Cremona's table of elliptic curves

36822 = 2 · 3 · 17 · 19²

Class	r	Atkin-Lehner	Eigenvalues
36822a (1 curve)	1	2+ 3+ 17+ 19+	2+ 3+ -1  4  2  4 17+ 19+
Curve Equation t Generators 36822a1 [1,1,0,-368,-4704] 1 [155:1844:1]
36822b (1 curve)	2	2+ 3+ 17+ 19-	2+ 3+  0 -3  0 -1 17+ 19-
Curve Equation t Generators 36822b1 [1,1,0,-45,141] 1 [5:6:1]&[2:7:1]
36822c (2 curves)	2	2+ 3+ 17+ 19-	2+ 3+ -2 -2 -4  0 17+ 19-
Curve Equation t Generators 36822c1 [1,1,0,-50186,1758420] 2 [-92:2414:1]&[207:438:1] 36822c2 [1,1,0,180854,13633876] 2 [-42:28513:8]&[55:4846:1]
36822d (2 curves)	0	2+ 3+ 17+ 19-	2+ 3+  3 -1  6  4 17+ 19-
Curve Equation t 36822d1 [1,1,0,2159,-242603] 1 36822d2 [1,1,0,-19501,6710257] 1
36822e (2 curves)	0	2+ 3+ 17+ 19-	2+ 3+ -3 -4  3 -2 17+ 19-
Curve Equation t 36822e1 [1,1,0,-1394,4602036] 1 36822e2 [1,1,0,-2135474,1200310644] 1
36822f (2 curves)	0	2+ 3+ 17- 19+	2+ 3+ -2 -4 -4  2 17- 19+
Curve Equation t 36822f1 [1,1,0,-5239561,-4615364795] 2 36822f2 [1,1,0,-4142121,-6602389659] 2
36822g (1 curve)	0	2+ 3+ 17- 19+	2+ 3+ -3  2  3  2 17- 19+
Curve Equation t 36822g1 [1,1,0,-6144,255216] 1
36822h (2 curves)	1	2+ 3+ 17- 19-	2+ 3+  1  3  2 -4 17- 19-
Curve Equation t Generators 36822h1 [1,1,0,-250154957,-1523057206563] 1 [2726162802:-29885991753:148877] 36822h2 [1,1,0,1298946583,-3545542010343] 1 [192455099034068488447535258400552600:-23231137942697240087046305958372020241:68737520826772873277152701078125]
36822i (6 curves)	1	2+ 3+ 17- 19-	2+ 3+ -2  0 -4  2 17- 19-
Curve Equation t Generators 36822i1 [1,1,0,-12281,-490971] 2 [-59:210:1] 36822i2 [1,1,0,-41161,2633845] 4 [245:2585:1] 36822i3 [1,1,0,81579,15472449] 2 [2739:133103:27] 36822i4 [1,1,0,-625981,190361065] 4 [-268:18545:1] 36822i5 [1,1,0,-593491,211044199] 2 [319:-7529:1] 36822i6 [1,1,0,-10015591,12195916411] 2 [2639:63119:1]
36822j (2 curves)	0	2+ 3- 17+ 19+	2+ 3-  2 -2  4 -4 17+ 19+
Curve Equation t 36822j1 [1,0,1,-12320,-178834] 2 36822j2 [1,0,1,-109600,13829486] 2
36822k (2 curves)	0	2+ 3- 17+ 19+	2+ 3-  3 -4 -6 -4 17+ 19+
Curve Equation t 36822k1 [1,0,1,-8463292,9485583098] 3 36822k2 [1,0,1,10981973,43631468438] 1
36822l (2 curves)	1	2+ 3- 17+ 19-	2+ 3- -2  2 -6 -2 17+ 19-
Curve Equation t Generators 36822l1 [1,0,1,-19502,480656] 2 [201:-2267:1] 36822l2 [1,0,1,-156682,-23553280] 2 [-236:659:1]
36822m (1 curve)	1	2+ 3- 17- 19+	2+ 3- -3  1  2  2 17- 19+
Curve Equation t Generators 36822m1 [1,0,1,-4055,-99718] 1 [87:412:1]
36822n (1 curve)	0	2+ 3- 17- 19-	2+ 3- -1  0  5 -2 17- 19-
Curve Equation t 36822n1 [1,0,1,-458839,-147827530] 1
36822o (2 curves)	0	2- 3+ 17+ 19+	2- 3+  2 -2  4  4 17+ 19+
Curve Equation t 36822o1 [1,1,1,-4447347,1217726001] 2 36822o2 [1,1,1,-39565427,-94935577039] 2
36822p (4 curves)	1	2- 3+ 17+ 19-	2- 3+  0  2  0 -2 17+ 19-
Curve Equation t Generators 36822p1 [1,1,1,-92243,-10817647] 2 [1689:67384:1] 36822p2 [1,1,1,-77803,-14300575] 2 [553:10314:1] 36822p3 [1,1,1,-270938,40925927] 2 [777:-17717:1] 36822p4 [1,1,1,653222,260506343] 2 [473:-26229:1]
36822q (2 curves)	1	2- 3+ 17+ 19-	2- 3+  3 -4 -6  4 17+ 19-
Curve Equation t Generators 36822q1 [1,1,1,-23444,-1392811] 1 [327:4939:1] 36822q2 [1,1,1,30421,-6348391] 1 [147:1078:1]
36822r (1 curve)	1	2- 3+ 17- 19+	2- 3+ -1  0  5  2 17- 19+
Curve Equation t Generators 36822r1 [1,1,1,-1271,21017] 1 [23:56:1]
36822s (1 curve)	1	2- 3+ 17- 19+	2- 3+ -3  1  2 -2 17- 19+
Curve Equation t Generators 36822s1 [1,1,1,-1463682,681036687] 1 [1233:26819:1]
36822t (1 curve)	0	2- 3+ 17- 19-	2- 3+  1 -3 -2  0 17- 19-
Curve Equation t 36822t1 [1,1,1,-1670535,-865615107] 1
36822u (4 curves)	0	2- 3+ 17- 19-	2- 3+ -2  0  4  6 17- 19-
Curve Equation t 36822u1 [1,1,1,-7769,257111] 4 36822u2 [1,1,1,-14989,-306049] 4 36822u3 [1,1,1,53601,-2254005] 2 36822u4 [1,1,1,-199099,-34255933] 2
36822v (1 curve)	1	2- 3- 17+ 19+	2- 3-  0 -3  0  1 17+ 19+
Curve Equation t Generators 36822v1 [1,0,0,-16433,-1098087] 1 [2406:35619:8]
36822w (2 curves)	1	2- 3- 17+ 19+	2- 3- -3 -4  3  2 17+ 19+
Curve Equation t Generators 36822w1 [1,0,0,-503422,-31569391804] 3 [3356:65714:1] 36822w2 [1,0,0,-770906302,-8239097957116] 1 [44510:6732662:1]
36822x (2 curves)	0	2- 3- 17+ 19-	2- 3-  0  0  4 -4 17+ 19-
Curve Equation t 36822x1 [1,0,0,-108488,12631104] 2 36822x2 [1,0,0,122552,59254976] 2
36822y (1 curve)	0	2- 3- 17+ 19-	2- 3- -1  4  2 -4 17+ 19-
Curve Equation t 36822y1 [1,0,0,-133036,31200944] 1
36822z (2 curves)	0	2- 3- 17+ 19-	2- 3-  2 -2 -4 -4 17+ 19-
Curve Equation t 36822z1 [1,0,0,-7047,-227355] 2 36822z2 [1,0,0,-3437,-459117] 2
36822ba (2 curves)	0	2- 3- 17+ 19-	2- 3-  2 -2  6  6 17+ 19-
Curve Equation t 36822ba1 [1,0,0,-54702730537,4739342821392857] 2 36822ba2 [1,0,0,-866070850857,310225444245963225] 2
36822bb (2 curves)	0	2- 3- 17+ 19-	2- 3-  4  2  0  2 17+ 19-
Curve Equation t 36822bb1 [1,0,0,-3492141,-2466482607] 2 36822bb2 [1,0,0,204499,-7423676847] 2
36822bc (2 curves)	0	2- 3- 17+ 19-	2- 3- -4 -2  0  6 17+ 19-
Curve Equation t 36822bc1 [1,0,0,-910,-6784] 2 36822bc2 [1,0,0,2700,-46494] 2
36822bd (2 curves)	2	2- 3- 17- 19+	2- 3- -2 -4 -4 -2 17- 19+
Curve Equation t Generators 36822bd1 [1,0,0,-14514,671364] 2 [-132:606:1]&[84:-258:1] 36822bd2 [1,0,0,-11474,961380] 2 [-122:802:1]&[208:2650:1]
36822be (1 curve)	1	2- 3- 17- 19-	2- 3- -3  2  3 -2 17- 19-
Curve Equation t Generators 36822be1 [1,0,0,-17,-39] 1 [12:33:1]

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