Cremona's table of elliptic curves

83904 = 2⁶ · 3 · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
83904a (1 curve)	1	2+ 3+ 19+ 23+	2+ 3+ -1  1  3  6 -5 19+
Curve Equation t Generators 83904a1 [0,-1,0,-1861,31687] 1 [34:81:1]
83904b (4 curves)	1	2+ 3+ 19+ 23+	2+ 3+  2  4  0 -6 -2 19+
Curve Equation t Generators 83904b1 [0,-1,0,-1217,-1292607] 2 [570163:1671012:4913] 83904b2 [0,-1,0,-185537,-30304575] 4 [59830848175:599322232320:109902239] 83904b3 [0,-1,0,-362177,36853953] 2 [2745732012455436848:-24122645888222834365:4671784711741211] 83904b4 [0,-1,0,-2958017,-1957178175] 2 [-34998219891739163096080:570721278254373428833:35250609794984876375]
83904c (1 curve)	1	2+ 3+ 19+ 23+	2+ 3+  2 -4  6 -1 -5 19+
Curve Equation t Generators 83904c1 [0,-1,0,-1985217,-1075952703] 1 [82514117027143:782462037274928:49471280711]
83904d (1 curve)	1	2+ 3+ 19+ 23+	2+ 3+  3  1 -1  0 -5 19+
Curve Equation t Generators 83904d1 [0,-1,0,71,6571] 1 [-10:69:1]
83904e (1 curve)	0	2+ 3+ 19+ 23-	2+ 3+  1  3 -1 -2  1 19+
Curve Equation t 83904e1 [0,-1,0,-105735,13290633] 1
83904f (1 curve)	0	2+ 3+ 19- 23+	2+ 3+ -3  1  1 -2 -3 19-
Curve Equation t 83904f1 [0,-1,0,-1239087,-5564606211] 1
83904g (1 curve)	1	2+ 3- 19+ 23-	2+ 3-  1  1  1  0  5 19+
Curve Equation t Generators 83904g1 [0,1,0,-5645,408141] 1 [4:621:1]
83904h (2 curves)	1	2+ 3- 19+ 23-	2+ 3-  2  2 -2 -2  0 19+
Curve Equation t Generators 83904h1 [0,1,0,703,1091103] 2 [-83:684:1] 83904h2 [0,1,0,-154817,22957215] 2 [178:1035:1]
83904i (1 curve)	1	2+ 3- 19+ 23-	2+ 3- -2  4 -2 -3  5 19+
Curve Equation t Generators 83904i1 [0,1,0,-769,-11425] 1 [43:192:1]
83904j (1 curve)	1	2+ 3- 19+ 23-	2+ 3- -3 -1 -1 -2 -3 19+
Curve Equation t Generators 83904j1 [0,1,0,-1239087,5564606211] 1 [8922:839523:1]
83904k (1 curve)	1	2+ 3- 19- 23+	2+ 3-  1 -1  3  4 -7 19-
Curve Equation t Generators 83904k1 [0,1,0,-1605,24291] 1 [14:69:1]
83904l (1 curve)	1	2+ 3- 19- 23+	2+ 3-  1  3  3 -4 -7 19-
Curve Equation t Generators 83904l1 [0,1,0,-2071445,-1148208909] 1 [1990:51129:1]
83904m (1 curve)	1	2+ 3- 19- 23+	2+ 3-  1 -3  1 -2  1 19-
Curve Equation t Generators 83904m1 [0,1,0,-105735,-13290633] 1 [3738:50301:8]
83904n (1 curve)	1	2+ 3- 19- 23+	2+ 3-  1 -5  3  0 -7 19-
Curve Equation t Generators 83904n1 [0,1,0,1195,5427] 1 [22:207:1]
83904o (1 curve)	1	2+ 3- 19- 23+	2+ 3- -2  0 -6 -7 -1 19-
Curve Equation t Generators 83904o1 [0,1,0,-149569,55334687] 1 [379:7296:1]
83904p (6 curves)	0	2+ 3- 19- 23-	2+ 3-  2  0  4  2 -6 19-
Curve Equation t 83904p1 [0,1,0,-361857,83662047] 2 83904p2 [0,1,0,-362177,83506335] 4 83904p3 [0,1,0,-198017,159709407] 2 83904p4 [0,1,0,-531457,-2657185] 4 83904p5 [0,1,0,2125503,-19130337] 2 83904p6 [0,1,0,-5896897,-5497940833] 2
83904q (2 curves)	0	2+ 3- 19- 23-	2+ 3-  2 -2 -6  6  4 19-
Curve Equation t 83904q1 [0,1,0,-1168577,501424287] 2 83904q2 [0,1,0,-18863297,31527346335] 2
83904r (1 curve)	0	2+ 3- 19- 23-	2+ 3-  3 -1  5  2  3 19-
Curve Equation t 83904r1 [0,1,0,571,2019] 1
83904s (1 curve)	0	2+ 3- 19- 23-	2+ 3-  3  3 -3  4 -1 19-
Curve Equation t 83904s1 [0,1,0,-309,-50157] 1
83904t (6 curves)	0	2- 3+ 19+ 23+	2- 3+  2  0 -4  2 -6 19+
Curve Equation t 83904t1 [0,-1,0,-361857,-83662047] 2 83904t2 [0,-1,0,-362177,-83506335] 4 83904t3 [0,-1,0,-198017,-159709407] 2 83904t4 [0,-1,0,-531457,2657185] 4 83904t5 [0,-1,0,2125503,19130337] 2 83904t6 [0,-1,0,-5896897,5497940833] 2
83904u (2 curves)	0	2- 3+ 19+ 23+	2- 3+  2  2  6  6  4 19+
Curve Equation t 83904u1 [0,-1,0,-1168577,-501424287] 2 83904u2 [0,-1,0,-18863297,-31527346335] 2
83904v (1 curve)	0	2- 3+ 19+ 23+	2- 3+ -2  4 -6 -1  3 19+
Curve Equation t 83904v1 [0,-1,0,-18049,2000353] 1
83904w (1 curve)	0	2- 3+ 19+ 23+	2- 3+  3  1 -5  2  3 19+
Curve Equation t 83904w1 [0,-1,0,571,-2019] 1
83904x (1 curve)	0	2- 3+ 19+ 23+	2- 3+  3 -3  3  4 -1 19+
Curve Equation t 83904x1 [0,-1,0,-309,50157] 1
83904y (1 curve)	1	2- 3+ 19+ 23-	2- 3+  1  1 -3  4 -7 19+
Curve Equation t Generators 83904y1 [0,-1,0,-1605,-24291] 1 [60:303:1]
83904z (1 curve)	1	2- 3+ 19+ 23-	2- 3+  1 -3 -3 -4 -7 19+
Curve Equation t Generators 83904z1 [0,-1,0,-2071445,1148208909] 1 [836:243:1]
83904ba (1 curve)	1	2- 3+ 19+ 23-	2- 3+  1  5 -3  0 -7 19+
Curve Equation t Generators 83904ba1 [0,-1,0,1195,-5427] 1 [68:621:1]
83904bb (4 curves)	1	2- 3+ 19+ 23-	2- 3+  2  4 -4  6  6 19+
Curve Equation t Generators 83904bb1 [0,-1,0,508,-1542] 2 [673810:17487421:1000] 83904bb2 [0,-1,0,-2137,-10535] 4 [2695:139860:1] 83904bb3 [0,-1,0,-19617,1055745] 2 [3778040:2567097:42875] 83904bb4 [0,-1,0,-26977,-1694687] 2 [925029:47937940:343]
83904bc (1 curve)	1	2- 3+ 19+ 23-	2- 3+ -2  0  6 -7 -1 19+
Curve Equation t Generators 83904bc1 [0,-1,0,-149569,-55334687] 1 [4869:338560:1]
83904bd (1 curve)	1	2- 3+ 19+ 23-	2- 3+ -3 -1 -3  4  5 19+
Curve Equation t Generators 83904bd1 [0,-1,0,-787,11929] 1 [40:207:1]
83904be (1 curve)	1	2- 3+ 19+ 23-	2- 3+ -3  3  3 -2 -7 19+
Curve Equation t Generators 83904be1 [0,-1,0,-305947,-65424419] 1 [17335988:1016136711:4913]
83904bf (1 curve)	1	2- 3+ 19- 23+	2- 3+  1  1  5  6 -3 19-
Curve Equation t Generators 83904bf1 [0,-1,0,-115,529] 1 [0:23:1]
83904bg (1 curve)	1	2- 3+ 19- 23+	2- 3+  1 -1 -1  0  5 19-
Curve Equation t Generators 83904bg1 [0,-1,0,-5645,-408141] 1 [1210:11799:8]
83904bh (2 curves)	1	2- 3+ 19- 23+	2- 3+  2 -2  2 -2  0 19-
Curve Equation t Generators 83904bh1 [0,-1,0,703,-1091103] 2 [12251:1355940:1] 83904bh2 [0,-1,0,-154817,-22957215] 2 [-251:160:1]
83904bi (1 curve)	1	2- 3+ 19- 23+	2- 3+ -2  4  2  3  3 19-
Curve Equation t Generators 83904bi1 [0,-1,0,991,-113535] 1 [85:760:1]
83904bj (1 curve)	1	2- 3+ 19- 23+	2- 3+ -2 -4  2 -3  5 19-
Curve Equation t Generators 83904bj1 [0,-1,0,-769,11425] 1 [21:64:1]
83904bk (1 curve)	2	2- 3+ 19- 23-	2- 3+ -3 -3 -1 -4 -3 19-
Curve Equation t Generators 83904bk1 [0,-1,0,-17067,877221] 1 [-68:1311:1]&[84:171:1]
83904bl (1 curve)	1	2- 3- 19+ 23+	2- 3- -3  3  1 -4 -3 19+
Curve Equation t Generators 83904bl1 [0,1,0,-17067,-877221] 1 [2874:153939:1]
83904bm (1 curve)	0	2- 3- 19+ 23-	2- 3-  1 -1 -5  6 -3 19+
Curve Equation t 83904bm1 [0,1,0,-115,-529] 1
83904bn (1 curve)	0	2- 3- 19+ 23-	2- 3- -2 -4 -2  3  3 19+
Curve Equation t 83904bn1 [0,1,0,991,113535] 1
83904bo (4 curves)	0	2- 3- 19- 23+	2- 3-  2 -4  4  6  6 19-
Curve Equation t 83904bo1 [0,1,0,508,1542] 2 83904bo2 [0,1,0,-2137,10535] 4 83904bo3 [0,1,0,-19617,-1055745] 2 83904bo4 [0,1,0,-26977,1694687] 2
83904bp (1 curve)	0	2- 3- 19- 23+	2- 3- -3  1  3  4  5 19-
Curve Equation t 83904bp1 [0,1,0,-787,-11929] 1
83904bq (1 curve)	2	2- 3- 19- 23+	2- 3- -3 -3 -3 -2 -7 19-
Curve Equation t Generators 83904bq1 [0,1,0,-305947,65424419] 1 [-622:3933:1]&[266:1713:1]
83904br (1 curve)	1	2- 3- 19- 23-	2- 3- -1 -1 -3  6 -5 19-
Curve Equation t Generators 83904br1 [0,1,0,-1861,-31687] 1 [56:207:1]
83904bs (1 curve)	1	2- 3- 19- 23-	2- 3-  2  4 -6 -1 -5 19-
Curve Equation t Generators 83904bs1 [0,1,0,-1985217,1075952703] 1 [719:4560:1]
83904bt (4 curves)	1	2- 3- 19- 23-	2- 3-  2 -4  0 -6 -2 19-
Curve Equation t Generators 83904bt1 [0,1,0,-1217,1292607] 2 [37:1140:1] 83904bt2 [0,1,0,-185537,30304575] 4 [-350:7245:1] 83904bt3 [0,1,0,-362177,-36853953] 2 [-10986:177695:27] 83904bt4 [0,1,0,-2958017,1957178175] 2 [975:960:1]
83904bu (1 curve)	1	2- 3- 19- 23-	2- 3- -2 -4  6 -1  3 19-
Curve Equation t Generators 83904bu1 [0,1,0,-18049,-2000353] 1 [203:1656:1]
83904bv (1 curve)	1	2- 3- 19- 23-	2- 3-  3 -1  1  0 -5 19-
Curve Equation t Generators 83904bv1 [0,1,0,71,-6571] 1 [20:57:1]

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