Cremona's table of elliptic curves

6570 = 2 · 3² · 5 · 73

Class	r	Atkin-Lehner	Eigenvalues
6570a (2 curves)	1	2+ 3+ 5+ 73+	2+ 3+ 5+  0  0 -6  0 -4
Curve Equation t Generators 6570a1 [1,-1,0,15,-35] 2 [3:4:1] 6570a2 [1,-1,0,-105,-299] 2 [-7:11:1]
6570b (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+  2  6 -4  1 -7
Curve Equation t 6570b1 [1,-1,0,3660390,-14382284] 1
6570c (2 curves)	2	2+ 3- 5+ 73+	2+ 3- 5+ -2 -6 -4  0 -4
Curve Equation t Generators 6570c1 [1,-1,0,-360,2700] 2 [-15:75:1]&[-12:78:1] 6570c2 [1,-1,0,-630,-1674] 2 [-17:71:1]&[-5:39:1]
6570d (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+ -3  3 -6  6  2
Curve Equation t 6570d1 [1,-1,0,-3645,48325] 1
6570e (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+ -3  6  6  6  8
Curve Equation t 6570e1 [1,-1,0,-855,-9419] 1
6570f (2 curves)	2	2+ 3- 5+ 73+	2+ 3- 5+ -4  0 -4 -8 -4
Curve Equation t Generators 6570f1 [1,-1,0,-270,-1004] 2 [-13:20:1]&[-12:26:1] 6570f2 [1,-1,0,810,-7700] 2 [11:44:1]&[15:80:1]
6570g (2 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+  5 -3 -4  6 -4
Curve Equation t Generators 6570g1 [1,-1,0,-135,-459] 1 [-5:11:1] 6570g2 [1,-1,0,-3285,73251] 3 [10255:6203:343]
6570h (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+ -5  2 -2  2 -8
Curve Equation t Generators 6570h1 [1,-1,0,-2340,-97200] 1 [63:18:1]
6570i (2 curves)	1	2+ 3- 5- 73+	2+ 3- 5- -2  6 -4 -4  4
Curve Equation t Generators 6570i1 [1,-1,0,-2934,-37260] 2 [-36:162:1] 6570i2 [1,-1,0,-41814,-3279852] 2 [-117:81:1]
6570j (1 curve)	1	2+ 3- 5- 73+	2+ 3- 5-  4  0 -4 -7  1
Curve Equation t Generators 6570j1 [1,-1,0,171,135] 1 [21:102:1]
6570k (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5- -1  1 -2  2 -6
Curve Equation t 6570k1 [1,-1,0,-234,-1292] 1
6570l (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5- -1  4  4 -4 -6
Curve Equation t 6570l1 [1,-1,0,-170334,27752980] 1
6570m (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5- -2 -2  0  3  1
Curve Equation t 6570m1 [1,-1,0,531,-4955] 1
6570n (4 curves)	0	2+ 3- 5- 73-	2+ 3- 5-  4  4 -6  6  4
Curve Equation t 6570n1 [1,-1,0,-77004,-8205440] 2 6570n2 [1,-1,0,-77184,-8165012] 4 6570n3 [1,-1,0,-136314,6108970] 2 6570n4 [1,-1,0,-20934,-19853762] 2
6570o (4 curves)	0	2+ 3- 5- 73-	2+ 3- 5-  4 -4 -2  2  4
Curve Equation t 6570o1 [1,-1,0,-3048219,1574890533] 2 6570o2 [1,-1,0,-45563499,118381370805] 4 6570o3 [1,-1,0,-729000999,7576188058305] 4 6570o4 [1,-1,0,-42370479,135679237353] 2
6570p (2 curves)	1	2- 3+ 5- 73+	2- 3+ 5-  0  0 -6  0 -4
Curve Equation t Generators 6570p1 [1,-1,1,133,811] 2 [-1:26:1] 6570p2 [1,-1,1,-947,9019] 2 [-23:146:1]
6570q (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+  0  0  0 -3  5
Curve Equation t Generators 6570q1 [1,-1,1,-23,87] 1 [5:6:1]
6570r (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+  1  2 -6 -2 -4
Curve Equation t Generators 6570r1 [1,-1,1,67,101] 1 [3:16:1]
6570s (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+ -2  2  0  4 -4
Curve Equation t Generators 6570s1 [1,-1,1,-10013,-358783] 2 [5763:434518:1] 6570s2 [1,-1,1,-31883,1766981] 2 [46110:3475691:8]
6570t (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+  3 -3  0 -6 -4
Curve Equation t Generators 6570t1 [1,-1,1,-17078,-805179] 1 [-87:171:1]
6570u (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+ -1  2 -2 -2  0
Curve Equation t 6570u1 [1,-1,1,1327,12831] 1
6570v (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+ -1  3 -2 -6  6
Curve Equation t 6570v1 [1,-1,1,-38,91] 1
6570w (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+  2  2  4  7 -3
Curve Equation t 6570w1 [1,-1,1,-4838,-128523] 1
6570x (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+  2  6 -2  6  0
Curve Equation t 6570x1 [1,-1,1,-8543,-301769] 2 6570x2 [1,-1,1,-8363,-315233] 2
6570y (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+  2 -6 -4  3  5
Curve Equation t 6570y1 [1,-1,1,-16223,1430831] 1 6570y2 [1,-1,1,-1585598,768885581] 3
6570z (1 curve)	0	2- 3- 5- 73+	2- 3- 5- -2  2  0 -3  5
Curve Equation t 6570z1 [1,-1,1,-10202,554451] 1
6570ba (1 curve)	1	2- 3- 5- 73-	2- 3- 5-  1 -5 -4 -2  0
Curve Equation t Generators 6570ba1 [1,-1,1,-21962,-1247201] 1 [-5452:2819:64]
6570bb (3 curves)	1	2- 3- 5- 73-	2- 3- 5- -1  0 -4  0  2
Curve Equation t Generators 6570bb1 [1,-1,1,-122,-4921] 1 [1302:15869:8] 6570bb2 [1,-1,1,1093,132131] 3 [21:394:1] 6570bb3 [1,-1,1,-166442,26184809] 3 [-33:5641:1]
6570bc (2 curves)	1	2- 3- 5- 73-	2- 3- 5- -2 -2  2 -2  0
Curve Equation t Generators 6570bc1 [1,-1,1,-7787,256699] 2 [-53:746:1] 6570bc2 [1,-1,1,3733,943291] 2 [-29:914:1]
6570bd (2 curves)	1	2- 3- 5- 73-	2- 3- 5- -4  0 -4  3  5
Curve Equation t Generators 6570bd1 [1,-1,1,868,17759] 1 [189:2533:1] 6570bd2 [1,-1,1,-35267,2564291] 3 [-69:2194:1]

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