Cremona's table of elliptic curves

22344 = 2³ · 3 · 7² · 19

Class	r	Atkin-Lehner	Eigenvalues
22344a (1 curve)	2	2+ 3+ 7+ 19-	2+ 3+ -3 7+ -1  2 -6 19-
Curve Equation t Generators 22344a1 [0,-1,0,32128,52293564] 1 [-310:3528:1]&[82:7448:1]
22344b (1 curve)	2	2+ 3+ 7+ 19-	2+ 3+ -3 7+ -4 -4  3 19-
Curve Equation t Generators 22344b1 [0,-1,0,-457,3949] 1 [-23:42:1]&[28:-111:1]
22344c (1 curve)	0	2+ 3+ 7- 19+	2+ 3+  1 7- -3 -4  6 19+
Curve Equation t 22344c1 [0,-1,0,11205,-2371032] 1
22344d (2 curves)	0	2+ 3+ 7- 19+	2+ 3+ -2 7- -6  2  0 19+
Curve Equation t 22344d1 [0,-1,0,-242814224,1456003520028] 2 22344d2 [0,-1,0,-209872504,1865231919244] 2
22344e (1 curve)	0	2+ 3+ 7- 19+	2+ 3+  3 7- -1  2  5 19+
Curve Equation t 22344e1 [0,-1,0,-2809,-64259] 1
22344f (2 curves)	1	2+ 3+ 7- 19-	2+ 3+  0 7-  0  2  8 19-
Curve Equation t Generators 22344f1 [0,-1,0,1797,-134280] 2 [215:3185:1] 22344f2 [0,-1,0,-30788,-1932972] 2 [31530:313404:125]
22344g (2 curves)	1	2+ 3+ 7- 19-	2+ 3+  0 7-  6 -4  0 19-
Curve Equation t Generators 22344g1 [0,-1,0,-1388,-13740] 2 [-26:64:1] 22344g2 [0,-1,0,-8248,279868] 2 [-86:588:1]
22344h (1 curve)	1	2+ 3+ 7- 19-	2+ 3+ -1 7- -1  4 -2 19-
Curve Equation t Generators 22344h1 [0,-1,0,-1667416,829346764] 1 [-687:40622:1]
22344i (4 curves)	1	2+ 3+ 7- 19-	2+ 3+  2 7- -4 -2 -2 19-
Curve Equation t Generators 22344i1 [0,-1,0,1993,-25500] 2 [75:735:1] 22344i2 [0,-1,0,-10012,-217580] 4 [8489:782040:1] 22344i3 [0,-1,0,-71752,7265308] 4 [-302:1140:1] 22344i4 [0,-1,0,-140352,-20185668] 2 [229287:21107240:27]
22344j (4 curves)	1	2+ 3+ 7- 19-	2+ 3+ -2 7-  0 -2 -2 19-
Curve Equation t Generators 22344j1 [0,-1,0,-8444,301428] 2 [61:98:1] 22344j2 [0,-1,0,-9424,228124] 4 [89:294:1] 22344j3 [0,-1,0,27816,1553868] 2 [12714:509571:8] 22344j4 [0,-1,0,-62344,-5804756] 2 [1601:63210:1]
22344k (1 curve)	1	2+ 3+ 7- 19-	2+ 3+ -3 7-  3 -4 -4 19-
Curve Equation t Generators 22344k1 [0,-1,0,-1518232,-719895476] 1 [3153255:299451286:343]
22344l (1 curve)	1	2+ 3+ 7- 19-	2+ 3+ -3 7-  3 -4  6 19-
Curve Equation t Generators 22344l1 [0,-1,0,3708,126036] 1 [882:26244:1]
22344m (1 curve)	0	2+ 3- 7+ 19+	2+ 3-  1 7+ -1 -4  2 19+
Curve Equation t 22344m1 [0,1,0,-81703400,-284302533264] 1
22344n (1 curve)	0	2+ 3- 7+ 19+	2+ 3-  3 7+  3  4  4 19+
Curve Equation t 22344n1 [0,1,0,-30984,2089968] 1
22344o (1 curve)	0	2+ 3- 7+ 19+	2+ 3-  3 7+  3  4 -6 19+
Curve Equation t 22344o1 [0,1,0,181676,-43593712] 1
22344p (1 curve)	1	2+ 3- 7+ 19-	2+ 3- -1 7+ -3  4 -6 19-
Curve Equation t Generators 22344p1 [0,1,0,229,6978] 1 [-11:57:1]
22344q (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  2  4  0 19+
Curve Equation t Generators 22344q1 [0,1,0,-1173468,-385705440] 2 [2067:77616:1] 22344q2 [0,1,0,-17644328,-28531111008] 2 [20428:2852388:1]
22344r (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7- -4 -2  0 19+
Curve Equation t Generators 22344r1 [0,1,0,-2123,39906] 2 [9:147:1] 22344r2 [0,1,0,-34708,2477264] 2 [80:468:1]
22344s (4 curves)	1	2+ 3- 7- 19+	2+ 3-  2 7-  0  2 -2 19+
Curve Equation t Generators 22344s1 [0,1,0,15713,425438] 2 [37:1029:1] 22344s2 [0,1,0,-72732,3574080] 4 [-192:3240:1] 22344s3 [0,1,0,-575472,-165748752] 2 [-3398:11955:8] 22344s4 [0,1,0,-985112,375825120] 2 [-740:26460:1]
22344t (4 curves)	1	2+ 3- 7- 19+	2+ 3-  2 7- -4 -2  6 19+
Curve Equation t Generators 22344t1 [0,1,0,-213607,14812622] 4 [-166:6762:1] 22344t2 [0,1,0,-1821052,-936151840] 4 [-5702:3795:8] 22344t3 [0,1,0,-312832,-2438338960] 2 [3211834:-2035095315:8] 22344t4 [0,1,0,-29048392,-60269971168] 2 [4884972829:-3095014435590:12167]
22344u (4 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7-  4  6 -6 19+
Curve Equation t Generators 22344u1 [0,1,0,-2319,41670] 4 [18:78:1] 22344u2 [0,1,0,-4524,-52704] 4 [-150:1287:8] 22344u3 [0,1,0,16056,-381984] 2 [127662:3173885:216] 22344u4 [0,1,0,-60384,-5728080] 2 [-1510498:610779:10648]
22344v (1 curve)	1	2+ 3- 7- 19+	2+ 3-  3 7- -1 -2  6 19+
Curve Equation t Generators 22344v1 [0,1,0,656,-152272] 1 [116:1224:1]
22344w (1 curve)	1	2+ 3- 7- 19+	2+ 3-  3 7- -4  4 -3 19+
Curve Equation t Generators 22344w1 [0,1,0,-22409,-1309701] 1 [255:3102:1]
22344x (2 curves)	1	2+ 3- 7- 19+	2+ 3- -4 7- -4  4 -6 19+
Curve Equation t Generators 22344x1 [0,1,0,-800,-8016] 2 [51:294:1] 22344x2 [0,1,0,1160,-39376] 2 [1210:15219:8]
22344y (1 curve)	0	2- 3+ 7+ 19+	2- 3+ -1 7+ -1  0  2 19+
Curve Equation t 22344y1 [0,-1,0,-18636,-975708] 1
22344z (1 curve)	1	2- 3+ 7+ 19-	2- 3+ -3 7+  3 -2 -6 19-
Curve Equation t Generators 22344z1 [0,-1,0,-1192,-30596] 1 [49:162:1]
22344ba (2 curves)	1	2- 3+ 7- 19+	2- 3+  4 7-  2  4 -4 19+
Curve Equation t Generators 22344ba1 [0,-1,0,-8836,-314012] 2 [117:490:1] 22344ba2 [0,-1,0,-15696,248508] 2 [-58:980:1]
22344bb (2 curves)	0	2- 3+ 7- 19-	2- 3+  4 7-  4 -2  4 19-
Curve Equation t 22344bb1 [0,-1,0,-1731,19188] 2 22344bb2 [0,-1,0,4884,125028] 2
22344bc (2 curves)	0	2- 3- 7- 19+	2- 3-  0 7-  0  2  0 19+
Curve Equation t 22344bc1 [0,1,0,-2123,-38298] 2 22344bc2 [0,1,0,-1388,-64464] 2
22344bd (1 curve)	0	2- 3- 7- 19+	2- 3- -1 7- -5  2  1 19+
Curve Equation t 22344bd1 [0,1,0,2679,-37269] 1
22344be (2 curves)	0	2- 3- 7- 19+	2- 3- -2 7-  6  2  8 19+
Curve Equation t 22344be1 [0,1,0,-7464,-236160] 2 22344be2 [0,1,0,6256,-993504] 2
22344bf (1 curve)	0	2- 3- 7- 19+	2- 3-  3 7-  3  2  6 19+
Curve Equation t 22344bf1 [0,1,0,-58424,10611264] 1
22344bg (2 curves)	0	2- 3- 7- 19+	2- 3-  4 7-  0  2 -4 19+
Curve Equation t 22344bg1 [0,1,0,-5215331,4582539702] 2 22344bg2 [0,1,0,-5208716,4594750992] 2
22344bh (1 curve)	1	2- 3- 7- 19-	2- 3-  1 7- -1  0 -2 19-
Curve Equation t Generators 22344bh1 [0,1,0,-380,2736] 1 [10:6:1]
22344bi (4 curves)	1	2- 3- 7- 19-	2- 3-  2 7-  0  2 -6 19-
Curve Equation t Generators 22344bi1 [0,1,0,-4132,28832] 2 [184:2352:1] 22344bi2 [0,1,0,-52152,4561920] 4 [5997:53900:27] 22344bi3 [0,1,0,-38432,7031520] 2 [-29:2850:1] 22344bi4 [0,1,0,-834192,292978272] 2 [229442925:284749388:421875]
22344bj (4 curves)	1	2- 3- 7- 19-	2- 3- -2 7- -4  6 -2 19-
Curve Equation t Generators 22344bj1 [0,1,0,-45684,-3773568] 2 [2144:98784:1] 22344bj2 [0,1,0,-46664,-3604224] 4 [163400:1923237:512] 22344bj3 [0,1,0,49376,-16435168] 2 [1103:37164:1] 22344bj4 [0,1,0,-158384,20080416] 2 [2283524088:-21044562435:6229504]

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