Cremona's table of elliptic curves

6600 = 2³ · 3 · 5² · 11

Class	r	Atkin-Lehner	Eigenvalues
6600a (6 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  0 11+  2 -2  4
Curve Equation t Generators 6600a1 [0,-1,0,1617,-20988] 2 [32:250:1] 6600a2 [0,-1,0,-8508,-182988] 4 [-67:286:1] 6600a3 [0,-1,0,-121008,-16157988] 4 [6826:179075:8] 6600a4 [0,-1,0,-58008,5262012] 2 [162:300:1] 6600a5 [0,-1,0,-1936008,-1036187988] 2 [90960334:961340575:54872] 6600a6 [0,-1,0,-106008,-20327988] 2 [165922514:4379316175:195112]
6600b (1 curve)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  2 11+  1 -4 -3
Curve Equation t Generators 6600b1 [0,-1,0,-88,-308] 1 [13:24:1]
6600c (2 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  2 11+  4 -4  0
Curve Equation t Generators 6600c1 [0,-1,0,-3283,73312] 2 [7:225:1] 6600c2 [0,-1,0,-1908,133812] 2 [18:324:1]
6600d (1 curve)	1	2+ 3+ 5+ 11+	2+ 3+ 5+ -3 11+ -4  1  7
Curve Equation t Generators 6600d1 [0,-1,0,-768888,260153532] 1 [506:628:1]
6600e (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -2 11-  0  2  8
Curve Equation t 6600e1 [0,-1,0,-208,412] 2 6600e2 [0,-1,0,792,2412] 2
6600f (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -2 11-  0 -4 -4
Curve Equation t 6600f1 [0,-1,0,-9283,-352688] 2 6600f2 [0,-1,0,-149908,-22290188] 2
6600g (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  4 11-  6  2 -4
Curve Equation t 6600g1 [0,-1,0,-85383,9627012] 4 6600g2 [0,-1,0,-100508,5997012] 4 6600g3 [0,-1,0,-788008,-264877988] 2 6600g4 [0,-1,0,344992,44310012] 2
6600h (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5-  3 11-  0 -3  3
Curve Equation t Generators 6600h1 [0,-1,0,-123208,-17164388] 1 [80086398:38698101604:343]
6600i (6 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  0 11+  2  6 -4
Curve Equation t 6600i1 [0,1,0,-4383,185238] 2 6600i2 [0,1,0,-82508,9091488] 4 6600i3 [0,1,0,-95008,6141488] 4 6600i4 [0,1,0,-1320008,583291488] 2 6600i5 [0,1,0,-700008,-221338512] 2 6600i6 [0,1,0,309992,45021488] 2
6600j (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  2 11+  4  4  8
Curve Equation t 6600j1 [0,1,0,-273283,-55079062] 2 6600j2 [0,1,0,-271908,-55659312] 2
6600k (1 curve)	0	2+ 3- 5+ 11+	2+ 3- 5+  3 11+  5 -6 -1
Curve Equation t 6600k1 [0,1,0,-833,-47037] 1
6600l (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  4 11+ -2 -6  4
Curve Equation t 6600l1 [0,1,0,617,1238] 2 6600l2 [0,1,0,-2508,7488] 4 6600l3 [0,1,0,-25008,-1522512] 2 6600l4 [0,1,0,-30008,1987488] 4
6600m (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -4 11+ -2 -2 -4
Curve Equation t 6600m1 [0,1,0,-6908,218688] 2 6600m2 [0,1,0,-7408,184688] 4 6600m3 [0,1,0,-40408,-2983312] 2 6600m4 [0,1,0,17592,1184688] 2
6600n (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -1 11-  1  2 -5
Curve Equation t Generators 6600n1 [0,1,0,-31713,2163843] 1 [-33:1782:1]
6600o (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -1 11- -4 -3  5
Curve Equation t Generators 6600o1 [0,1,0,-88,-352] 1 [52:372:1]
6600p (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11- -4  0 -4
Curve Equation t Generators 6600p1 [0,1,0,-283,3938] 2 [-7:75:1] 6600p2 [0,1,0,-5908,172688] 2 [32:132:1]
6600q (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -4 11- -2  2  4
Curve Equation t Generators 6600q1 [0,1,0,-1383,-3762] 4 [-7:75:1] 6600q2 [0,1,0,-16508,-820512] 4 [328:5400:1] 6600q3 [0,1,0,-264008,-52300512] 2 [603:2850:1] 6600q4 [0,1,0,-11008,-1370512] 2 [188:1800:1]
6600r (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5-  1 11+  0  1  1
Curve Equation t Generators 6600r1 [0,1,0,792,-546912] 1 [108:900:1]
6600s (1 curve)	0	2- 3+ 5+ 11+	2- 3+ 5+ -1 11+  0 -1  1
Curve Equation t 6600s1 [0,-1,0,32,-4388] 1
6600t (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  2 11+  0 -4  4
Curve Equation t 6600t1 [0,-1,0,-223283,40327812] 2 6600t2 [0,-1,0,-56908,98891812] 2
6600u (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  2 11+  0  6  4
Curve Equation t 6600u1 [0,-1,0,-200408,-34465188] 2 6600u2 [0,-1,0,-199408,-34827188] 2
6600v (4 curves)	2	2- 3+ 5+ 11+	2- 3+ 5+ -4 11+ -6 -6 -8
Curve Equation t Generators 6600v1 [0,-1,0,17,712] 2 [-3:25:1]&[1:27:1] 6600v2 [0,-1,0,-1108,14212] 4 [-28:150:1]&[-27:154:1] 6600v3 [0,-1,0,-2608,-30788] 2 [-34:132:1]&[-18:100:1] 6600v4 [0,-1,0,-17608,905212] 2 [78:16:1]&[81:62:1]
6600w (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  2 11-  0  8 -8
Curve Equation t Generators 6600w1 [0,-1,0,7717,238812] 2 [53:891:1] 6600w2 [0,-1,0,-42908,2263812] 2 [-64:2178:1]
6600x (1 curve)	1	2- 3+ 5- 11+	2- 3+ 5- -3 11+ -5  6 -1
Curve Equation t Generators 6600x1 [0,-1,0,-33,-363] 1 [11:22:1]
6600y (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5-  1 11- -1 -2 -5
Curve Equation t 6600y1 [0,-1,0,-792833,272066037] 1
6600z (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5-  1 11-  4  3  5
Curve Equation t 6600z1 [0,-1,0,-2208,-39588] 1
6600ba (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+  4  0 -4
Curve Equation t Generators 6600ba1 [0,1,0,-283,-562] 2 [-13:33:1] 6600ba2 [0,1,0,1092,-3312] 2 [18:150:1]
6600bb (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11- -2 -6  0
Curve Equation t 6600bb1 [0,1,0,-308,-2112] 2 6600bb2 [0,1,0,-808,5888] 4 6600bb3 [0,1,0,-11808,489888] 2 6600bb4 [0,1,0,2192,41888] 2
6600bc (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11-  6  6  0
Curve Equation t 6600bc1 [0,1,0,-1383,-20262] 2 6600bc2 [0,1,0,-1508,-16512] 4 6600bc3 [0,1,0,-9008,313488] 2 6600bc4 [0,1,0,3992,-104512] 2
6600bd (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -3 11-  0  3  3
Curve Equation t 6600bd1 [0,1,0,-3080208,-2151708912] 1
6600be (1 curve)	0	2- 3- 5- 11+	2- 3- 5- -2 11+ -1  4 -3
Curve Equation t 6600be1 [0,1,0,-2208,-42912] 1
6600bf (1 curve)	0	2- 3- 5- 11+	2- 3- 5-  3 11+  4 -1  7
Curve Equation t 6600bf1 [0,1,0,-19222208,32480747088] 1

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