Cremona's table of elliptic curves

8670 = 2 · 3 · 5 · 17²

Class	r	Atkin-Lehner	Eigenvalues
8670a (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -1 -1  3 17+  4
Curve Equation t Generators 8670a1 [1,1,0,-48,288] 1 [3:12:1]
8670b (2 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  2  0  2 17+  0
Curve Equation t Generators 8670b1 [1,1,0,-588843,-173880387] 2 [894:3453:1] 8670b2 [1,1,0,-785363,-48068283] 2 [2027987:7370069:2197]
8670c (2 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  2 -4  0 17+  4
Curve Equation t Generators 8670c1 [1,1,0,-208808,-37295808] 2 [216198167:9499343655:103823] 8670c2 [1,1,0,-3353128,-2364721472] 2 [8331:736108:1]
8670d (1 curve)	0	2+ 3+ 5+ 17-	2+ 3+ 5+ -1  2  1 17- -1
Curve Equation t 8670d1 [1,1,0,-1227533,-4727641827] 1
8670e (8 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5-  4  0  2 17+ -4
Curve Equation t 8670e1 [1,1,0,428,10624] 2 8670e2 [1,1,0,-5352,134316] 4 8670e3 [1,1,0,-3907,-309299] 2 8670e4 [1,1,0,-19802,-932094] 2 8670e5 [1,1,0,-83382,9232614] 2 8670e6 [1,1,0,-96387,-11536371] 4 8670e7 [1,1,0,-1541387,-737215371] 2 8670e8 [1,1,0,-131067,-2540379] 2
8670f (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5-  3  6 -7 17- -5
Curve Equation t Generators 8670f1 [1,1,0,-38587,2967961] 1 [120:-349:1]
8670g (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5- -3 -3 -1 17-  4
Curve Equation t Generators 8670g1 [1,1,0,-279902,-58107276] 1 [1463:50906:1]
8670h (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3  3 -1 17+  4
Curve Equation t 8670h1 [1,0,1,-80891829,-284914804544] 1
8670i (1 curve)	2	2+ 3- 5+ 17+	2+ 3- 5+ -3 -6 -7 17+ -5
Curve Equation t Generators 8670i1 [1,0,1,-134,596] 1 [-9:37:1]&[174:-811:8]
8670j (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5-  1 -2  1 17+ -1
Curve Equation t Generators 8670j1 [1,0,1,-4248,-962522] 1 [209:-2805:1]
8670k (2 curves)	1	2+ 3- 5- 17+	2+ 3- 5- -2  0  2 17+  0
Curve Equation t Generators 8670k1 [1,0,1,-2038,-35512] 2 [-26:20:1] 8670k2 [1,0,1,-2718,-9944] 2 [-40:207:1]
8670l (2 curves)	1	2+ 3- 5- 17+	2+ 3- 5- -2  4  4 17+ -4
Curve Equation t Generators 8670l1 [1,0,1,-772648,338494838] 2 [-758:22487:1] 8670l2 [1,0,1,-13349928,18771756406] 2 [-3070:177102:1]
8670m (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  1  1  3 17-  4
Curve Equation t 8670m1 [1,0,1,-14023,1512746] 1
8670n (4 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+ -2  0 -4 17+ -4
Curve Equation t 8670n1 [1,1,1,7219,-1849597] 2 8670n2 [1,1,1,-189301,-30384301] 2 8670n3 [1,1,1,-946481,-354926677] 2 8670n4 [1,1,1,-15145051,-22692117001] 2
8670o (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+ -1  5  1 17- -4
Curve Equation t Generators 8670o1 [1,1,1,-15241866,-22910034561] 1 [833231938718969:66338149481821837:97781036543]
8670p (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+ -1 -6  1 17-  7
Curve Equation t Generators 8670p1 [1,1,1,-11566,473963] 1 [1:679:1]
8670q (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  0  4  0 17+ -8
Curve Equation t Generators 8670q1 [1,1,1,71955,16951587] 2 [315:8268:1] 8670q2 [1,1,1,-714125,202152035] 2 [33:13348:1]
8670r (4 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  0 -4  2 17+ -4
Curve Equation t Generators 8670r1 [1,1,1,1150,-1153] 4 [12560:192991:4096] 8670r2 [1,1,1,-4630,-15025] 4 [2245:105229:1] 8670r3 [1,1,1,-53760,-4810113] 2 [2286:13303:8] 8670r4 [1,1,1,-47980,4007855] 2 [17990:840437:8]
8670s (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -3 -1  5 17+ -4
Curve Equation t Generators 8670s1 [1,1,1,45,6225] 1 [43:-322:1]
8670t (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  3 -2  1 17- -5
Curve Equation t 8670t1 [1,1,1,661515,1062713115] 1
8670u (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0 -4  0 17+ -8
Curve Equation t Generators 8670u1 [1,0,0,249,3465] 2 [6:69:1] 8670u2 [1,0,0,-2471,41001] 2 [-14:277:1]
8670v (8 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0 -4 -2 17+  4
Curve Equation t Generators 8670v1 [1,0,0,-23126,1661220] 2 [126:804:1] 8670v2 [1,0,0,-393046,94807076] 4 [-214:13112:1] 8670v3 [1,0,0,-416166,83020500] 4 [-222:12936:1] 8670v4 [1,0,0,-6288646,6069408116] 2 [2098:44902:1] 8670v5 [1,0,0,-2086586,-1086607584] 4 [51240:1116508:27] 8670v6 [1,0,0,884334,498400200] 2 [356:29120:1] 8670v7 [1,0,0,-32792836,-72282118834] 2 [-211916:127633:64] 8670v8 [1,0,0,1892944,-4740612030] 2 [752696178:22147492307:474552]
8670w (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -3  2  1 17+ -5
Curve Equation t Generators 8670w1 [1,0,0,2289,216441] 1 [66:-843:1]
8670x (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  3  1  5 17- -4
Curve Equation t 8670x1 [1,0,0,12999,30493305] 1
8670y (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  1 -5  1 17+ -4
Curve Equation t 8670y1 [1,0,0,-52740,-4666248] 1
8670z (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  1  6  1 17+  7
Curve Equation t 8670z1 [1,0,0,-3342580,2351979152] 1
8670ba (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -2  0  4 17+  4
Curve Equation t 8670ba1 [1,0,0,4040,262460] 2 8670ba2 [1,0,0,-45090,3279042] 2
8670bb (4 curves)	0	2- 3- 5- 17+	2- 3- 5-  4  4 -2 17+ -4
Curve Equation t 8670bb1 [1,0,0,-29195,1674225] 4 8670bb2 [1,0,0,-121675,-14657743] 4 8670bb3 [1,0,0,-1890355,-1000519975] 2 8670bb4 [1,0,0,167325,-73671543] 2

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