Cremona's table of elliptic curves

51100 = 2² · 5² · 7 · 73

Class	r	Atkin-Lehner	Eigenvalues
51100a (1 curve)	0	2- 5+ 7+ 73+	2-  1 5+ 7+  1 -7 -5  0
Curve Equation t 51100a1 [0,1,0,-17289133,27679088863] 1
51100b (1 curve)	0	2- 5+ 7+ 73+	2-  1 5+ 7+  4  2  4  0
Curve Equation t 51100b1 [0,1,0,-133,8488] 1
51100c (2 curves)	0	2- 5+ 7+ 73+	2- -1 5+ 7+  0 -2  0  8
Curve Equation t 51100c1 [0,-1,0,12467,310562] 1 51100c2 [0,-1,0,-133533,-23742938] 1
51100d (2 curves)	0	2- 5+ 7+ 73+	2-  2 5+ 7+  3  4  6 -4
Curve Equation t 51100d1 [0,-1,0,-308,-11368] 1 51100d2 [0,-1,0,-49308,-4197928] 1
51100e (1 curve)	0	2- 5+ 7+ 73+	2- -2 5+ 7+ -1 -4 -4 -6
Curve Equation t 51100e1 [0,1,0,-12241458,-26200503287] 1
51100f (1 curve)	2	2- 5+ 7+ 73+	2- -2 5+ 7+ -1  6  0 -2
Curve Equation t Generators 51100f1 [0,1,0,-28,228] 1 [4:-14:1]&[-1:16:1]
51100g (1 curve)	1	2- 5+ 7+ 73-	2-  1 5+ 7+  1 -3 -1 -2
Curve Equation t Generators 51100g1 [0,1,0,-1533,-50907937] 1 [10731:91250:27]
51100h (1 curve)	1	2- 5+ 7- 73+	2-  0 5+ 7- -3  0  0 -2
Curve Equation t Generators 51100h1 [0,0,0,625,143750] 1 [34:452:1]
51100i (1 curve)	1	2- 5+ 7- 73+	2-  0 5+ 7-  5  4  4 -6
Curve Equation t Generators 51100i1 [0,0,0,-812255,288105270] 1 [1154:29792:1]
51100j (1 curve)	2	2- 5+ 7- 73-	2- -1 5+ 7- -3 -5 -7  4
Curve Equation t Generators 51100j1 [0,-1,0,6467,208937] 1 [-13:350:1]&[8:511:1]
51100k (2 curves)	0	2- 5+ 7- 73-	2-  2 5+ 7-  6  6  6  0
Curve Equation t 51100k1 [0,-1,0,-2633,47762] 2 51100k2 [0,-1,0,3492,231512] 2
51100l (1 curve)	0	2- 5+ 7- 73-	2-  3 5+ 7- -2  6  4  1
Curve Equation t 51100l1 [0,0,0,-3625,84005] 1
51100m (1 curve)	0	2- 5+ 7- 73-	2- -3 5+ 7-  4 -6  4  4
Curve Equation t 51100m1 [0,0,0,800,29125] 1
51100n (1 curve)	1	2- 5- 7+ 73+	2- -1 5- 7+  1 -1  5 -2
Curve Equation t Generators 51100n1 [0,-1,0,-4157333,3301957537] 1 [-2208:41375:1]
51100o (2 curves)	1	2- 5- 7+ 73+	2-  2 5- 7+ -2  2  2  4
Curve Equation t Generators 51100o1 [0,-1,0,-17333,-381838] 2 [-115115931902:-41238982146:5061868813] 51100o2 [0,-1,0,-231708,-42828088] 2 [-15332398703835362431426794:255910243109170332063313:54178555488550307658936]
51100p (1 curve)	1	2- 5- 7+ 73+	2- -3 5- 7+ -2 -6 -4  1
Curve Equation t Generators 51100p1 [0,0,0,-90625,10500625] 1 [225:1225:1]
51100q (1 curve)	2	2- 5- 7+ 73-	2-  0 5- 7+ -3  0  0 -2
Curve Equation t Generators 51100q1 [0,0,0,25,1150] 1 [-9:14:1]&[15:-70:1]
51100r (1 curve)	2	2- 5- 7+ 73-	2-  0 5- 7+  5 -4 -4 -6
Curve Equation t Generators 51100r1 [0,0,0,-20306375,36013158750] 1 [-2425:266450:1]&[3075:51450:1]
51100s (1 curve)	1	2- 5- 7- 73-	2-  1 5- 7-  1  1 -5 -2
Curve Equation t Generators 51100s1 [0,1,0,-166293,26349143] 1 [-191:7154:1]
51100t (1 curve)	1	2- 5- 7- 73-	2-  2 5- 7- -1  4  4 -6
Curve Equation t Generators 51100t1 [0,-1,0,-489658,-209408163] 1 [33249:876365:27]
51100u (1 curve)	1	2- 5- 7- 73-	2-  2 5- 7- -1 -6  0 -2
Curve Equation t Generators 51100u1 [0,-1,0,-708,29912] 1 [17:150:1]
51100v (2 curves)	1	2- 5- 7- 73-	2- -2 5- 7- -2 -2 -2  4
Curve Equation t Generators 51100v1 [0,1,0,-693,-3332] 2 [-21:49:1] 51100v2 [0,1,0,-9268,-346332] 2 [-56:14:1]
51100w (2 curves)	1	2- 5- 7- 73-	2- -2 5- 7-  3 -4 -6 -4
Curve Equation t Generators 51100w1 [0,1,0,-7708,-1436412] 3 [159:1176:1] 51100w2 [0,1,0,-1232708,-527206412] 1 [5159:361176:1]

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