Cremona's table of elliptic curves

3330 = 2 · 3² · 5 · 37

Class	r	Atkin-Lehner	Eigenvalues
3330a (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+ -3 -1 -1  7 -1
Curve Equation t Generators 3330a1 [1,-1,0,930,-4204] 1 [43:316:1]
3330b (2 curves)	0	2+ 3+ 5- 37+	2+ 3+ 5-  4  0  6 -6  6
Curve Equation t 3330b1 [1,-1,0,-230379,42631685] 2 3330b2 [1,-1,0,-3686379,2725178885] 2
3330c (2 curves)	1	2+ 3+ 5- 37-	2+ 3+ 5-  0 -2 -2  2 -8
Curve Equation t Generators 3330c1 [1,-1,0,-339,-2827] 2 [49:286:1] 3330c2 [1,-1,0,-5739,-165907] 2 [89:105:1]
3330d (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5- -3  1  1 -1  1
Curve Equation t Generators 3330d1 [1,-1,0,-560994,164964500] 1 [481:2257:1]
3330e (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+ -3  5 -2 -3 -6
Curve Equation t 3330e1 [1,-1,0,-1170,-15404] 1
3330f (6 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+  0 -4 -2 -2  4
Curve Equation t Generators 3330f1 [1,-1,0,-7605,-876875] 2 [125:275:1] 3330f2 [1,-1,0,-191925,-32248139] 4 [12413:1375856:1] 3330f3 [1,-1,0,-3069045,-2068673675] 2 [4274235:469986320:343] 3330f4 [1,-1,0,-263925,-5795339] 4 [-169:5912:1] 3330f5 [1,-1,0,-2728125,1727522941] 2 [1311:19417:1] 3330f6 [1,-1,0,1048275,-46998419] 2 [89445:4042427:125]
3330g (4 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+  2  0  2 -6  2
Curve Equation t Generators 3330g1 [1,-1,0,-675,3861] 2 [-3:78:1] 3330g2 [1,-1,0,2205,26325] 2 [-2:149:1] 3330g3 [1,-1,0,-47475,3993381] 6 [47950:69287:343] 3330g4 [1,-1,0,-47295,4025025] 6 [300:3945:1]
3330h (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  3 -1  1  1 -5
Curve Equation t Generators 3330h1 [1,-1,0,-7785,266341] 1 [53:-4:1]
3330i (2 curves)	1	2+ 3- 5- 37+	2+ 3- 5-  0  2 -2 -6  6
Curve Equation t Generators 3330i1 [1,-1,0,-10314,639220] 2 [-49:1037:1] 3330i2 [1,-1,0,-190314,31995220] 2 [221:722:1]
3330j (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5- -5  5 -1  5 -3
Curve Equation t Generators 3330j1 [1,-1,0,-2529,-63747] 1 [87:564:1]
3330k (2 curves)	0	2+ 3- 5- 37-	2+ 3- 5- -1 -3  2 -3  2
Curve Equation t 3330k1 [1,-1,0,-750564,334125648] 1 3330k2 [1,-1,0,-66276324,207692300880] 3
3330l (2 curves)	0	2+ 3- 5- 37-	2+ 3- 5-  4  2  2  2  2
Curve Equation t 3330l1 [1,-1,0,-9,-135] 2 3330l2 [1,-1,0,-459,-3645] 2
3330m (2 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+  4  0  6  6  6
Curve Equation t 3330m1 [1,-1,1,-25598,-1570419] 2 3330m2 [1,-1,1,-409598,-100796019] 2
3330n (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+  0  2 -2 -2 -8
Curve Equation t Generators 3330n1 [1,-1,1,-38,117] 2 [3:3:1] 3330n2 [1,-1,1,-638,6357] 2 [-13:117:1]
3330o (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -3 -1  1  1  1
Curve Equation t Generators 3330o1 [1,-1,1,-62333,-6089019] 1 [395:5352:1]
3330p (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5- -3  1 -1 -7 -1
Curve Equation t Generators 3330p1 [1,-1,1,103,121] 1 [1:14:1]
3330q (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  1 -3  0 -3 -6
Curve Equation t Generators 3330q1 [1,-1,1,112,627] 1 [5:33:1]
3330r (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  3  5 -2  7 -2
Curve Equation t 3330r1 [1,-1,1,1822,15081] 1
3330s (4 curves)	0	2- 3- 5+ 37-	2- 3- 5+ -4 -6  2  6  2
Curve Equation t 3330s1 [1,-1,1,-2813,-69883] 2 3330s2 [1,-1,1,-47813,-4011883] 2 3330s3 [1,-1,1,20812,582167] 6 3330s4 [1,-1,1,-94388,5005847] 6
3330t (4 curves)	0	2- 3- 5- 37+	2- 3- 5-  0  4  2  2 -4
Curve Equation t 3330t1 [1,-1,1,-47,-89] 2 3330t2 [1,-1,1,-227,1279] 4 3330t3 [1,-1,1,-3557,82531] 2 3330t4 [1,-1,1,223,5419] 2
3330u (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  1  1  2  7 -2
Curve Equation t 3330u1 [1,-1,1,13,69] 1
3330v (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  1  5  2 -1  6
Curve Equation t 3330v1 [1,-1,1,-1652,-1641769] 1
3330w (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  3  3 -5 -5  1
Curve Equation t 3330w1 [1,-1,1,-32,-111] 1
3330x (4 curves)	0	2- 3- 5- 37+	2- 3- 5-  4 -4  2  2  0
Curve Equation t 3330x1 [1,-1,1,-1756247,-895392529] 2 3330x2 [1,-1,1,-1759127,-892306321] 4 3330x3 [1,-1,1,-2884127,388843679] 2 3330x4 [1,-1,1,-680207,-1975973569] 2
3330y (4 curves)	0	2- 3- 5- 37+	2- 3- 5- -4 -4  2  2  8
Curve Equation t 3330y1 [1,-1,1,-12810497,16599007761] 2 3330y2 [1,-1,1,-201554177,1101422182929] 4 3330y3 [1,-1,1,-3224862977,70488777789969] 2 3330y4 [1,-1,1,-198144257,1140484862481] 2
3330z (3 curves)	1	2- 3- 5- 37-	2- 3- 5- -1 -3 -4 -3  2
Curve Equation t Generators 3330z1 [1,-1,1,-482,-3949] 1 [702:5963:8] 3330z2 [1,-1,1,-167,-9241] 3 [57:376:1] 3330z3 [1,-1,1,1498,248501] 3 [-39:379:1]
3330ba (2 curves)	1	2- 3- 5- 37-	2- 3- 5- -1 -3 -7  3 -1
Curve Equation t Generators 3330ba1 [1,-1,1,1138,40061] 1 [291:4849:1] 3330ba2 [1,-1,1,-63797,6225869] 3 [-33:2896:1]

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