Cremona's table of elliptic curves

51850 = 2 · 5² · 17 · 61

Class	r	Atkin-Lehner	Eigenvalues
51850a (2 curves)	2	2+ 5+ 17+ 61-	2+  0 5+ -2  0  2 17+ -8
Curve Equation t Generators 51850a1 [1,-1,0,-2167,27741] 2 [-50:121:1]&[-338:1819:8] 51850a2 [1,-1,0,5833,179741] 2 [-26:113:1]&[49:-787:1]
51850b (1 curve)	2	2+ 5+ 17+ 61-	2+  1 5+ -3  0 -3 17+ -4
Curve Equation t Generators 51850b1 [1,0,1,-9761,370708] 1 [-92:747:1]&[43:154:1]
51850c (1 curve)	2	2+ 5+ 17- 61+	2+  0 5+  3 -3 -7 17- -7
Curve Equation t Generators 51850c1 [1,-1,0,-77,101] 1 [-5:21:1]&[10:11:1]
51850d (1 curve)	0	2+ 5+ 17- 61+	2+ -1 5+  5 -5 -5 17-  4
Curve Equation t 51850d1 [1,1,0,-25,-625] 1
51850e (1 curve)	1	2+ 5+ 17- 61-	2+  0 5+  1 -1  5 17- -6
Curve Equation t Generators 51850e1 [1,-1,0,-167,-1759] 1 [20:41:1]
51850f (1 curve)	1	2+ 5+ 17- 61-	2+ -2 5+ -3  3 -3 17-  5
Curve Equation t Generators 51850f1 [1,0,1,-35513451,81455555798] 1 [3471:1336:1]
51850g (1 curve)	1	2+ 5- 17+ 61-	2+  1 5-  3  4  0 17+  4
Curve Equation t Generators 51850g1 [1,0,1,-1,-452] 1 [8:4:1]
51850h (1 curve)	1	2+ 5- 17+ 61-	2+ -1 5- -1  5 -1 17+ -4
Curve Equation t Generators 51850h1 [1,1,0,-12325,522125] 1 [85:270:1]
51850i (2 curves)	1	2+ 5- 17+ 61-	2+ -2 5- -1  3 -1 17+  5
Curve Equation t Generators 51850i1 [1,0,1,-4576,-15702] 3 [77:261:1] 51850i2 [1,0,1,-271451,-54458202] 1 [1663:63152:1]
51850j (1 curve)	1	2+ 5- 17- 61+	2+ -1 5- -3  4 -1 17-  6
Curve Equation t Generators 51850j1 [1,1,0,-216825,-124422875] 1 [1810:72695:1]
51850k (1 curve)	1	2+ 5- 17- 61+	2+  2 5- -3 -3 -5 17-  1
Curve Equation t Generators 51850k1 [1,1,0,-71200,7261500] 1 [210:1170:1]
51850l (2 curves)	0	2+ 5- 17- 61-	2+  1 5- -1  0 -4 17- -4
Curve Equation t 51850l1 [1,0,1,-18076,13086298] 3 51850l2 [1,0,1,162549,-351776202] 1
51850m (1 curve)	0	2- 5+ 17+ 61+	2-  1 5+  3  4  1 17+  6
Curve Equation t 51850m1 [1,0,0,-8673,-995383] 1
51850n (1 curve)	0	2- 5+ 17+ 61+	2- -2 5+  3 -3  5 17+  1
Curve Equation t 51850n1 [1,0,0,-2848,58092] 1
51850o (2 curves)	1	2- 5+ 17+ 61-	2- -1 5+  1  0  4 17+ -4
Curve Equation t Generators 51850o1 [1,1,1,-723,104401] 1 [289:4768:1] 51850o2 [1,1,1,6502,-2811609] 1 [2601:131435:1]
51850p (2 curves)	1	2- 5+ 17+ 61-	2- -1 5+  1 -3  1 17+ -4
Curve Equation t Generators 51850p1 [1,1,1,6187,93531] 1 [-5:252:1] 51850p2 [1,1,1,-68188,-8385219] 1 [345:2877:1]
51850q (2 curves)	1	2- 5+ 17+ 61-	2-  2 5+ -2 -2 -2 17+  0
Curve Equation t Generators 51850q1 [1,1,1,-32913,-2311969] 2 [3301080:-27580927:13824] 51850q2 [1,1,1,-32413,-2384969] 2 [24340:394973:64]
51850r (2 curves)	1	2- 5+ 17+ 61-	2-  2 5+ -4 -2 -6 17+  4
Curve Equation t Generators 51850r1 [1,1,1,-135874313,403592031031] 2 [82965:3276904:27] 51850r2 [1,1,1,388413687,2763936607031] 2 [19989525:17195909224:27]
51850s (1 curve)	1	2- 5+ 17+ 61-	2- -3 5+  1  3 -1 17+  4
Curve Equation t Generators 51850s1 [1,-1,1,-8730,-347103] 1 [1022:5735:8]
51850t (2 curves)	0	2- 5+ 17- 61-	2-  0 5+ -4  0 -4 17-  0
Curve Equation t 51850t1 [1,-1,1,-4255,-104253] 2 51850t2 [1,-1,1,-8505,142247] 2
51850u (1 curve)	0	2- 5+ 17- 61-	2- -1 5+ -3  4  0 17-  4
Curve Equation t 51850u1 [1,1,1,-13,-56469] 1
51850v (2 curves)	0	2- 5+ 17- 61-	2-  2 5+  1  3  1 17-  5
Curve Equation t 51850v1 [1,1,1,-183,-199] 1 51850v2 [1,1,1,-10858,-440009] 1
51850w (1 curve)	1	2- 5- 17+ 61+	2-  0 5- -3 -3  7 17+ -7
Curve Equation t Generators 51850w1 [1,-1,1,-1930,10697] 1 [-31:215:1]
51850x (1 curve)	0	2- 5- 17+ 61-	2-  2 5-  3  3  3 17+  5
Curve Equation t 51850x1 [1,1,1,-1420538,651076231] 1
51850y (1 curve)	1	2- 5- 17- 61-	2-  1 5-  1  5  1 17- -4
Curve Equation t Generators 51850y1 [1,0,0,-493,4177] 1 [12:-11:1]
51850z (1 curve)	1	2- 5- 17- 61-	2- -1 5-  3  0  3 17- -4
Curve Equation t Generators 51850z1 [1,1,1,-244013,46338531] 1 [211:1968:1]

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