Cremona's table of elliptic curves

33300 = 2² · 3² · 5² · 37

Class	r	Atkin-Lehner	Eigenvalues
33300a (2 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+  0  4  6 -6 -4
Curve Equation t 33300a1 [0,0,0,-900,-11375] 2 33300a2 [0,0,0,-14775,-691250] 2
33300b (2 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+  0 -4  6  6 -4
Curve Equation t 33300b1 [0,0,0,-8100,307125] 2 33300b2 [0,0,0,-132975,18663750] 2
33300c (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -3  2  1 -4 -1
Curve Equation t Generators 33300c1 [0,0,0,1080,14580] 1 [-11:37:1]
33300d (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -3 -2  1  4 -1
Curve Equation t Generators 33300d1 [0,0,0,120,-540] 1 [16:-74:1]
33300e (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5-  3  2 -1  4 -1
Curve Equation t Generators 33300e1 [0,0,0,27000,1822500] 1 [0:1350:1]
33300f (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5-  3 -2 -1 -4 -1
Curve Equation t Generators 33300f1 [0,0,0,3000,-67500] 1 [21:69:1]
33300g (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  1  0  1 -6 -1
Curve Equation t Generators 33300g1 [0,0,0,-38640,-2972860] 1 [244:1458:1] 33300g2 [0,0,0,155760,-13723180] 1 [109:2133:1]
33300h (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  1  3  4  0 -4
Curve Equation t Generators 33300h1 [0,0,0,-40800,1230500] 1 [20:650:1] 33300h2 [0,0,0,-2704800,1712184500] 1 [4655365:487825:4913]
33300i (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -2  0  1  6  2
Curve Equation t Generators 33300i1 [0,0,0,-418800,-199325500] 1 [860:8750:1] 33300i2 [0,0,0,3577200,4010460500] 1 [-77160605:3185546875:103823]
33300j (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -2 -6  4  0 -1
Curve Equation t Generators 33300j1 [0,0,0,-255,-1690] 1 [19:18:1] 33300j2 [0,0,0,1545,830] 1 [2:279:8]
33300k (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  3 -5  0 -6  2
Curve Equation t Generators 33300k1 [0,0,0,-1200,2500] 1 [0:50:1]
33300l (2 curves)	0	2- 3- 5+ 37-	2- 3- 5+  0 -4  2  0  6
Curve Equation t 33300l1 [0,0,0,-3000,62125] 2 33300l2 [0,0,0,-6375,-103250] 2
33300m (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -1  3  6  0  0
Curve Equation t 33300m1 [0,0,0,-10200,-33500] 1
33300n (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  2  0 -6 -6 -3
Curve Equation t 33300n1 [0,0,0,20625,-10606250] 1
33300o (1 curve)	2	2- 3- 5+ 37-	2- 3- 5+ -2 -4 -5 -2  2
Curve Equation t Generators 33300o1 [0,0,0,-76800,8210500] 1 [164:162:1]&[-160:4050:1]
33300p (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  3 -5 -2  4 -4
Curve Equation t 33300p1 [0,0,0,-49375800,-132856105500] 1
33300q (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -3  0  5 -4  7
Curve Equation t 33300q1 [0,0,0,195000,17462500] 1
33300r (2 curves)	0	2- 3- 5+ 37-	2- 3- 5+  4  4  6  6 -2
Curve Equation t 33300r1 [0,0,0,-2100,-10375] 2 33300r2 [0,0,0,8025,-81250] 2
33300s (2 curves)	0	2- 3- 5+ 37-	2- 3- 5+ -4  4 -2  2 -2
Curve Equation t 33300s1 [0,0,0,-1728300,874497625] 2 33300s2 [0,0,0,-1637175,970816750] 2
33300t (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  5 -2  1 -4  7
Curve Equation t 33300t1 [0,0,0,-3360,-75260] 1
33300u (1 curve)	0	2- 3- 5- 37+	2- 3- 5- -2  0  6  6 -3
Curve Equation t 33300u1 [0,0,0,825,-84850] 1
33300v (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  3  0 -5  4  7
Curve Equation t 33300v1 [0,0,0,7800,139700] 1
33300w (1 curve)	2	2- 3- 5- 37+	2- 3- 5- -4 -6 -1  4 -2
Curve Equation t Generators 33300w1 [0,0,0,-120,2500] 1 [-16:18:1]&[20:90:1]
33300x (1 curve)	0	2- 3- 5- 37+	2- 3- 5- -5 -2 -1  4  7
Curve Equation t 33300x1 [0,0,0,-84000,-9407500] 1
33300y (2 curves)	1	2- 3- 5- 37-	2- 3- 5- -1  0 -1  6 -1
Curve Equation t Generators 33300y1 [0,0,0,-966000,-371607500] 1 [111184097391:-593180822107:96702579] 33300y2 [0,0,0,3894000,-1715397500] 3 [6861:589891:1]
33300z (2 curves)	1	2- 3- 5- 37-	2- 3- 5-  2 -6 -4  0 -1
Curve Equation t Generators 33300z1 [0,0,0,-6375,-211250] 1 [476014:5421249:2744] 33300z2 [0,0,0,38625,103750] 3 [1475:57150:1]
33300ba (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  4 -6  1 -4 -2
Curve Equation t Generators 33300ba1 [0,0,0,-3000,312500] 1 [125:1375:1]

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