Cremona's table of elliptic curves

66600 = 2³ · 3² · 5² · 37

Class	r	Atkin-Lehner	Eigenvalues
66600a (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  0  0 -3  4 -8
Curve Equation t Generators 66600a1 [0,0,0,-29700,-2173500] 1 [390:6750:1]
66600b (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  1  0  3  4 -3
Curve Equation t Generators 66600b1 [0,0,0,-247500,-50387500] 1 [10294:1043178:1]
66600c (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  2  0 -5 -1 -4
Curve Equation t Generators 66600c1 [0,0,0,-195,990] 1 [6:6:1]
66600d (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+ -1  5 -3 -1  7
Curve Equation t 66600d1 [0,0,0,525,-7250] 1
66600e (2 curves)	0	2+ 3+ 5+ 37-	2+ 3+ 5+ -4  0 -6  2  2
Curve Equation t 66600e1 [0,0,0,-1575,-79750] 2 66600e2 [0,0,0,-39075,-2967250] 2
66600f (1 curve)	0	2+ 3+ 5- 37+	2+ 3+ 5-  2  2  7  6 -4
Curve Equation t 66600f1 [0,0,0,-175500,44212500] 1
66600g (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5- -1  0 -3  4 -3
Curve Equation t Generators 66600g1 [0,0,0,-89100,10883700] 1 [84:1998:1]
66600h (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5- -2  0  5 -1 -4
Curve Equation t Generators 66600h1 [0,0,0,-43875,-3341250] 1 [-126:432:1]
66600i (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5- -2 -2 -7  6 -4
Curve Equation t Generators 66600i1 [0,0,0,-780,-13100] 1 [110:1110:1]
66600j (4 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  0  0  2 -2 -4
Curve Equation t 66600j1 [0,0,0,825,684250] 2 66600j2 [0,0,0,-111675,14071750] 4 66600j3 [0,0,0,-246675,-26563250] 2 66600j4 [0,0,0,-1776675,911506750] 2
66600k (4 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  0  4  2 -6  0
Curve Equation t 66600k1 [0,0,0,-8850,16625] 2 66600k2 [0,0,0,-99975,12136250] 4 66600k3 [0,0,0,-59475,22058750] 2 66600k4 [0,0,0,-1598475,777869750] 2
66600l (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+  1  3  0 -8  0
Curve Equation t 66600l1 [0,0,0,-374700,73176500] 1
66600m (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+  1  3  5  7  5
Curve Equation t 66600m1 [0,0,0,-45075,3748750] 1
66600n (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+  1 -3 -6  1  6
Curve Equation t 66600n1 [0,0,0,-99075,12302750] 1
66600o (2 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+ -2  0  6 -2  6
Curve Equation t 66600o1 [0,0,0,-13575,-607750] 2 66600o2 [0,0,0,-9075,-1017250] 2
66600p (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+  5  3  4 -4 -4
Curve Equation t 66600p1 [0,0,0,-6300,-175500] 1
66600q (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  1  4  1 -8 -1
Curve Equation t Generators 66600q1 [0,0,0,-862500,-308337500] 1 [1094:7578:1]
66600r (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -1 -1  6 -4 -8
Curve Equation t Generators 66600r1 [0,0,0,-2100,-33500] 1 [-30:50:1]
66600s (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  2  0  3  2  2
Curve Equation t Generators 66600s1 [0,0,0,3300,168500] 1 [10:-450:1]
66600t (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  2  3  0 -7 -7
Curve Equation t Generators 66600t1 [0,0,0,178125,-249831250] 1 [128504730274:5774680663468:64481201]
66600u (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  4 -2  4 -2 -1
Curve Equation t Generators 66600u1 [0,0,0,285,3310] 1 [-9:4:1]
66600v (4 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+  4  4 -2  6 -8
Curve Equation t Generators 66600v1 [0,0,0,-125175,-17045750] 2 [14297819685:-2106530826400:658503] 66600v2 [0,0,0,-129675,-15754250] 4 [-1773530:2740500:12167] 66600v3 [0,0,0,203325,-83353250] 2 [158080589548:833323236633:535387328] 66600v4 [0,0,0,-534675,134500750] 2 [-6638:20979:8]
66600w (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  0 -2  0 -6  5
Curve Equation t Generators 66600w1 [0,0,0,-1009875,392498750] 1 [719:6172:1]
66600x (2 curves)	1	2+ 3- 5- 37+	2+ 3- 5-  4 -4 -2 -2 -4
Curve Equation t Generators 66600x1 [0,0,0,-10875,-256250] 2 [-10730:26442:125] 66600x2 [0,0,0,34125,-1831250] 2 [17051190:-199343074:274625]
66600y (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5-  4 -6  1  1  2
Curve Equation t 66600y1 [0,0,0,-5475,69950] 1
66600z (1 curve)	2	2- 3+ 5+ 37+	2- 3+ 5+  0  0 -3 -4 -8
Curve Equation t Generators 66600z1 [0,0,0,-3300,80500] 1 [-60:250:1]&[-4:306:1]
66600ba (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  1  0  3 -4 -3
Curve Equation t 66600ba1 [0,0,0,-2227500,1360462500] 1
66600bb (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  2  0 -5  1 -4
Curve Equation t 66600bb1 [0,0,0,-1755,-26730] 1
66600bc (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -1 -5 -3  1  7
Curve Equation t Generators 66600bc1 [0,0,0,4725,195750] 1 [-30:3375:8]
66600bd (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+ -4  0 -6 -2  2
Curve Equation t Generators 66600bd1 [0,0,0,-14175,2153250] 2 [85:-1250:1] 66600bd2 [0,0,0,-351675,80115750] 2 [-669:3996:1]
66600be (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5-  2 -2  7 -6 -4
Curve Equation t Generators 66600be1 [0,0,0,-19500,-1637500] 1 [184:1002:1]
66600bf (1 curve)	2	2- 3+ 5- 37-	2- 3+ 5- -1  0 -3 -4 -3
Curve Equation t Generators 66600bf1 [0,0,0,-9900,-403100] 1 [120:370:1]&[416:8214:1]
66600bg (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5- -2  0  5  1 -4
Curve Equation t 66600bg1 [0,0,0,-4875,123750] 1
66600bh (1 curve)	2	2- 3+ 5- 37-	2- 3+ 5- -2  2 -7 -6 -4
Curve Equation t Generators 66600bh1 [0,0,0,-7020,353700] 1 [-96:378:1]&[40:-370:1]
66600bi (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  0  0 -2  0  0
Curve Equation t Generators 66600bi1 [0,0,0,-2550,48125] 2 [-50:225:1] 66600bi2 [0,0,0,825,166250] 2 [25:-450:1]
66600bj (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  0  0  6 -4  4
Curve Equation t Generators 66600bj1 [0,0,0,-750,125125] 2 [26:351:1] 66600bj2 [0,0,0,-42375,3330250] 2 [29:1458:1]
66600bk (4 curves)	1	2- 3- 5+ 37+	2- 3- 5+  0  0 -6  2 -8
Curve Equation t Generators 66600bk1 [0,0,0,-4612575,-4023062750] 2 [552179185:47414701350:68921] 66600bk2 [0,0,0,-74925075,-249624625250] 4 [24074880205315035:843658586304673600:2279642092281] 66600bk3 [0,0,0,-76050075,-241741750250] 2 [-188712616340:-4220323063875:36594368] 66600bk4 [0,0,0,-1198800075,-15976007500250] 2 [112751800500025506123566477200590:-71735623661517998866866135966298600:276475048571684988875886219]
66600bl (4 curves)	1	2- 3- 5+ 37+	2- 3- 5+  0 -4 -6 -2  4
Curve Equation t Generators 66600bl1 [0,0,0,-70050,-7133875] 2 [574:11907:1] 66600bl2 [0,0,0,-80175,-4936750] 4 [-95:1350:1] 66600bl3 [0,0,0,257325,-35649250] 2 [2155:102600:1] 66600bl4 [0,0,0,-579675,166391750] 2 [571:4644:1]
66600bm (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  3  3  0  2 -2
Curve Equation t Generators 66600bm1 [0,0,0,-7500,-249500] 1 [-1365:575:27]
66600bn (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -3  3  3 -1  7
Curve Equation t Generators 66600bn1 [0,0,0,-75675,-30118250] 1 [21010:1069875:8]
66600bo (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -3 -3  0  5 -2
Curve Equation t Generators 66600bo1 [0,0,0,-75,499750] 1 [110:1350:1]
66600bp (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -4 -6 -1 -1  2
Curve Equation t Generators 66600bp1 [0,0,0,-136875,8743750] 1 [-3182:4077:8]
66600bq (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  0 -2  0  6  5
Curve Equation t 66600bq1 [0,0,0,-40395,3139990] 1
66600br (2 curves)	0	2- 3- 5+ 37-	2- 3- 5+  0 -2 -6  6  2
Curve Equation t 66600br1 [0,0,0,5325,-229250] 2 66600br2 [0,0,0,-39675,-2434250] 2
66600bs (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -3  1 -3  3 -7
Curve Equation t 66600bs1 [0,0,0,-27666075,56975417750] 1
66600bt (1 curve)	0	2- 3- 5- 37+	2- 3- 5- -1  4 -1  8 -1
Curve Equation t 66600bt1 [0,0,0,-34500,-2466700] 1
66600bu (1 curve)	0	2- 3- 5- 37+	2- 3- 5- -2  3  0  7 -7
Curve Equation t 66600bu1 [0,0,0,7125,-1998650] 1
66600bv (1 curve)	0	2- 3- 5- 37+	2- 3- 5- -4 -2 -4  2 -1
Curve Equation t 66600bv1 [0,0,0,7125,413750] 1
66600bw (2 curves)	1	2- 3- 5- 37-	2- 3- 5- -4 -4  2  2 -4
Curve Equation t Generators 66600bw1 [0,0,0,-435,-2050] 2 [-14:36:1] 66600bw2 [0,0,0,1365,-14650] 2 [26:196:1]

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