Cremona's table of elliptic curves

72270 = 2 · 3² · 5 · 11 · 73

Class	r	Atkin-Lehner	Eigenvalues
72270a (2 curves)	2	2+ 3+ 5+ 11+ 73-	2+ 3+ 5+  0 11+ -2 -4 -6
Curve Equation t Generators 72270a1 [1,-1,0,-150,36] 2 [-8:30:1]&[0:6:1] 72270a2 [1,-1,0,-1650,26136] 2 [18:36:1]&[-30:234:1]
72270b (1 curve)	0	2+ 3+ 5+ 11+ 73-	2+ 3+ 5+  3 11+  0  6 -2
Curve Equation t 72270b1 [1,-1,0,-1230,401876] 1
72270c (2 curves)	1	2+ 3+ 5- 11+ 73-	2+ 3+ 5- -1 11+ -4 -6  2
Curve Equation t Generators 72270c1 [1,-1,0,-10135869,18391131333] 3 [-1953:176289:1] 72270c2 [1,-1,0,82254756,-275198671792] 1 [880948:118690681:64]
72270d (2 curves)	1	2+ 3+ 5- 11+ 73-	2+ 3+ 5- -1 11+  5 -3 -4
Curve Equation t Generators 72270d1 [1,-1,0,-219,-8217] 3 [687:17649:1] 72270d2 [1,-1,0,-38544,-2903032] 1 [1535939470:38006054887:2197000]
72270e (2 curves)	1	2+ 3+ 5- 11+ 73-	2+ 3+ 5- -4 11+  2 -4 -4
Curve Equation t Generators 72270e1 [1,-1,0,10386,216020] 2 [76:-1238:1] 72270e2 [1,-1,0,-47694,1877108] 2 [-53:2089:1]
72270f (2 curves)	1	2+ 3+ 5- 11+ 73-	2+ 3+ 5- -4 11+ -2  0 -6
Curve Equation t Generators 72270f1 [1,-1,0,-112254,-5284972] 2 [-52:666:1] 72270f2 [1,-1,0,-976254,367790228] 2 [124:15706:1]
72270g (1 curve)	0	2+ 3+ 5- 11- 73-	2+ 3+ 5- -1 11-  4 -6 -6
Curve Equation t 72270g1 [1,-1,0,-3132612699,67485925741733] 1
72270h (2 curves)	0	2+ 3+ 5- 11- 73-	2+ 3+ 5-  4 11- -6  4  4
Curve Equation t 72270h1 [1,-1,0,-219,-1647] 2 72270h2 [1,-1,0,-3849,-90945] 2
72270i (1 curve)	0	2+ 3- 5+ 11+ 73+	2+ 3- 5+ -3 11+ -3 -3  8
Curve Equation t 72270i1 [1,-1,0,-3478749930,78974650436476] 1
72270j (2 curves)	1	2+ 3- 5+ 11+ 73-	2+ 3- 5+ -1 11+ -4  3  5
Curve Equation t Generators 72270j1 [1,-1,0,-22455,13742325] 1 [7051:588395:1] 72270j2 [1,-1,0,-5096205,4429464075] 3 [2995381684172911:241087504795219595:417000148111]
72270k (1 curve)	1	2+ 3- 5+ 11+ 73-	2+ 3- 5+ -3 11+  1 -1  0
Curve Equation t Generators 72270k1 [1,-1,0,90,486] 1 [-3:15:1]
72270l (8 curves)	0	2+ 3- 5+ 11- 73-	2+ 3- 5+  0 11- -2 -2  4
Curve Equation t 72270l1 [1,-1,0,-135630,-52183980] 2 72270l2 [1,-1,0,-3084750,-2081768364] 4 72270l3 [1,-1,0,-4017870,-717360300] 4 72270l4 [1,-1,0,-49337550,-133374966444] 2 72270l5 [1,-1,0,15584130,-5668825500] 2 72270l6 [1,-1,0,-38549790,91545023556] 4 72270l7 [1,-1,0,-13912290,207011131056] 2 72270l8 [1,-1,0,-615698010,5880457099800] 2
72270m (1 curve)	0	2+ 3- 5+ 11- 73-	2+ 3- 5+ -2 11-  2  7  1
Curve Equation t 72270m1 [1,-1,0,2970,4860] 1
72270n (1 curve)	1	2+ 3- 5- 11+ 73+	2+ 3- 5-  1 11+ -2 -1 -7
Curve Equation t Generators 72270n1 [1,-1,0,-10014,461420] 1 [-49:937:1]
72270o (4 curves)	0	2+ 3- 5- 11+ 73-	2+ 3- 5-  4 11+  2  6  8
Curve Equation t 72270o1 [1,-1,0,561,1133] 2 72270o2 [1,-1,0,-2319,10925] 4 72270o3 [1,-1,0,-22119,-1252315] 2 72270o4 [1,-1,0,-28599,1866293] 2
72270p (2 curves)	0	2+ 3- 5- 11- 73+	2+ 3- 5-  4 11-  2  2 -2
Curve Equation t 72270p1 [1,-1,0,-26784,1963008] 2 72270p2 [1,-1,0,-447264,115240320] 2
72270q (1 curve)	1	2- 3+ 5+ 11+ 73-	2- 3+ 5+ -1 11+  4  6 -6
Curve Equation t Generators 72270q1 [1,-1,1,-348068078,-2499362708483] 1 [18664261:4044437165:343]
72270r (2 curves)	1	2- 3+ 5+ 11+ 73-	2- 3+ 5+  4 11+ -6 -4  4
Curve Equation t Generators 72270r1 [1,-1,1,-1973,46441] 2 [-2936:124027:512] 72270r2 [1,-1,1,-34643,2490157] 2 [-226:14959:8]
72270s (2 curves)	0	2- 3+ 5+ 11- 73-	2- 3+ 5+ -1 11- -4  6  2
Curve Equation t 72270s1 [1,-1,1,9139417,10189496927] 3 72270s2 [1,-1,1,-91222823,-496469323169] 1
72270t (2 curves)	0	2- 3+ 5+ 11- 73-	2- 3+ 5+ -1 11-  5  3 -4
Curve Equation t 72270t1 [1,-1,1,-4283,108947] 3 72270t2 [1,-1,1,-1973,223831] 1
72270u (2 curves)	0	2- 3+ 5+ 11- 73-	2- 3+ 5+ -4 11-  2  4 -4
Curve Equation t 72270u1 [1,-1,1,93472,-5926013] 2 72270u2 [1,-1,1,-429248,-50252669] 2
72270v (2 curves)	2	2- 3+ 5+ 11- 73-	2- 3+ 5+ -4 11- -2  0 -6
Curve Equation t Generators 72270v1 [1,-1,1,-12473,199897] 2 [151:-1396:1]&[-97:748:1] 72270v2 [1,-1,1,-108473,-13585703] 2 [-197:428:1]&[-193:460:1]
72270w (2 curves)	1	2- 3+ 5- 11- 73-	2- 3+ 5-  0 11- -2  4 -6
Curve Equation t Generators 72270w1 [1,-1,1,-1352,379] 2 [-17:143:1] 72270w2 [1,-1,1,-14852,-690821] 2 [-67:43:1]
72270x (1 curve)	1	2- 3+ 5- 11- 73-	2- 3+ 5-  3 11-  0 -6 -2
Curve Equation t Generators 72270x1 [1,-1,1,-137,-14839] 1 [51:-356:1]
72270y (1 curve)	1	2- 3- 5+ 11+ 73+	2- 3- 5+  2 11+  6 -3 -7
Curve Equation t Generators 72270y1 [1,-1,1,-533,-16019] 1 [43:176:1]
72270z (1 curve)	1	2- 3- 5+ 11+ 73+	2- 3- 5+ -3 11+  0  3 -1
Curve Equation t Generators 72270z1 [1,-1,1,-16403,980331] 1 [21:792:1]
72270ba (4 curves)	2	2- 3- 5+ 11- 73+	2- 3- 5+  0 11- -6 -6 -4
Curve Equation t Generators 72270ba1 [1,-1,1,-496688,134814867] 2 [-763:8697:1]&[-387:16593:1] 72270ba2 [1,-1,1,-568688,93227667] 4 [1383:-44857:1]&[-807:5513:1] 72270ba3 [1,-1,1,1827112,672052947] 2 [987:-59113:1]&[1911:104589:1] 72270ba4 [1,-1,1,-4116488,-3148042413] 2 [-1293:4055:1]&[-1033:1605:1]
72270bb (1 curve)	0	2- 3- 5+ 11- 73+	2- 3- 5+  1 11-  0  4 -6
Curve Equation t 72270bb1 [1,-1,1,-3272018,-2277289519] 1
72270bc (2 curves)	2	2- 3- 5+ 11- 73+	2- 3- 5+ -4 11-  0 -4 -8
Curve Equation t Generators 72270bc1 [1,-1,1,-40253,3109637] 2 [-227:828:1]&[15:-1592:1] 72270bc2 [1,-1,1,-22973,5784581] 2 [-15:-2468:1]&[-165:2332:1]
72270bd (1 curve)	0	2- 3- 5+ 11- 73+	2- 3- 5+  5 11-  5  7  8
Curve Equation t 72270bd1 [1,-1,1,1282,997557] 1
72270be (1 curve)	1	2- 3- 5+ 11- 73-	2- 3- 5+ -1 11-  4  0 -6
Curve Equation t Generators 72270be1 [1,-1,1,-428,15207] 1 [-25:111:1]
72270bf (1 curve)	0	2- 3- 5- 11+ 73+	2- 3- 5-  1 11+  4 -7 -7
Curve Equation t 72270bf1 [1,-1,1,-24122,-1436039] 1
72270bg (1 curve)	0	2- 3- 5- 11+ 73+	2- 3- 5-  5 11+  0 -3  5
Curve Equation t 72270bg1 [1,-1,1,202273,-208942649] 1
72270bh (4 curves)	1	2- 3- 5- 11+ 73-	2- 3- 5-  0 11+ -2  6  0
Curve Equation t Generators 72270bh1 [1,-1,1,-101822,12531021] 4 [-109:4779:1] 72270bh2 [1,-1,1,-104702,11786829] 4 [-163:5031:1] 72270bh3 [1,-1,1,138298,58248429] 2 [-1:7623:1] 72270bh4 [1,-1,1,-393782,-82337619] 2 [-309:3279:1]
72270bi (4 curves)	1	2- 3- 5- 11+ 73-	2- 3- 5-  0 11+  6 -2 -8
Curve Equation t Generators 72270bi1 [1,-1,1,-7952,-219549] 4 [-61:219:1] 72270bi2 [1,-1,1,-120452,-16059549] 4 [10558:363267:8] 72270bi3 [1,-1,1,-113702,-17944149] 2 [38242680476:933294826491:48228544] 72270bi4 [1,-1,1,-1927202,-1029284949] 2 [-3041870676:1519117231:3796416]
72270bj (1 curve)	1	2- 3- 5- 11+ 73-	2- 3- 5- -2 11+  2  3  5
Curve Equation t Generators 72270bj1 [1,-1,1,306808,-62535221] 1 [51229:11570057:1]
72270bk (2 curves)	1	2- 3- 5- 11- 73+	2- 3- 5-  0 11- -6  6  4
Curve Equation t Generators 72270bk1 [1,-1,1,-35987,2634099] 2 [-43:2046:1] 72270bk2 [1,-1,1,-26987,3976899] 2 [-31:2202:1]
72270bl (1 curve)	1	2- 3- 5- 11- 73+	2- 3- 5-  1 11- -3  7  0
Curve Equation t Generators 72270bl1 [1,-1,1,-1652,27479] 1 [-3:-179:1]
72270bm (4 curves)	0	2- 3- 5- 11- 73-	2- 3- 5-  0 11-  6  6  4
Curve Equation t 72270bm1 [1,-1,1,122275138,20874163997261] 4 72270bm2 [1,-1,1,-10672241342,414632218348109] 4 72270bm3 [1,-1,1,-24390505022,-869693576595379] 2 72270bm4 [1,-1,1,-169666241342,26899343957548109] 2
72270bn (1 curve)	0	2- 3- 5- 11- 73-	2- 3- 5-  3 11-  6 -3  7
Curve Equation t 72270bn1 [1,-1,1,-16007,-816001] 1

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