Cremona's table of elliptic curves

56280 = 2³ · 3 · 5 · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
56280a (2 curves)	1	2+ 3+ 5+ 7+ 67+	2+ 3+ 5+ 7+  6 -2  4 -8
Curve Equation t Generators 56280a1 [0,-1,0,469,0] 2 [63:525:1] 56280a2 [0,-1,0,-1876,1876] 2 [-26:180:1]
56280b (4 curves)	0	2+ 3+ 5+ 7- 67+	2+ 3+ 5+ 7-  4  2 -6  4
Curve Equation t 56280b1 [0,-1,0,-231,-900] 2 56280b2 [0,-1,0,-1356,18900] 4 56280b3 [0,-1,0,744,70140] 2 56280b4 [0,-1,0,-21456,1216860] 2
56280c (2 curves)	0	2+ 3+ 5- 7+ 67+	2+ 3+ 5- 7+  2 -2  0 -4
Curve Equation t 56280c1 [0,-1,0,10565,942400] 2 56280c2 [0,-1,0,-104340,11329812] 2
56280d (2 curves)	0	2+ 3+ 5- 7+ 67+	2+ 3+ 5- 7+  2 -2  6  8
Curve Equation t 56280d1 [0,-1,0,-1260,22932] 2 56280d2 [0,-1,0,-21840,1249500] 2
56280e (1 curve)	0	2+ 3+ 5- 7+ 67+	2+ 3+ 5- 7+  5 -3 -2 -6
Curve Equation t 56280e1 [0,-1,0,300,184077] 1
56280f (1 curve)	0	2+ 3+ 5- 7+ 67+	2+ 3+ 5- 7+  5  4  0  2
Curve Equation t 56280f1 [0,-1,0,55,-4083] 1
56280g (1 curve)	0	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+  5  0 -2  8
Curve Equation t 56280g1 [0,1,0,1960399,1161502899] 1
56280h (4 curves)	1	2+ 3- 5+ 7- 67+	2+ 3- 5+ 7-  0  2 -2 -4
Curve Equation t Generators 56280h1 [0,1,0,-17871,-714546] 2 [150:48:1] 56280h2 [0,1,0,-95996,10816704] 4 [19:3000:1] 56280h3 [0,1,0,71504,44718704] 2 [-100:6048:1] 56280h4 [0,1,0,-1513496,716164704] 2 [775:3048:1]
56280i (1 curve)	1	2+ 3- 5+ 7- 67+	2+ 3- 5+ 7- -5 -1 -2  2
Curve Equation t Generators 56280i1 [0,1,0,-176,849] 1 [4:15:1]
56280j (2 curves)	0	2+ 3- 5+ 7- 67-	2+ 3- 5+ 7- -6  6 -6  4
Curve Equation t 56280j1 [0,1,0,84,0] 2 56280j2 [0,1,0,-336,-336] 2
56280k (1 curve)	2	2+ 3- 5- 7+ 67-	2+ 3- 5- 7+ -4 -4 -7 -5
Curve Equation t Generators 56280k1 [0,1,0,-3585,120483] 1 [6:-315:1]&[-57:378:1]
56280l (2 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7- -2 -2 -6  0
Curve Equation t Generators 56280l1 [0,1,0,-455,2478] 2 [1:45:1] 56280l2 [0,1,0,1220,17888] 2 [8:168:1]
56280m (2 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+  4 -2 -4  4
Curve Equation t 56280m1 [0,-1,0,-56,-1764] 2 56280m2 [0,-1,0,-2576,-49140] 2
56280n (2 curves)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+  2 -6  0  0
Curve Equation t Generators 56280n1 [0,-1,0,-131,-444] 2 [-7:9:1] 56280n2 [0,-1,0,244,-2844] 2 [16:70:1]
56280o (4 curves)	1	2- 3+ 5+ 7- 67+	2- 3+ 5+ 7-  0  2  6 -8
Curve Equation t Generators 56280o1 [0,-1,0,-4151,-100440] 2 [81:297:1] 56280o2 [0,-1,0,-7796,106596] 4 [-40:594:1] 56280o3 [0,-1,0,28384,786780] 2 [94:2068:1] 56280o4 [0,-1,0,-102296,12618396] 2 [310:3256:1]
56280p (1 curve)	1	2- 3+ 5+ 7- 67+	2- 3+ 5+ 7-  3 -3  2 -4
Curve Equation t Generators 56280p1 [0,-1,0,1224,20385] 1 [8:-175:1]
56280q (1 curve)	1	2- 3+ 5- 7+ 67+	2- 3+ 5- 7+ -1  1  2  2
Curve Equation t Generators 56280q1 [0,-1,0,-25650420,-49994543343] 1 [9932223737319118835317548:1677486631370530141666601765:337206291653784552147]
56280r (1 curve)	1	2- 3+ 5- 7+ 67+	2- 3+ 5- 7+ -1 -4 -8  2
Curve Equation t Generators 56280r1 [0,-1,0,1575,118125] 1 [-25:250:1]
56280s (2 curves)	1	2- 3+ 5- 7+ 67+	2- 3+ 5- 7+  2  2 -2 -4
Curve Equation t Generators 56280s1 [0,-1,0,-602260,-182514908] 2 [2248:99090:1] 56280s2 [0,-1,0,-9678040,-11585324900] 2 [449070:49912:125]
56280t (4 curves)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7-  0 -2  6 -4
Curve Equation t Generators 56280t1 [0,-1,0,-72695,7787832] 4 [129:735:1] 56280t2 [0,-1,0,-1172500,489062500] 4 [640:-630:1] 56280t3 [0,-1,0,-1181880,480849372] 2 [774:5400:1] 56280t4 [0,-1,0,-18760000,31281257500] 2 [2510:780:1]
56280u (2 curves)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7- -6 -2  0 -4
Curve Equation t Generators 56280u1 [0,-1,0,-31640,-2181540] 2 [26870:118832:125] 56280u2 [0,-1,0,-507920,-139159668] 2 [10846210:-1127024969:1000]
56280v (4 curves)	0	2- 3- 5+ 7+ 67-	2- 3- 5+ 7+  0 -6  6  0
Curve Equation t 56280v1 [0,1,0,-10071,-366870] 2 56280v2 [0,1,0,-32516,1814784] 4 56280v3 [0,1,0,67984,10899984] 2 56280v4 [0,1,0,-492136,132714560] 2
56280w (1 curve)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  0 -4  5 -5
Curve Equation t Generators 56280w1 [0,1,0,-3869201,3334903299] 1 [2149:70350:1]
56280x (1 curve)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7- -3  4 -2 -4
Curve Equation t Generators 56280x1 [0,1,0,-8561,-307965] 1 [1029:32886:1]
56280y (2 curves)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+ -2  6  2 -4
Curve Equation t 56280y1 [0,1,0,-2975,-63150] 2 56280y2 [0,1,0,-1300,-132160] 2
56280z (4 curves)	1	2- 3- 5- 7+ 67-	2- 3- 5- 7+  4  2 -2 -4
Curve Equation t Generators 56280z1 [0,1,0,-1135,-1870] 2 [127233821:-531300483:2924207] 56280z2 [0,1,0,-13140,-582912] 4 [1146:38610:1] 56280z3 [0,1,0,-8240,-1018032] 4 [266955624:-2411472844:1601613] 56280z4 [0,1,0,-210120,-37142400] 2 [2603120:81576000:2197]
56280ba (2 curves)	1	2- 3- 5- 7- 67+	2- 3- 5- 7- -6  2  4  0
Curve Equation t Generators 56280ba1 [0,1,0,-5635,379358] 2 [-49:735:1] 56280ba2 [0,1,0,-120540,16052400] 2 [-210:5670:1]

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