Cremona's table of elliptic curves

56610 = 2 · 3² · 5 · 17 · 37

Class	r	Atkin-Lehner	Eigenvalues
56610a (2 curves)	0	2+ 3+ 5- 17- 37-	2+ 3+ 5-  0  2  6 17-  4
Curve Equation t 56610a1 [1,-1,0,1162281,586317725] 2 56610a2 [1,-1,0,-7477719,5841165725] 2
56610b (2 curves)	1	2+ 3- 5+ 17+ 37-	2+ 3- 5+  0 -2 -6 17+ -2
Curve Equation t Generators 56610b1 [1,-1,0,-14550,-671500] 2 [-562:407:8] 56610b2 [1,-1,0,-11670,-947404] 2 [220:-2774:1]
56610c (4 curves)	1	2+ 3- 5+ 17+ 37-	2+ 3- 5+  4  4 -2 17+  0
Curve Equation t Generators 56610c1 [1,-1,0,-28755,-1786779] 2 [-31479:108354:343] 56610c2 [1,-1,0,-80775,6546825] 4 [45:1710:1] 56610c3 [1,-1,0,202275,42041295] 2 [1303:49514:1] 56610c4 [1,-1,0,-1196145,503778771] 2 [-723:31830:1]
56610d (1 curve)	1	2+ 3- 5+ 17+ 37-	2+ 3- 5+ -5 -2  1 17+  0
Curve Equation t Generators 56610d1 [1,-1,0,810,-2700] 1 [15:-120:1]
56610e (2 curves)	1	2+ 3- 5+ 17- 37+	2+ 3- 5+ -2  0 -4 17-  0
Curve Equation t Generators 56610e1 [1,-1,0,-317867985,8505646426845] 2 [23999370:10464745083:125] 56610e2 [1,-1,0,-8496244305,300684683159901] 2 [8554199535:-3473564603004:42875]
56610f (4 curves)	1	2+ 3- 5- 17+ 37+	2+ 3- 5-  0  0 -2 17+ -4
Curve Equation t Generators 56610f1 [1,-1,0,-263574,42491380] 2 [149:2477:1] 56610f2 [1,-1,0,-3996054,3075504628] 4 [689:25130:1] 56610f3 [1,-1,0,-3775734,3429470740] 2 [785:30410:1] 56610f4 [1,-1,0,-63936054,196789596628] 2 [4619:-2044:1]
56610g (4 curves)	1	2+ 3- 5- 17+ 37+	2+ 3- 5-  0  0  6 17+  4
Curve Equation t Generators 56610g1 [1,-1,0,-5319,-147987] 2 [214:2805:1] 56610g2 [1,-1,0,-5499,-137295] 4 [-402:1011:8] 56610g3 [1,-1,0,8271,-723897] 2 [686:5907:8] 56610g4 [1,-1,0,-22149,1131435] 2 [6702:187647:8]
56610h (4 curves)	1	2+ 3- 5- 17+ 37+	2+ 3- 5-  0 -4 -2 17+  0
Curve Equation t Generators 56610h1 [1,-1,0,-4261464,-3384929552] 2 [2652:61604:1] 56610h2 [1,-1,0,-4276044,-3360589700] 4 [-1219:6887:1] 56610h3 [1,-1,0,-529794,-9048146450] 2 [4331:262187:1] 56610h4 [1,-1,0,-8255574,3884542618] 2 [-2533:93674:1]
56610i (1 curve)	0	2+ 3- 5- 17+ 37-	2+ 3- 5-  0  4  6 17+ -2
Curve Equation t 56610i1 [1,-1,0,111,-955] 1
56610j (2 curves)	0	2+ 3- 5- 17+ 37-	2+ 3- 5- -2  4 -2 17+  6
Curve Equation t 56610j1 [1,-1,0,-1944,-15552] 2 56610j2 [1,-1,0,-26424,-1645920] 2
56610k (1 curve)	0	2+ 3- 5- 17- 37+	2+ 3- 5-  1  0 -5 17- -6
Curve Equation t 56610k1 [1,-1,0,-16704,-829440] 1
56610l (2 curves)	0	2+ 3- 5- 17- 37+	2+ 3- 5-  4  4  4 17- -2
Curve Equation t 56610l1 [1,-1,0,95751,9837805] 2 56610l2 [1,-1,0,-516249,90744205] 2
56610m (2 curves)	2	2+ 3- 5- 17- 37+	2+ 3- 5- -4 -4 -4 17- -2
Curve Equation t Generators 56610m1 [1,-1,0,-2529,50953] 2 [44:-175:1]&[27:-56:1] 56610m2 [1,-1,0,-40779,3179803] 2 [-133:2564:1]&[89:455:1]
56610n (2 curves)	1	2+ 3- 5- 17- 37-	2+ 3- 5-  0 -2 -4 17-  4
Curve Equation t Generators 56610n1 [1,-1,0,666,41188] 2 [-16:170:1] 56610n2 [1,-1,0,-14634,650128] 2 [29:485:1]
56610o (2 curves)	1	2+ 3- 5- 17- 37-	2+ 3- 5- -2  0  4 17-  0
Curve Equation t Generators 56610o1 [1,-1,0,70146,3790228] 2 [-43:854:1] 56610o2 [1,-1,0,-321534,32539540] 2 [-589:4457:1]
56610p (2 curves)	1	2- 3+ 5+ 17+ 37-	2- 3+ 5+  0 -2  6 17+  4
Curve Equation t Generators 56610p1 [1,-1,1,129142,-21758519] 2 [253:5075:1] 56610p2 [1,-1,1,-830858,-216062519] 2 [-539:8927:1]
56610q (2 curves)	1	2- 3- 5+ 17+ 37+	2- 3- 5+  0  0  0 17+ -2
Curve Equation t Generators 56610q1 [1,-1,1,112,9267] 2 [-7:93:1] 56610q2 [1,-1,1,-6008,175731] 2 [11:327:1]
56610r (1 curve)	1	2- 3- 5+ 17+ 37+	2- 3- 5+  1  2 -5 17+  4
Curve Equation t Generators 56610r1 [1,-1,1,-3893,-344793] 1 [1616758:3804783:17576]
56610s (2 curves)	1	2- 3- 5+ 17+ 37+	2- 3- 5+  4  0  0 17+ -6
Curve Equation t Generators 56610s1 [1,-1,1,87592,-1493769] 2 [35710:2372991:8] 56610s2 [1,-1,1,-354578,-11752113] 2 [16375427222:1078430826507:3652264]
56610t (1 curve)	1	2- 3- 5+ 17+ 37+	2- 3- 5+  4 -4 -5 17+  1
Curve Equation t Generators 56610t1 [1,-1,1,-10328,411387] 1 [57:-103:1]
56610u (2 curves)	0	2- 3- 5+ 17- 37+	2- 3- 5+  2  4 -2 17-  2
Curve Equation t 56610u1 [1,-1,1,-1762583,901082927] 2 56610u2 [1,-1,1,-1860503,795446831] 2
56610v (2 curves)	0	2- 3- 5+ 17- 37+	2- 3- 5+  4  6  6 17-  6
Curve Equation t 56610v1 [1,-1,1,-135428,12655527] 2 56610v2 [1,-1,1,389452,86558631] 2
56610w (1 curve)	1	2- 3- 5+ 17- 37-	2- 3- 5+ -1 -4 -3 17-  6
Curve Equation t Generators 56610w1 [1,-1,1,832,-16419] 1 [310:2001:8]
56610x (2 curves)	0	2- 3- 5- 17+ 37+	2- 3- 5- -2  4 -2 17+ -2
Curve Equation t 56610x1 [1,-1,1,-9977,-381031] 2 56610x2 [1,-1,1,-9257,-438919] 2
56610y (1 curve)	0	2- 3- 5- 17+ 37+	2- 3- 5-  5  4 -3 17+  6
Curve Equation t 56610y1 [1,-1,1,4117723,3885947101] 1
56610z (2 curves)	1	2- 3- 5- 17+ 37-	2- 3- 5-  4  0  4 17+ -6
Curve Equation t Generators 56610z1 [1,-1,1,-1112,-39589] 2 [81:589:1] 56610z2 [1,-1,1,-25592,-1567141] 2 [-93:91:1]
56610ba (4 curves)	1	2- 3- 5- 17+ 37-	2- 3- 5- -4  0 -4 17+  2
Curve Equation t Generators 56610ba1 [1,-1,1,4524178,3015261821] 2 [-39:53299:1] 56610ba2 [1,-1,1,-23774702,27397576829] 2 [-3903:248371:1] 56610ba3 [1,-1,1,-106629557,428196486989] 6 [5487:88336:1] 56610ba4 [1,-1,1,-1710950837,27240255446861] 6 [23871:-14096:1]
56610bb (4 curves)	1	2- 3- 5- 17- 37+	2- 3- 5-  0 -4  2 17-  4
Curve Equation t Generators 56610bb1 [1,-1,1,-21677,-78699] 2 [161:684:1] 56610bb2 [1,-1,1,-229757,42286389] 4 [-403:8526:1] 56610bb3 [1,-1,1,-116537,83906061] 2 [-369:8934:1] 56610bb4 [1,-1,1,-3672257,2709535389] 2 [1107:-534:1]
56610bc (4 curves)	0	2- 3- 5- 17- 37-	2- 3- 5-  0  4  2 17-  4
Curve Equation t 56610bc1 [1,-1,1,31108,20329791] 4 56610bc2 [1,-1,1,-954572,345209919] 4 56610bc3 [1,-1,1,-2572952,-1133342049] 2 56610bc4 [1,-1,1,-15107072,22604261919] 2
56610bd (2 curves)	0	2- 3- 5- 17- 37-	2- 3- 5- -2 -4 -2 17-  6
Curve Equation t 56610bd1 [1,-1,1,-2912,60959] 2 56610bd2 [1,-1,1,-4442,-8809] 2
56610be (2 curves)	0	2- 3- 5- 17- 37-	2- 3- 5-  4  2 -2 17- -6
Curve Equation t 56610be1 [1,-1,1,-49223642,-132913181671] 2 56610be2 [1,-1,1,-48808922,-135263151079] 2
56610bf (1 curve)	0	2- 3- 5- 17- 37-	2- 3- 5-  4 -4 -2 17-  6
Curve Equation t 56610bf1 [1,-1,1,-1022,-13939] 1
56610bg (2 curves)	0	2- 3- 5- 17- 37-	2- 3- 5-  4  6 -2 17-  6
Curve Equation t 56610bg1 [1,-1,1,-219009272,1235634621819] 2 56610bg2 [1,-1,1,-48948152,3105218550651] 2
56610bh (2 curves)	0	2- 3- 5- 17- 37-	2- 3- 5- -4  0 -1 17- -7
Curve Equation t 56610bh1 [1,-1,1,-194162,-35966869] 1 56610bh2 [1,-1,1,1222753,55553519] 3
56610bi (2 curves)	0	2- 3- 5- 17- 37-	2- 3- 5- -4  2 -2 17-  2
Curve Equation t 56610bi1 [1,-1,1,-482,-2991] 2 56610bi2 [1,-1,1,1138,-19839] 2

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