Cremona's table of elliptic curves

122200 = 2³ · 5² · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
122200a (1 curve)	1	2+ 5+ 13+ 47+	2+  0 5+  4 -6 13+  6 -8
Curve Equation t Generators 122200a1 [0,0,0,9805,-458130] 1 [2008908027002:143504388754472:393832837]
122200b (1 curve)	1	2+ 5+ 13+ 47+	2+ -1 5+  2  3 13+ -3 -4
Curve Equation t Generators 122200b1 [0,-1,0,95367,250944637] 1 [-68:15625:1]
122200c (1 curve)	1	2+ 5+ 13+ 47+	2+ -1 5+  2  5 13+  3  1
Curve Equation t Generators 122200c1 [0,-1,0,-75208,8986412] 1 [193:1274:1]
122200d (1 curve)	1	2+ 5+ 13+ 47+	2+  2 5+ -1 -4 13+ -6  1
Curve Equation t Generators 122200d1 [0,-1,0,-508,-33363] 1 [666:5625:8]
122200e (1 curve)	1	2+ 5+ 13+ 47+	2+ -2 5+ -2 -4 13+ -2 -2
Curve Equation t Generators 122200e1 [0,1,0,-8,-272] 1 [7:8:1]
122200f (1 curve)	0	2+ 5+ 13+ 47-	2+  1 5+ -1 -2 13+  5  0
Curve Equation t 122200f1 [0,1,0,7292,656713] 1
122200g (1 curve)	2	2+ 5+ 13- 47+	2+  1 5+ -4  3 13-  3 -4
Curve Equation t Generators 122200g1 [0,1,0,-2033,36563] 1 [-37:250:1]&[23:-50:1]
122200h (1 curve)	0	2+ 5+ 13- 47+	2+ -2 5+ -2  0 13-  7  4
Curve Equation t 122200h1 [0,1,0,4792,111088] 1
122200i (1 curve)	1	2+ 5+ 13- 47-	2+ -1 5+ -2  1 13- -3  4
Curve Equation t Generators 122200i1 [0,-1,0,-75433,8000237] 1 [257:-2350:1]
122200j (1 curve)	0	2+ 5- 13+ 47+	2+  0 5- -1  4 13+ -4  7
Curve Equation t 122200j1 [0,0,0,-95,-2525] 1
122200k (2 curves)	0	2+ 5- 13+ 47+	2+  2 5- -4  2 13+  0 -2
Curve Equation t 122200k1 [0,-1,0,-618743,187619132] 2 122200k2 [0,-1,0,-9901068,11994736532] 2
122200l (2 curves)	0	2+ 5- 13+ 47+	2+ -2 5-  4  6 13+  0  2
Curve Equation t 122200l1 [0,1,0,57,118] 2 122200l2 [0,1,0,-268,768] 2
122200m (1 curve)	2	2+ 5- 13+ 47+	2+ -2 5- -5  0 13+ -2 -7
Curve Equation t Generators 122200m1 [0,1,0,12,-47] 1 [3:5:1]&[4:9:1]
122200n (1 curve)	0	2+ 5- 13+ 47+	2+  3 5-  3 -4 13+  3 -2
Curve Equation t 122200n1 [0,0,0,-64375,6306875] 1
122200o (2 curves)	1	2+ 5- 13+ 47-	2+  2 5-  4 -2 13+  8 -6
Curve Equation t Generators 122200o1 [0,-1,0,-83708,9043412] 2 [2657333:167007666:68921] 122200o2 [0,-1,0,33792,32308412] 2 [1328020609540929:-38705235226774858:4997579771673]
122200p (1 curve)	0	2+ 5- 13- 47-	2+  0 5- -4 -4 13-  1  2
Curve Equation t 122200p1 [0,0,0,-3875,98750] 1
122200q (1 curve)	0	2+ 5- 13- 47-	2+ -1 5-  3  6 13-  7  4
Curve Equation t 122200q1 [0,-1,0,-9308,-342563] 1
122200r (1 curve)	0	2- 5+ 13+ 47+	2-  0 5+  4 -4 13+ -1  2
Curve Equation t 122200r1 [0,0,0,-155,790] 1
122200s (1 curve)	0	2- 5+ 13+ 47+	2-  1 5+ -3  6 13+ -7  4
Curve Equation t 122200s1 [0,1,0,-232708,-43285787] 1
122200t (2 curves)	0	2- 5+ 13+ 47+	2-  2 5+  0  0 13+ -6  4
Curve Equation t 122200t1 [0,-1,0,-10408,-181188] 2 122200t2 [0,-1,0,36592,-1403188] 2
122200u (1 curve)	2	2- 5+ 13+ 47+	2- -2 5+ -1 -4 13+ -2 -3
Curve Equation t Generators 122200u1 [0,1,0,-566008,163712613] 1 [-762:12375:1]&[418:575:1]
122200v (1 curve)	1	2- 5+ 13+ 47-	2-  1 5+  4 -5 13+ -1  4
Curve Equation t Generators 122200v1 [0,1,0,967,-2437] 1 [113:1250:1]
122200w (4 curves)	1	2- 5+ 13- 47+	2-  0 5+  0  0 13- -2  0
Curve Equation t Generators 122200w1 [0,0,0,550,62125] 4 [1486:57291:1] 122200w2 [0,0,0,-20575,1097250] 4 [-155:750:1] 122200w3 [0,0,0,-53075,-3225250] 2 [-181:672:1] 122200w4 [0,0,0,-326075,71667750] 2 [5955:457500:1]
122200x (1 curve)	0	2- 5+ 13- 47-	2- -2 5+  2  0 13- -3  8
Curve Equation t 122200x1 [0,1,0,-1008,35488] 1
122200y (1 curve)	2	2- 5+ 13- 47-	2- -3 5+ -3 -4 13- -3 -2
Curve Equation t Generators 122200y1 [0,0,0,-2575,50455] 1 [81:-611:1]&[-31:317:1]
122200z (1 curve)	0	2- 5- 13+ 47-	2-  2 5-  2  0 13+ -7  4
Curve Equation t 122200z1 [0,-1,0,192,812] 1
122200ba (1 curve)	2	2- 5- 13- 47+	2- -1 5-  1 -2 13- -5  0
Curve Equation t Generators 122200ba1 [0,-1,0,292,5137] 1 [-3:65:1]&[8:89:1]
122200bb (2 curves)	2	2- 5- 13- 47+	2- -2 5- -4 -2 13- -8 -6
Curve Equation t Generators 122200bb1 [0,1,0,-3348,71008] 2 [-66:94:1]&[18:-130:1] 122200bb2 [0,1,0,1352,259008] 2 [-56:104:1]&[8:520:1]
122200bc (1 curve)	1	2- 5- 13- 47-	2-  0 5-  1  4 13-  4  7
Curve Equation t Generators 122200bc1 [0,0,0,-2375,-315625] 1 [121:1081:1]
122200bd (1 curve)	1	2- 5- 13- 47-	2-  0 5- -4 -6 13- -6 -8
Curve Equation t Generators 122200bd1 [0,0,0,245125,-57266250] 1 [350:8450:1]
122200be (1 curve)	1	2- 5- 13- 47-	2-  1 5- -2  5 13- -3  1
Curve Equation t Generators 122200be1 [0,1,0,-3008,70688] 1 [47:188:1]
122200bf (1 curve)	1	2- 5- 13- 47-	2-  2 5-  2 -4 13-  2 -2
Curve Equation t Generators 122200bf1 [0,-1,0,-208,-33588] 1 [13895168275436895:1797591950550402:399582722486375]
122200bg (2 curves)	1	2- 5- 13- 47-	2-  2 5- -4  6 13-  0  2
Curve Equation t Generators 122200bg1 [0,-1,0,1417,11912] 2 [1737:90161:729] 122200bg2 [0,-1,0,-6708,109412] 2 [-64:522:1]
122200bh (1 curve)	1	2- 5- 13- 47-	2-  2 5-  5  0 13-  2 -7
Curve Equation t Generators 122200bh1 [0,-1,0,292,-6463] 1 [13531:87375:343]
122200bi (2 curves)	1	2- 5- 13- 47-	2- -2 5-  4  2 13-  0 -2
Curve Equation t Generators 122200bi1 [0,1,0,-15468583,23421454338] 2 [3739:133679:1] 122200bi2 [0,1,0,-247526708,1498847013088] 2 [9082:182:1]

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