Cremona's table of elliptic curves

47600 = 2⁴ · 5² · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
47600a (1 curve)	1	2+ 5+ 7+ 17+	2+  2 5+ 7+  2 -7 17+  2
Curve Equation t Generators 47600a1 [0,-1,0,-44633,-3616363] 1 [69936806:693584175:238328]
47600b (1 curve)	1	2+ 5+ 7+ 17+	2+  2 5+ 7+  5 -4 17+  8
Curve Equation t Generators 47600b1 [0,-1,0,-8,47] 1 [-22:51:8]
47600c (2 curves)	0	2+ 5+ 7+ 17-	2+  0 5+ 7+  6 -4 17- -2
Curve Equation t 47600c1 [0,0,0,-40675,3419250] 2 47600c2 [0,0,0,-665675,209044250] 2
47600d (1 curve)	2	2+ 5+ 7+ 17-	2+ -1 5+ 7+ -2 -1 17- -1
Curve Equation t Generators 47600d1 [0,-1,0,-163408,90017312] 1 [-518:5950:1]&[196:-8092:1]
47600e (1 curve)	0	2+ 5+ 7+ 17-	2+  2 5+ 7+  1  2 17-  5
Curve Equation t 47600e1 [0,-1,0,9792,-3621088] 1
47600f (1 curve)	0	2+ 5+ 7+ 17-	2+  2 5+ 7+  2 -1 17- -6
Curve Equation t 47600f1 [0,-1,0,-117033,16236437] 1
47600g (1 curve)	1	2+ 5+ 7- 17-	2+  0 5+ 7- -3 -2 17- -8
Curve Equation t Generators 47600g1 [0,0,0,-755,7985] 1 [16:1:1]
47600h (1 curve)	1	2+ 5+ 7- 17-	2+  3 5+ 7- -6  1 17- -5
Curve Equation t Generators 47600h1 [0,0,0,-46675,4459250] 1 [5205:43750:27]
47600i (1 curve)	2	2+ 5- 7+ 17+	2+  0 5- 7+ -3  2 17+ -8
Curve Equation t Generators 47600i1 [0,0,0,-18875,998125] 1 [-84:1411:1]&[76:51:1]
47600j (1 curve)	1	2+ 5- 7+ 17-	2+  0 5- 7+  4  3 17-  0
Curve Equation t Generators 47600j1 [0,0,0,-500,-12500] 1 [40200:336625:512]
47600k (1 curve)	1	2+ 5- 7- 17+	2+  0 5- 7-  4 -3 17+  0
Curve Equation t Generators 47600k1 [0,0,0,-20,-100] 1 [50:35:8]
47600l (1 curve)	1	2+ 5- 7- 17+	2+ -2 5- 7-  1 -2 17+  5
Curve Equation t Generators 47600l1 [0,1,0,392,-28812] 1 [98:980:1]
47600m (1 curve)	0	2+ 5- 7- 17-	2+ -2 5- 7-  5  4 17-  8
Curve Equation t 47600m1 [0,1,0,-208,5463] 1
47600n (4 curves)	0	2- 5+ 7+ 17+	2-  0 5+ 7+  4 -2 17+  8
Curve Equation t 47600n1 [0,0,0,-1763075,-1680234750] 2 47600n2 [0,0,0,-34531075,-78062442750] 4 47600n3 [0,0,0,-40931075,-47105642750] 2 47600n4 [0,0,0,-552419075,-4997480554750] 2
47600o (1 curve)	2	2- 5+ 7+ 17+	2-  0 5+ 7+ -5 -2 17+ -4
Curve Equation t Generators 47600o1 [0,0,0,-5,-14845] 1 [26:51:1]&[154:1907:1]
47600p (1 curve)	0	2- 5+ 7+ 17+	2-  1 5+ 7+  2  3 17+ -1
Curve Equation t 47600p1 [0,1,0,208992,342367988] 1
47600q (1 curve)	0	2- 5+ 7+ 17+	2-  2 5+ 7+ -2  1 17+ -6
Curve Equation t 47600q1 [0,-1,0,-3998533,-3083020563] 1
47600r (1 curve)	2	2- 5+ 7+ 17+	2- -3 5+ 7+ -2  1 17+ -1
Curve Equation t Generators 47600r1 [0,0,0,4925,45250] 1 [65:800:1]&[1:224:1]
47600s (2 curves)	1	2- 5+ 7+ 17-	2-  0 5+ 7+  2  0 17-  2
Curve Equation t Generators 47600s1 [0,0,0,725,-3750] 2 [21:144:1] 47600s2 [0,0,0,-3275,-31750] 2 [-35:200:1]
47600t (1 curve)	1	2- 5+ 7+ 17-	2- -1 5+ 7+  2  5 17-  3
Curve Equation t Generators 47600t1 [0,-1,0,-358008,-82521488] 1 [1372:-44800:1]
47600u (2 curves)	1	2- 5+ 7+ 17-	2-  2 5+ 7+  2  2 17-  0
Curve Equation t Generators 47600u1 [0,-1,0,-7208,236912] 2 [-92:336:1] 47600u2 [0,-1,0,-11208,-51088] 2 [3722:226950:1]
47600v (1 curve)	1	2- 5+ 7+ 17-	2- -2 5+ 7+ -5  6 17- -5
Curve Equation t Generators 47600v1 [0,1,0,-208,1428] 1 [2:32:1]
47600w (4 curves)	1	2- 5+ 7- 17+	2-  0 5+ 7-  0  2 17+ -4
Curve Equation t Generators 47600w1 [0,0,0,-7475,-244750] 2 [-46:42:1] 47600w2 [0,0,0,-15475,371250] 4 [-65:1050:1] 47600w3 [0,0,0,52525,2751250] 2 [-15:1400:1] 47600w4 [0,0,0,-211475,37415250] 2 [495:7350:1]
47600x (2 curves)	1	2- 5+ 7- 17+	2-  0 5+ 7- -2  0 17+  6
Curve Equation t Generators 47600x1 [0,0,0,-58075,24122250] 2 [-99:5376:1] 47600x2 [0,0,0,-1658075,819322250] 2 [-515:39200:1]
47600y (2 curves)	1	2- 5+ 7- 17+	2-  1 5+ 7- -6  7 17+ -5
Curve Equation t Generators 47600y1 [0,1,0,-17008,3099988] 1 [-132:1750:1] 47600y2 [0,1,0,-2227008,1278439988] 1 [868:350:1]
47600z (1 curve)	1	2- 5+ 7- 17+	2-  2 5+ 7-  2  1 17+ -2
Curve Equation t Generators 47600z1 [0,-1,0,-133,-9363] 1 [2148:9675:64]
47600ba (2 curves)	1	2- 5+ 7- 17+	2- -2 5+ 7- -3 -2 17+ -5
Curve Equation t Generators 47600ba1 [0,1,0,-3680208,-2718946412] 1 [4245122874:-715185247616:148877] 47600ba2 [0,1,0,569792,-8510846412] 1 [256394:129826816:1]
47600bb (2 curves)	0	2- 5+ 7- 17-	2-  2 5+ 7-  4  4 17-  6
Curve Equation t 47600bb1 [0,-1,0,12592,101312] 2 47600bb2 [0,-1,0,-51408,869312] 2
47600bc (1 curve)	0	2- 5+ 7- 17-	2-  2 5+ 7- -6 -1 17-  6
Curve Equation t 47600bc1 [0,-1,0,173467,75495437] 1
47600bd (2 curves)	0	2- 5+ 7- 17-	2- -2 5+ 7-  3  4 17-  4
Curve Equation t 47600bd1 [0,1,0,-13958,-667037] 1 47600bd2 [0,1,0,73542,-1454537] 1
47600be (2 curves)	0	2- 5+ 7- 17-	2- -2 5+ 7-  6  2 17-  0
Curve Equation t 47600be1 [0,1,0,-24008,-176012] 2 47600be2 [0,1,0,-280008,-57008012] 2
47600bf (2 curves)	2	2- 5+ 7- 17-	2- -2 5+ 7- -6 -5 17- -2
Curve Equation t Generators 47600bf1 [0,1,0,867,-6137] 1 [7:18:1]&[18:125:1] 47600bf2 [0,1,0,-9133,433863] 1 [43:-350:1]&[-37:850:1]
47600bg (1 curve)	1	2- 5- 7+ 17+	2-  0 5- 7+  0 -7 17+ -4
Curve Equation t Generators 47600bg1 [0,0,0,-358280,-156792900] 1 [485470:29851922:125]
47600bh (2 curves)	1	2- 5- 7+ 17+	2-  0 5- 7+ -6  2 17+ -4
Curve Equation t Generators 47600bh1 [0,0,0,-1000,9375] 2 [-11:138:1] 47600bh2 [0,0,0,-5375,-143750] 2 [-7626:9683:216]
47600bi (1 curve)	1	2- 5- 7+ 17+	2-  1 5- 7+  2 -5 17+ -1
Curve Equation t Generators 47600bi1 [0,1,0,-728,-12652] 1 [158:1960:1]
47600bj (2 curves)	1	2- 5- 7+ 17+	2-  2 5- 7+  3 -4 17+  4
Curve Equation t Generators 47600bj1 [0,-1,0,-558,-5113] 1 [346:1785:8] 47600bj2 [0,-1,0,2942,-12813] 1 [15287178:164767281:551368]
47600bk (1 curve)	0	2- 5- 7+ 17-	2- -1 5- 7+  2 -3 17-  7
Curve Equation t 47600bk1 [0,-1,0,-23688208,366565694912] 1
47600bl (2 curves)	0	2- 5- 7+ 17-	2-  2 5- 7+ -3  2 17- -5
Curve Equation t 47600bl1 [0,-1,0,-147208,-21692688] 1 47600bl2 [0,-1,0,22792,-68095888] 1
47600bm (1 curve)	0	2- 5- 7- 17+	2-  1 5- 7-  2  3 17+  7
Curve Equation t 47600bm1 [0,1,0,-947528,2932146548] 1
47600bn (1 curve)	0	2- 5- 7- 17+	2-  2 5- 7- -5 -6 17+ -5
Curve Equation t 47600bn1 [0,-1,0,-5208,188912] 1
47600bo (1 curve)	1	2- 5- 7- 17-	2-  0 5- 7-  0  7 17- -4
Curve Equation t Generators 47600bo1 [0,0,0,-8957000,-19599112500] 1 [4154:121958:1]
47600bp (1 curve)	1	2- 5- 7- 17-	2-  0 5- 7- -5  2 17- -4
Curve Equation t Generators 47600bp1 [0,0,0,-125,-1855625] 1 [150:1225:1]
47600bq (2 curves)	1	2- 5- 7- 17-	2-  0 5- 7- -6 -2 17- -4
Curve Equation t Generators 47600bq1 [0,0,0,-40,75] 2 [1:6:1] 47600bq2 [0,0,0,-215,-1150] 2 [-62:57:8]
47600br (1 curve)	1	2- 5- 7- 17-	2- -1 5- 7-  2  5 17- -1
Curve Equation t Generators 47600br1 [0,-1,0,-18208,-1545088] 1 [442:8750:1]

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