Cremona's table of elliptic curves

105120 = 2⁵ · 3² · 5 · 73

Class	r	Atkin-Lehner	Eigenvalues
105120a (2 curves)	2	2+ 3+ 5+ 73-	2+ 3+ 5+  0  2 -6 -2 -4
Curve Equation t Generators 105120a1 [0,0,0,27,728] 2 [-7:14:1]&[4:30:1] 105120a2 [0,0,0,-1068,12992] 2 [-34:100:1]&[-32:120:1]
105120b (2 curves)	2	2+ 3+ 5+ 73-	2+ 3+ 5+  0 -2 -6 -2  4
Curve Equation t Generators 105120b1 [0,0,0,27,-728] 2 [11:30:1]&[33:190:1] 105120b2 [0,0,0,-1068,-12992] 2 [-19:21:1]&[-18:20:1]
105120c (2 curves)	1	2+ 3+ 5- 73-	2+ 3+ 5-  2  4 -6 -6  8
Curve Equation t Generators 105120c1 [0,0,0,-137997,-21006864] 2 [33507:6133050:1] 105120c2 [0,0,0,-2247372,-1296756864] 2 [1782:18900:1]
105120d (2 curves)	1	2+ 3+ 5- 73-	2+ 3+ 5- -2 -4 -6 -6 -8
Curve Equation t Generators 105120d1 [0,0,0,-137997,21006864] 2 [193:1250:1] 105120d2 [0,0,0,-2247372,1296756864] 2 [918:-2700:1]
105120e (2 curves)	2	2+ 3- 5+ 73+	2+ 3- 5+ -2 -2 -4  0 -4
Curve Equation t Generators 105120e1 [0,0,0,-5493,156692] 2 [-29:540:1]&[16:270:1] 105120e2 [0,0,0,-5763,140438] 2 [-11:450:1]&[14:250:1]
105120f (4 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+  0  4  6 -2 -8
Curve Equation t Generators 105120f1 [0,0,0,-1596513,776433112] 4 [1411212:7184879:1728] 105120f2 [0,0,0,-1563708,809867968] 2 [178:222723:8] 105120f3 [0,0,0,-1629363,742814422] 2 [3391566204:-1655876123:3796416] 105120f4 [0,0,0,-25544163,49691903002] 2 [1518273478596:-162387480437:519718464]
105120g (4 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+  0 -4  6 -2  8
Curve Equation t Generators 105120g1 [0,0,0,-1596513,-776433112] 4 [661600583804645407:42141763365350814360:148514932911493] 105120g2 [0,0,0,-1563708,-809867968] 2 [3865187904:416779440200:328509] 105120g3 [0,0,0,-1629363,-742814422] 2 [2401978586006160506507767147452:-118833148496147944354792708770197:785089692659923997539856832] 105120g4 [0,0,0,-25544163,-49691903002] 2 [1302741072019251410447432063748:28476253099013516134129641201157:215203306479111949503486528]
105120h (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+  3  4  0  4 -2
Curve Equation t Generators 105120h1 [0,0,0,-3,-2918] 1 [5222:8154:343]
105120i (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+ -3 -4  0  4  2
Curve Equation t Generators 105120i1 [0,0,0,-3,2918] 1 [1:-54:1]
105120j (1 curve)	1	2+ 3- 5- 73+	2+ 3- 5-  1  5  0  2 -8
Curve Equation t Generators 105120j1 [0,0,0,-147,-394] 1 [41:250:1]
105120k (1 curve)	1	2+ 3- 5- 73+	2+ 3- 5-  1  6  2  2 -4
Curve Equation t Generators 105120k1 [0,0,0,-60627,5783146] 1 [122:450:1]
105120l (1 curve)	1	2+ 3- 5- 73+	2+ 3- 5- -1 -5  0  2  8
Curve Equation t Generators 105120l1 [0,0,0,-147,394] 1 [-30:239:8]
105120m (1 curve)	1	2+ 3- 5- 73+	2+ 3- 5- -1 -6  2  2  4
Curve Equation t Generators 105120m1 [0,0,0,-60627,-5783146] 1 [313:2430:1]
105120n (2 curves)	1	2+ 3- 5- 73+	2+ 3- 5-  2 -2 -4  4  4
Curve Equation t Generators 105120n1 [0,0,0,-18597,-100636] 2 [289:4320:1] 105120n2 [0,0,0,-215427,-38403754] 2 [1597:60750:1]
105120o (4 curves)	0	2+ 3- 5- 73-	2+ 3- 5-  0  0  2 -6 -4
Curve Equation t 105120o1 [0,0,0,-16437,-809116] 4 105120o2 [0,0,0,-9867,-1462174] 2 105120o3 [0,0,0,-23187,-81466] 4 105120o4 [0,0,0,-262812,-51858016] 2
105120p (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5-  2 -6 -4 -1  1
Curve Equation t 105120p1 [0,0,0,213,1186] 1
105120q (2 curves)	1	2- 3+ 5+ 73-	2- 3+ 5+  2 -4 -6  6  8
Curve Equation t Generators 105120q1 [0,0,0,-15333,778032] 2 [288:4500:1] 105120q2 [0,0,0,-249708,48028032] 2 [-144:9000:1]
105120r (2 curves)	1	2- 3+ 5+ 73-	2- 3+ 5+ -2  4 -6  6 -8
Curve Equation t Generators 105120r1 [0,0,0,-15333,-778032] 2 [2150592:17352852:12167] 105120r2 [0,0,0,-249708,-48028032] 2 [50402:3987625:8]
105120s (2 curves)	0	2- 3+ 5- 73-	2- 3+ 5-  0  2 -6  2  4
Curve Equation t 105120s1 [0,0,0,243,19656] 2 105120s2 [0,0,0,-9612,350784] 2
105120t (2 curves)	0	2- 3+ 5- 73-	2- 3+ 5-  0 -2 -6  2 -4
Curve Equation t 105120t1 [0,0,0,243,-19656] 2 105120t2 [0,0,0,-9612,-350784] 2
105120u (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+  2  2 -4  0  4
Curve Equation t Generators 105120u1 [0,0,0,-5493,-156692] 2 [104:630:1] 105120u2 [0,0,0,-5763,-140438] 2 [7842:244769:8]
105120v (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+  1  5  6  2  2
Curve Equation t 105120v1 [0,0,0,-9003,-328498] 1
105120w (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+ -1 -5  6  2 -2
Curve Equation t 105120w1 [0,0,0,-9003,328498] 1
105120x (2 curves)	0	2- 3- 5- 73+	2- 3- 5- -2  2 -4  4 -4
Curve Equation t 105120x1 [0,0,0,-18597,100636] 2 105120x2 [0,0,0,-215427,38403754] 2
105120y (2 curves)	0	2- 3- 5- 73+	2- 3- 5-  4  0  4  4  0
Curve Equation t 105120y1 [0,0,0,-135417,19172824] 2 105120y2 [0,0,0,-113547,25571986] 2
105120z (2 curves)	0	2- 3- 5- 73+	2- 3- 5- -4  0  4  4  0
Curve Equation t 105120z1 [0,0,0,-135417,-19172824] 2 105120z2 [0,0,0,-113547,-25571986] 2
105120ba (4 curves)	1	2- 3- 5- 73-	2- 3- 5-  0  0  2 -6  4
Curve Equation t Generators 105120ba1 [0,0,0,-16437,809116] 4 [95:324:1] 105120ba2 [0,0,0,-9867,1462174] 2 [-67:1350:1] 105120ba3 [0,0,0,-23187,81466] 2 [170:1026:1] 105120ba4 [0,0,0,-262812,51858016] 4 [2462:119700:1]
105120bb (2 curves)	1	2- 3- 5- 73-	2- 3- 5-  2  2 -6  6 -4
Curve Equation t Generators 105120bb1 [0,0,0,-13687497,-19491002136] 2 [179211:11521000:27] 105120bb2 [0,0,0,-13687452,-19491136704] 2 [24522:3793500:1]
105120bc (2 curves)	1	2- 3- 5- 73-	2- 3- 5- -2 -2 -6  6  4
Curve Equation t Generators 105120bc1 [0,0,0,-13687497,19491002136] 2 [2137:-80:1] 105120bc2 [0,0,0,-13687452,19491136704] 2 [1978:12500:1]
105120bd (1 curve)	1	2- 3- 5- 73-	2- 3- 5- -2  6 -4 -1 -1
Curve Equation t Generators 105120bd1 [0,0,0,213,-1186] 1 [5:2:1]
105120be (1 curve)	1	2- 3- 5- 73-	2- 3- 5-  3  2  2  2 -4
Curve Equation t Generators 105120be1 [0,0,0,147813,-46913726] 1 [27821570:7923740616:343]
105120bf (1 curve)	1	2- 3- 5- 73-	2- 3- 5- -3 -2  2  2  4
Curve Equation t Generators 105120bf1 [0,0,0,147813,46913726] 1 [9605:-957906:125]

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