 5+  0 11- -2  8 19-
Curve Equation t Generators 50160d1 [0,-1,0,-1156,-16160] 2 [2196:102872:1] 50160d2 [0,-1,0,-18976,-999824] 2 [166:630:1]
50160e (2 curves)	1	2+ 3+ 5+ 11- 19-	2+ 3+ 5+ -4 11-  2 -4 19-
Curve Equation t Generators 50160e1 [0,-1,0,-396,33696] 2 [8:176:1] 50160e2 [0,-1,0,-18216,946080] 2 [54:342:1]
50160f (2 curves)	1	2+ 3+ 5+ 11- 19-	2+ 3+ 5+ -4 11- -6  4 19-
Curve Equation t Generators 50160f1 [0,-1,0,-11632156,-15316765760] 2 [6096:374528:1] 50160f2 [0,-1,0,-186285976,-978567513824] 2 [80566:22515570:1]
50160g (6 curves)	1	2+ 3+ 5- 11+ 19-	2+ 3+ 5-  0 11+ -2  2 19-
Curve Equation t Generators 50160g1 [0,-1,0,-3455,-198978] 2 [71688:731745:512] 50160g2 [0,-1,0,-76660,-8134400] 4 [565:11340:1] 50160g3 [0,-1,0,-98440,-3116288] 8 [-76:1980:1] 50160g4 [0,-1,0,-1226160,-522190800] 2 [515655:-11007900:343] 50160g5 [0,-1,0,378080,-24845600] 4 [2090:99450:1] 50160g6 [0,-1,0,-923440,339423712] 4 [674:4770:1]
50160h (2 curves)	1	2+ 3+ 5- 11+ 19-	2+ 3+ 5- -2 11+  2 -6 19-
Curve Equation t Generators 50160h1 [0,-1,0,-760,9472] 2 [12:-44:1] 50160h2 [0,-1,0,-12640,551200] 2 [-30:950:1]
50160i (4 curves)	1	2+ 3+ 5- 11+ 19-	2+ 3+ 5-  4 11+ -2  2 19-
Curve Equation t Generators 50160i1 [0,-1,0,-116820,-15681600] 2 [5639715:66134880:12167] 50160i2 [0,-1,0,-1881000,-992331648] 4 [1854:43470:1] 50160i3 [0,-1,0,-1892880,-979149600] 4 [636230:14905150:343] 50160i4 [0,-1,0,-30096000,-63539343648] 2 [22754:-3321430:1]
50160j (4 curves)	0	2+ 3+ 5- 11- 19-	2+ 3+ 5-  4 11-  6  6 19-
Curve Equation t 50160j1 [0,-1,0,2860,11520] 2 50160j2 [0,-1,0,-11720,104832] 4 50160j3 [0,-1,0,-114320,-14751648] 2 50160j4 [0,-1,0,-142400,20700000] 4
50160k (4 curves)	2	2+ 3+ 5- 11- 19-	2+ 3+ 5- -4 11- -2 -6 19-
Curve Equation t Generators 50160k1 [0,-1,0,-1460,-4608] 2 [-27:120:1]&[-16:120:1] 50160k2 [0,-1,0,-13960,635392] 4 [-98:1026:1]&[-96:1040:1] 50160k3 [0,-1,0,-4960,1434592] 4 [-116:660:1]&[-108:836:1] 50160k4 [0,-1,0,-222960,40596192] 2 [274:30:1]&[949:26130:1]
50160l (2 curves)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+  2 11+  4 -4 19+
Curve Equation t 50160l1 [0,1,0,949,8040] 2 50160l2 [0,1,0,-4676,66540] 2
50160m (2 curves)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+  2 11+ -4  8 19+
Curve Equation t 50160m1 [0,1,0,-7493771,9626093604] 2 50160m2 [0,1,0,-127067996,551249503164] 2
50160n (2 curves)	2	2+ 3- 5+ 11+ 19+	2+ 3- 5+ -2 11+ -2 -6 19+
Curve Equation t Generators 50160n1 [0,1,0,-5576,158340] 2 [46:-36:1]&[-56:546:1] 50160n2 [0,1,0,-4576,217940] 2 [-74:396:1]&[-58:540:1]
50160o (2 curves)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+ -2 11-  2  0 19+
Curve Equation t Generators 50160o1 [0,1,0,-105696,-18249660] 2 [456:5346:1] 50160o2 [0,1,0,-1862616,-978933516] 2 [5780:425898:1]
50160p (2 curves)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+ -2 11- -2 -2 19+
Curve Equation t Generators 50160p1 [0,1,0,-56,-540] 2 [16:54:1] 50160p2 [0,1,0,-1376,-20076] 2 [60:342:1]
50160q (2 curves)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+ -2 11-  4  4 19+
Curve Equation t Generators 50160q1 [0,1,0,-233051,43221324] 2 [-4150:39831:8] 50160q2 [0,1,0,-213196,50909180] 2 [314:3876:1]
50160r (1 curve)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+ -2 11-  7 -5 19+
Curve Equation t Generators 50160r1 [0,1,0,-55241,4978995] 1 [142:135:1]
50160s (1 curve)	0	2+ 3- 5- 11+ 19-	2+ 3- 5- -2 11+  5 -3 19-
Curve Equation t 50160s1 [0,1,0,-2783945,1792404675] 1
50160t (4 curves)	0	2+ 3- 5- 11+ 19-	2+ 3- 5-  4 11+  2  6 19-
Curve Equation t 50160t1 [0,1,0,-48775,-4162432] 2 50160t2 [0,1,0,-49380,-4054500] 4 50160t3 [0,1,0,30040,-15776892] 4 50160t4 [0,1,0,-138480,14585220] 2
50160u (4 curves)	0	2+ 3- 5- 11- 19+	2+ 3- 5-  0 11-  6  2 19+
Curve Equation t 50160u1 [0,1,0,-375,2628] 2 50160u2 [0,1,0,-780,-4500] 4 50160u3 [0,1,0,2640,-30492] 4 50160u4 [0,1,0,-10680,-428220] 2
50160v (4 curves)	0	2+ 3- 5- 11- 19+	2+ 3- 5-  0 11-  6  6 19+
Curve Equation t 50160v1 [0,1,0,-3135,66528] 2 50160v2 [0,1,0,-3140,66300] 4 50160v3 [0,1,0,-1240,147620] 4 50160v4 [0,1,0,-5120,-29532] 2
50160w (4 curves)	0	2+ 3- 5- 11- 19+	2+ 3- 5-  4 11-  2  2 19+
Curve Equation t 50160w1 [0,1,0,-1935,-33012] 2 50160w2 [0,1,0,-3740,36300] 4 50160w3 [0,1,0,13360,289380] 2 50160w4 [0,1,0,-49720,4248068] 4
50160x (4 curves)	1	2+ 3- 5- 11- 19-	2+ 3- 5-  0 11- -2 -2 19-
Curve Equation t Generators 50160x1 [0,1,0,-394855,-47968900] 2 [740:8100:1] 50160x2 [0,1,0,-3052060,2018273708] 4 [11:44550:1] 50160x3 [0,1,0,-4840,5868740900] 2 [695:78750:1] 50160x4 [0,1,0,-48614560,130449848708] 4 [6326:-275880:1]
50160y (4 curves)	0	2- 3+ 5+ 11+ 19+	2- 3+ 5+  0 11+  6  6 19+
Curve Equation t 50160y1 [0,-1,0,-7096,300400] 2 50160y2 [0,-1,0,-122616,16565616] 4 50160y3 [0,-1,0,-131736,13968240] 2 50160y4 [0,-1,0,-1961816,1058288496] 2
50160z (2 curves)	0	2- 3+ 5+ 11+ 19+	2- 3+ 5+  0 11+ -6  0 19+
Curve Equation t 50160z1 [0,-1,0,359624,-46484624] 2 50160z2 [0,-1,0,-1667896,-396840080] 2
50160ba (2 curves)	0	2- 3+ 5+ 11+ 19+	2- 3+ 5+  2 11+ -2  2 19+
Curve Equation t 50160ba1 [0,-1,0,-388816,81234880] 2 50160ba2 [0,-1,0,635184,435948480] 2
50160bb (2 curves)	0	2- 3+ 5+ 11+ 19+	2- 3+ 5+  2 11+ -2 -4 19+
Curve Equation t 50160bb1 [0,-1,0,-15456,-739584] 2 50160bb2 [0,-1,0,-247776,-47389440] 2
50160bc (2 curves)	0	2- 3+ 5+ 11+ 19+	2- 3+ 5+ -4 11+  6  0 19+
Curve Equation t 50160bc1 [0,-1,0,-44096,9683520] 2 50160bc2 [0,-1,0,-1002416,386111616] 2
50160bd (2 curves)	1	2- 3+ 5+ 11+ 19-	2- 3+ 5+  2 11+  2 -2 19-
Curve Equation t Generators 50160bd1 [0,-1,0,-676136,214147440] 2 [-782:16250:1] 50160bd2 [0,-1,0,-576136,279587440] 2 [396:-10648:1]
50160be (2 curves)	1	2- 3+ 5+ 11- 19+	2- 3+ 5+  2 11-  2  2 19+
Curve Equation t Generators 50160be1 [0,-1,0,-4104936,-3201878160] 2 [1851369286409403642:44363459527493032566:708229544894353] 50160be2 [0,-1,0,-65690856,-204908083344] 2 [374141104560878262466262526057130:-80314982847724796472212080155783866:7867702621700313354659776841]
50160bf (1 curve)	1	2- 3+ 5+ 11- 19+	2- 3+ 5+  2 11- -3 -3 19+
Curve Equation t Generators 50160bf1 [0,-1,0,219,3981] 1 [-4:55:1]
50160bg (4 curves)	1	2- 3+ 5+ 11- 19+	2- 3+ 5+ -2 11-  2 -6 19+
Curve Equation t Generators 50160bg1 [0,-1,0,8264,173680] 2 [34:702:1] 50160bg2 [0,-1,0,-39256,1542256] 2 [210:1586:1] 50160bg3 [0,-1,0,-169576,27358576] 2 [228:-704:1] 50160bg4 [0,-1,0,-2725096,1732401520] 2 [-1422:52250:1]
50160bh (2 curves)	1	2- 3+ 5+ 11- 19+	2- 3+ 5+ -2 11- -2  0 19+
Curve Equation t Generators 50160bh1 [0,-1,0,-15056,-4948800] 2 [376:6512:1] 50160bh2 [0,-1,0,-537776,-150892224] 2 [970:15466:1]
50160bi (2 curves)	1	2- 3+ 5+ 11- 19+	2- 3+ 5+ -4 11-  2  2 19+
Curve Equation t Generators 50160bi1 [0,-1,0,-401,4776] 2 [20:66:1] 50160bi2 [0,-1,0,-7276,241276] 2 [-27:646:1]
50160bj (1 curve)	0	2- 3+ 5+ 11- 19-	2- 3+ 5+  2 11-  5  7 19-
Curve Equation t 50160bj1 [0,-1,0,110419,15325425] 1
50160bk (2 curves)	0	2- 3+ 5- 11+ 19-	2- 3+ 5-  2 11+ -1  3 19-
Curve Equation t 50160bk1 [0,-1,0,28315,1147917] 1 50160bk2 [0,-1,0,-4567685,3759003117] 1
50160bl (4 curves)	0	2- 3+ 5- 11+ 19-	2- 3+ 5-  2 11+ -6 -2 19-
Curve Equation t 50160bl1 [0,-1,0,-436400,-128040000] 2 50160bl2 [0,-1,0,-7279280,-7556670528] 2 50160bl3 [0,-1,0,-1026800,10477398720] 2 50160bl4 [0,-1,0,-78331280,264221623872] 2
50160bm (4 curves)	0	2- 3+ 5- 11+ 19-	2- 3+ 5- -4 11+  2  6 19-
Curve Equation t 50160bm1 [0,-1,0,-360,-11088] 2 50160bm2 [0,-1,0,-10040,-382800] 4 50160bm3 [0,-1,0,-14440,-9680] 2 50160bm4 [0,-1,0,-160520,-24700368] 2
50160bn (2 curves)	0	2- 3+ 5- 11- 19+	2- 3+ 5-  0 11- -2 -4 19+
Curve Equation t 50160bn1 [0,-1,0,-61484225,-185543377500] 2 50160bn2 [0,-1,0,-61106980,-187932998228] 2
50160bo (8 curves)	0	2- 3+ 5- 11- 19+	2- 3+ 5-  4 11-  2  6 19+
Curve Equation t 50160bo1 [0,-1,0,-1384120,-549587600] 2 50160bo2 [0,-1,0,-21384120,-38053587600] 4 50160bo3 [0,-1,0,-27934120,56763852400] 2 50160bo4 [0,-1,0,-20624120,-40884435600] 2 50160bo5 [0,-1,0,-342144120,-2435798739600] 2 50160bo6 [0,-1,0,-36126120,20758374000] 4 50160bo7 [0,-1,0,139464280,163197306480] 2 50160bo8 [0,-1,0,-342788520,-2426162248080] 2
50160bp (4 curves)	2	2- 3+ 5- 11- 19+	2- 3+ 5- -4 11-  2 -2 19+
Curve Equation t Generators 50160bp1 [0,-1,0,-760,7600] 2 [-30:50:1]&[-20:120:1] 50160bp2 [0,-1,0,-2760,-46800] 4 [-38:42:1]&[-30:90:1] 50160bp3 [0,-1,0,4840,-265680] 2 [52:352:1]&[122:1458:1] 50160bp4 [0,-1,0,-42360,-3341520] 2 [-118:2:1]&[281:2620:1]
50160bq (6 curves)	1	2- 3+ 5- 11- 19-	2- 3+ 5-  0 11- -2  2 19-
Curve Equation t Generators 50160bq1 [0,-1,0,-15680,-750528] 2 [184:1600:1] 50160bq2 [0,-1,0,-15760,-742400] 4 [-75:110:1] 50160bq3 [0,-1,0,960,-2253888] 2 [229:3150:1] 50160bq4 [0,-1,0,-33760,1288000] 8 [-8:1248:1] 50160bq5 [0,-1,0,111440,9303040] 4 [597:16978:1] 50160bq6 [0,-1,0,-466960,122930560] 4 [3546:13481:8]
50160br (2 curves)	1	2- 3- 5+ 11+ 19+	2- 3- 5+  0 11+  2  4 19+
Curve Equation t Generators 50160br1 [0,1,0,2984,-900076] 2 [92:402:1] 50160br2 [0,1,0,-123736,-16258540] 2 [4316:282606:1]
50160bs (2 curves)	1	2- 3- 5+ 11+ 19+	2- 3- 5+  4 11+ -2 -4 19+
Curve Equation t Generators 50160bs1 [0,1,0,-496,-5356] 2 [50:312:1] 50160bs2 [0,1,0,-8416,-299980] 2 [116:546:1]
50160bt (2 curves)	0	2- 3- 5+ 11+ 19-	2- 3- 5+  0 11+ -2  6 19-
Curve Equation t 50160bt1 [0,1,0,39,-90] 2 50160bt2 [0,1,0,-236,-1080] 2
50160bu (2 curves)	0	2- 3- 5+ 11+ 19-	2- 3- 5+  2 11+  4 -6 19-
Curve Equation t 50160bu1 [0,1,0,-4141,91034] 2 50160bu2 [0,1,0,-15636,-658440] 2
50160bv (2 curves)	0	2- 3- 5+ 11+ 19-	2- 3- 5+  4 11+ -6  2 19-
Curve Equation t 50160bv1 [0,1,0,2399,144590] 2 50160bv2 [0,1,0,-30876,1888200] 2
50160bw (4 curves)	0	2- 3- 5+ 11- 19+	2- 3- 5+  0 11-  2 -6 19+
Curve Equation t 50160bw1 [0,1,0,704,-8140] 2 50160bw2 [0,1,0,-4416,-83916] 4 50160bw3 [0,1,0,-25536,1495860] 2 50160bw4 [0,1,0,-65216,-6431436] 2
50160bx (1 curve)	0	2- 3- 5+ 11- 19+	2- 3- 5+ -2 11-  3  7 19+
Curve Equation t 50160bx1 [0,1,0,-461,-4665] 1
50160by (2 curves)	1	2- 3- 5+ 11- 19-	2- 3- 5+  2 11- -4  2 19-
Curve Equation t Generators 50160by1 [0,1,0,-287581,-51928690] 2 [-226:1254:1] 50160by2 [0,1,0,-4437276,-3599087976] 2 [13359:1523610:1]
50160bz (2 curves)	0	2- 3- 5- 11+ 19+	2- 3- 5-  2 11+ -6  2 19+
Curve Equation t 50160bz1 [0,1,0,-58800,2812500] 2 50160bz2 [0,1,0,197200,20937300] 2
50160ca (4 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5-  0 11+ -2 -2 19-
Curve Equation t Generators 50160ca1 [0,1,0,1920,-3852] 2 [18:192:1] 50160ca2 [0,1,0,-7760,-38700] 4 [-62:456:1] 50160ca3 [0,1,0,-79040,8486388] 4 [-209:3990:1] 50160ca4 [0,1,0,-91360,-10639180] 2 [-172:126:1]
50160cb (2 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5-  2 11+ -2  6 19-
Curve Equation t Generators 50160cb1 [0,1,0,440,-9100] 2 [20:90:1] 50160cb2 [0,1,0,-4840,-116812] 2 [196:2550:1]
50160cc (1 curve)	1	2- 3- 5- 11+ 19-	2- 3- 5- -2 11+  1  1 19-
Curve Equation t Generators 50160cc1 [0,1,0,-2205,62775] 1 [75:570:1]
50160cd (2 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5- -2 11+ -2 -2 19-
Curve Equation t Generators 50160cd1 [0,1,0,-44120,-3249900] 2 [-140:450:1] 50160cd2 [0,1,0,55880,-15769900] 2 [1070:-35640:1]
50160ce (2 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5- -2 11+ -2 -2 19-
Curve Equation t Generators 50160ce1 [0,1,0,-23057240,42678300180] 2 [2668:12654:1] 50160ce2 [0,1,0,-369087320,2729117429268] 2 [561912636:-16494090:50653]
50160cf (2 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5- -4 11+  2  4 19-
Curve Equation t Generators 50160cf1 [0,1,0,-1145,-15102] 2 [58:342:1] 50160cf2 [0,1,0,-100,-40600] 2 [215:3150:1]
50160cg (4 curves)	1	2- 3- 5- 11- 19+	2- 3- 5-  0 11- -6 -2 19+
Curve Equation t Generators 50160cg1 [0,1,0,-1160,6900] 2 [-20:150:1] 50160cg2 [0,1,0,-9160,-335500] 4 [-52:54:1] 50160cg3 [0,1,0,-360,-944460] 2 [828:23814:1] 50160cg4 [0,1,0,-145960,-21512140] 2 [868:22506:1]
50160ch (2 curves)	1	2- 3- 5- 11- 19+	2- 3- 5-  4 11- -6 -8 19+
Curve Equation t Generators 50160ch1 [0,1,0,-305,-1650] 2 [70:570:1] 50160ch2 [0,1,0,740,-9592] 2 [31:210:1]
50160ci (4 curves)	0	2- 3- 5- 11- 19-	2- 3- 5- -4 11-  2 -6 19-
Curve Equation t 50160ci1 [0,1,0,-106760,-15106572] 2 50160ci2 [0,1,0,-1765640,-903602700] 4 50160ci3 [0,1,0,-1823240,-841555980] 4 50160ci4 [0,1,0,-28250120,-57802859532] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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