Cremona's table of elliptic curves

8610 = 2 · 3 · 5 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
8610a (4 curves)	1	2+ 3+ 5+ 7+ 41+	2+ 3+ 5+ 7+ -4 -2  6  0
Curve Equation t Generators 8610a1 [1,1,0,-42108,-3313152] 2 [1028:31752:1] 8610a2 [1,1,0,-75728,2677932] 4 [-251:2565:1] 8610a3 [1,1,0,-972398,368339958] 2 [4123:255752:1] 8610a4 [1,1,0,283022,21117682] 2 [-1:4565:1]
8610b (1 curve)	1	2+ 3+ 5+ 7+ 41+	2+ 3+ 5+ 7+  5  4  0  3
Curve Equation t Generators 8610b1 [1,1,0,957,-10803] 1 [101:1012:1]
8610c (4 curves)	0	2+ 3+ 5+ 7- 41+	2+ 3+ 5+ 7-  4 -2  6  0
Curve Equation t 8610c1 [1,1,0,777,1557] 2 8610c2 [1,1,0,-3143,8613] 4 8610c3 [1,1,0,-31843,-2189807] 2 8610c4 [1,1,0,-37163,2737017] 2
8610d (1 curve)	0	2+ 3+ 5- 7+ 41+	2+ 3+ 5- 7+ -3  4 -4  7
Curve Equation t 8610d1 [1,1,0,-632,-9774] 1
8610e (4 curves)	1	2+ 3+ 5- 7+ 41-	2+ 3+ 5- 7+ -4 -2  2 -4
Curve Equation t Generators 8610e1 [1,1,0,-131712,16859136] 2 [257:129:1] 8610e2 [1,1,0,-459392,-100909056] 4 [-512:896:1] 8610e3 [1,1,0,-7019392,-7160781056] 2 [-1537:896:1] 8610e4 [1,1,0,857728,-571647744] 4 [517:2954:1]
8610f (2 curves)	1	2+ 3- 5+ 7+ 41-	2+ 3- 5+ 7+ -4 -2 -4  4
Curve Equation t Generators 8610f1 [1,0,1,-10854,-118088] 2 [-52:579:1] 8610f2 [1,0,1,41626,-915784] 2 [69:1477:1]
8610g (2 curves)	1	2+ 3- 5+ 7- 41+	2+ 3- 5+ 7- -6  4  0 -6
Curve Equation t Generators 8610g1 [1,0,1,-3364,74786] 2 [28:38:1] 8610g2 [1,0,1,-2964,93346] 2 [-19:387:1]
8610h (2 curves)	1	2+ 3- 5- 7+ 41+	2+ 3- 5- 7+  0  2  0 -4
Curve Equation t Generators 8610h1 [1,0,1,-5202453,-4537859744] 2 [-1270:5247:1] 8610h2 [1,0,1,-1843733,-10316201632] 2 [2739:70630:1]
8610i (2 curves)	0	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+ -6  0 -8 -6
Curve Equation t 8610i1 [1,1,1,-44300241,-113508313041] 2 8610i2 [1,1,1,-44050241,-114852413041] 2
8610j (4 curves)	1	2- 3+ 5+ 7+ 41-	2- 3+ 5+ 7+  0 -2  2  4
Curve Equation t Generators 8610j1 [1,1,1,1004,3029] 4 [-1:45:1] 8610j2 [1,1,1,-4116,19413] 4 [-39:369:1] 8610j3 [1,1,1,-40116,-3090987] 2 [-113:179:1] 8610j4 [1,1,1,-50036,4280789] 2 [153:409:1]
8610k (1 curve)	1	2- 3+ 5+ 7+ 41-	2- 3+ 5+ 7+ -1  0  4 -5
Curve Equation t Generators 8610k1 [1,1,1,-34451,-2475727] 1 [221:764:1]
8610l (1 curve)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7- -3  0  0 -1
Curve Equation t Generators 8610l1 [1,1,1,-6,-981] 1 [39:225:1]
8610m (4 curves)	0	2- 3+ 5- 7+ 41-	2- 3+ 5- 7+ -4  6 -2  4
Curve Equation t 8610m1 [1,1,1,-9020,-326755] 4 8610m2 [1,1,1,-143500,-20982883] 4 8610m3 [1,1,1,-2296000,-1340034883] 2 8610m4 [1,1,1,-142680,-21233475] 2
8610n (2 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7- -4  6  0 -8
Curve Equation t 8610n1 [1,1,1,-1540,22517] 2 8610n2 [1,1,1,-720,47445] 2
8610o (4 curves)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7-  0 -6 -2  0
Curve Equation t Generators 8610o1 [1,1,1,-510,3387] 4 [-23:71:1] 8610o2 [1,1,1,-2510,-46213] 4 [-33:61:1] 8610o3 [1,1,1,-39410,-3027733] 2 [-115:61:1] 8610o4 [1,1,1,2390,-199093] 2 [65:453:1]
8610p (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -3 -4  0 -7
Curve Equation t Generators 8610p1 [1,0,0,132084,58784400] 3 [-222:4416:1] 8610p2 [1,0,0,-1206156,-1721562864] 1 [2786:127232:1]
8610q (1 curve)	0	2- 3- 5- 7+ 41+	2- 3- 5- 7+ -1  4  8  1
Curve Equation t 8610q1 [1,0,0,-1950,-33468] 1
8610r (4 curves)	0	2- 3- 5- 7+ 41+	2- 3- 5- 7+  4 -6 -2 -4
Curve Equation t 8610r1 [1,0,0,-147525,26548785] 2 8610r2 [1,0,0,-2500505,1521632277] 4 8610r3 [1,0,0,-2641135,1340866475] 2 8610r4 [1,0,0,-40007555,97397153487] 2
8610s (4 curves)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+  0 -6 -2  0
Curve Equation t Generators 8610s1 [1,0,0,-32645,2236737] 4 [754:-20537:1] 8610s2 [1,0,0,-64645,-2876863] 4 [-136:1913:1] 8610s3 [1,0,0,-868245,-311298543] 2 [-528:345:1] 8610s4 [1,0,0,226955,-21597583] 2 [512:14873:1]
8610t (4 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7- -4  6  6  4
Curve Equation t 8610t1 [1,0,0,-95,345] 2 8610t2 [1,0,0,-175,-343] 4 8610t3 [1,0,0,-2275,-41923] 2 8610t4 [1,0,0,645,-2475] 4

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