Cremona's table of elliptic curves

72075 = 3 · 5² · 31²

Class	r	Atkin-Lehner	Eigenvalues
72075a (2 curves)	1	3+ 5+ 31+	0 3+ 5+  4  3  4  0 -4
Curve Equation t Generators 72075a1 [0,-1,1,-993033,-180311407] 1 [99306:11027471:8] 72075a2 [0,-1,1,-68022783,-215915561782] 1 [109866:9599471:8]
72075b (1 curve)	0	3+ 5+ 31-	0 3+ 5+  0  3  4 -7  3
Curve Equation t 72075b1 [0,-1,1,-3203,-8587] 1
72075c (1 curve)	2	3+ 5+ 31-	0 3+ 5+  0 -5  4 -3 -5
Curve Equation t Generators 72075c1 [0,-1,1,-1033,13113] 1 [381:-928:27]&[138:87:8]
72075d (1 curve)	0	3+ 5+ 31-	0 3+ 5+ -3 -2 -3 -4 -4
Curve Equation t 72075d1 [0,-1,1,-103,-372] 1
72075e (2 curves)	0	3+ 5+ 31-	1 3+ 5+  0  0 -4 -4  4
Curve Equation t 72075e1 [1,1,0,-5150,-275625] 2 72075e2 [1,1,0,-102025,-12578750] 2
72075f (8 curves)	0	3+ 5+ 31-	1 3+ 5+  0  4 -2  2  4
Curve Equation t 72075f1 [1,1,0,-500,-694125] 2 72075f2 [1,1,0,-120625,-15950000] 4 72075f3 [1,1,0,-240750,20928375] 4 72075f4 [1,1,0,-1922500,-1026801875] 2 72075f5 [1,1,0,840375,158231250] 2 72075f6 [1,1,0,-3243875,2246244000] 4 72075f7 [1,1,0,-2643250,3104537125] 2 72075f8 [1,1,0,-51894500,143868213375] 2
72075g (1 curve)	0	3+ 5+ 31-	1 3+ 5+  2  2  0  7 -8
Curve Equation t 72075g1 [1,1,0,-14915,-737370] 1
72075h (1 curve)	0	3+ 5+ 31-	1 3+ 5+  5  2  6 -2 -5
Curve Equation t 72075h1 [1,1,0,-2825,61500] 1
72075i (1 curve)	0	3+ 5+ 31-	-1 3+ 5+ -1  4  6  2  1
Curve Equation t 72075i1 [1,1,1,1827802,170912846] 1
72075j (2 curves)	0	3+ 5+ 31-	-1 3+ 5+  2  4  0  2 -8
Curve Equation t 72075j1 [1,1,1,-180688,-71057344] 2 72075j2 [1,1,1,-3904563,-2968232094] 2
72075k (1 curve)	0	3+ 5+ 31-	2 3+ 5+ -4  1  6 -1 -5
Curve Equation t 72075k1 [0,-1,1,-56058,5123153] 1
72075l (1 curve)	0	3+ 5+ 31-	-2 3+ 5+  0 -3  2 -1  7
Curve Equation t 72075l1 [0,-1,1,-6206458,-5796659682] 1
72075m (2 curves)	0	3+ 5+ 31-	-2 3+ 5+  3 -2  1  2 -5
Curve Equation t 72075m1 [0,-1,1,1602,-109492] 1 72075m2 [0,-1,1,-200208,35409068] 1
72075n (1 curve)	0	3+ 5+ 31-	-2 3+ 5+ -4  5 -6 -5 -5
Curve Equation t 72075n1 [0,-1,1,-61002678,-76256353222] 1
72075o (1 curve)	0	3+ 5- 31+	0 3+ 5- -2 -3  2  6 -4
Curve Equation t 72075o1 [0,-1,1,-80083,-8676807] 1
72075p (1 curve)	0	3+ 5- 31+	0 3+ 5-  3  2 -3 -4 -4
Curve Equation t 72075p1 [0,-1,1,-2482583,1513306943] 1
72075q (1 curve)	0	3+ 5- 31+	1 3+ 5-  1 -4  6  2  1
Curve Equation t 72075q1 [1,1,0,47550,-694125] 1
72075r (1 curve)	2	3+ 5- 31+	-1 3+ 5- -5 -2  6 -2 -5
Curve Equation t Generators 72075r1 [1,1,1,-108613,-14982994] 1 [400:2202:1]&[9230:294411:8]
72075s (1 curve)	1	3+ 5- 31-	0 3+ 5-  0  5  4 -3 -5
Curve Equation t Generators 72075s1 [0,-1,1,-24825833,-47541298432] 1 [8839012658:1267823576913:405224]
72075t (1 curve)	1	3+ 5- 31-	0 3+ 5-  2  3  2  6 -4
Curve Equation t Generators 72075t1 [0,-1,1,-3078403,2075314158] 1 [7706:13541:8]
72075u (1 curve)	1	3+ 5- 31-	-1 3+ 5-  2 -2  4  3 -4
Curve Equation t Generators 72075u1 [1,1,1,323837,-241586794] 1 [8770737988:783239735626:1092727]
72075v (1 curve)	1	3+ 5- 31-	2 3+ 5-  0  3  2 -1  7
Curve Equation t Generators 72075v1 [0,-1,1,-258,1643] 1 [106:151:8]
72075w (1 curve)	0	3- 5+ 31+	0 3- 5+ -3  2  3  4 -4
Curve Equation t 72075w1 [0,1,1,-99303,12066734] 1
72075x (1 curve)	0	3- 5+ 31+	1 3- 5+  5 -2 -6  2 -5
Curve Equation t 72075x1 [1,0,1,-2715326,-1867443577] 1
72075y (1 curve)	2	3- 5+ 31+	-1 3- 5+ -1 -4 -6 -2  1
Curve Equation t Generators 72075y1 [1,0,0,1902,-5553] 1 [111:-1311:1]&[6:75:1]
72075z (1 curve)	1	3- 5+ 31-	0 3- 5+  0  5 -4  3 -5
Curve Equation t Generators 72075z1 [0,1,1,-993033,-380727601] 1 [188955:4960139:125]
72075ba (2 curves)	1	3- 5+ 31-	0 3- 5+  4 -3 -4  0 -4
Curve Equation t Generators 72075ba1 [0,1,1,-1033,5719] 1 [-7:112:1] 72075ba2 [0,1,1,-70783,7224844] 1 [148:112:1]
72075bb (2 curves)	1	3- 5+ 31-	1 3- 5+  0  0  4  4  4
Curve Equation t Generators 72075bb1 [1,0,1,-4949651,8146801073] 2 [172651296:-11825613907:32768] 72075bb2 [1,0,1,-98046526,373458938573] 2 [42926:323533:8]
72075bc (1 curve)	1	3- 5+ 31-	1 3- 5+ -2 -2 -4 -3 -4
Curve Equation t Generators 72075bc1 [1,0,1,8095924,-30214541077] 1 [3561:207442:1]
72075bd (4 curves)	1	3- 5+ 31-	1 3- 5+  4  4  2 -6 -4
Curve Equation t Generators 72075bd1 [1,0,1,-240751,45282773] 2 [93347627826:33232741229:311665752] 72075bd2 [1,0,1,-360876,-4689227] 4 [266785037101066847:-3431856150014328134:388074529133621] 72075bd3 [1,0,1,1440999,-37122977] 2 [43194509557294379129702010473125796:-3702954804623357112674313819136064987:249717314101395491617324470302528] 72075bd4 [1,0,1,-4084751,-3169982977] 2 [-10289774957:19411587189:9129329]
72075be (1 curve)	1	3- 5+ 31-	-2 3- 5+  0  3 -2  1  7
Curve Equation t Generators 72075be1 [0,1,1,-6458,192494] 1 [72:325:1]
72075bf (1 curve)	1	3- 5- 31+	0 3- 5-  2 -3 -2 -6 -4
Curve Equation t Generators 72075bf1 [0,1,1,-3203,-70696] 1 [-32:7:1]
72075bg (1 curve)	0	3- 5- 31-	0 3- 5-  0  3 -4  7  3
Curve Equation t 72075bg1 [0,1,1,-80083,-1233506] 1
72075bh (1 curve)	2	3- 5- 31-	0 3- 5-  0 -5 -4  3 -5
Curve Equation t Generators 72075bh1 [0,1,1,-25833,1587494] 1 [258:-3488:1]&[14:1108:1]
72075bi (1 curve)	0	3- 5- 31-	0 3- 5- -2  3 -2 -6 -4
Curve Equation t 72075bi1 [0,1,1,-76960083,259260349619] 1
72075bj (1 curve)	0	3- 5- 31-	0 3- 5-  3 -2  3  4 -4
Curve Equation t 72075bj1 [0,1,1,-2583,-51631] 1
72075bk (1 curve)	0	3- 5- 31-	1 3- 5-  1  4 -6 -2  1
Curve Equation t 72075bk1 [1,0,1,45695049,21272715673] 1
72075bl (1 curve)	2	3- 5- 31-	-1 3- 5- -2  2  0 -7 -8
Curve Equation t Generators 72075bl1 [1,0,0,-372888,-91425483] 1 [1227:-36651:1]&[948:19707:1]
72075bm (1 curve)	2	3- 5- 31-	-1 3- 5- -5  2 -6  2 -5
Curve Equation t Generators 72075bm1 [1,0,0,-113,492] 1 [7:4:1]&[-34:257:8]
72075bn (1 curve)	0	3- 5- 31-	2 3- 5-  0 -3 -2  1  7
Curve Equation t 72075bn1 [0,1,1,-248258,-46472581] 1
72075bo (2 curves)	0	3- 5- 31-	2 3- 5- -3 -2 -1 -2 -5
Curve Equation t 72075bo1 [0,1,1,-8008,280069] 1 72075bo2 [0,1,1,40042,-13606381] 1
72075bp (1 curve)	0	3- 5- 31-	2 3- 5-  4  5  6  5 -5
Curve Equation t 72075bp1 [0,1,1,-1525066958,-9535094286631] 1
72075bq (1 curve)	0	3- 5- 31-	-2 3- 5-  4  1 -6  1 -5
Curve Equation t 72075bq1 [0,1,1,-1401458,637591244] 1

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