Cremona's table of elliptic curves

75225 = 3 · 5² · 17 · 59

Class	r	Atkin-Lehner	Eigenvalues
75225a (1 curve)	1	3+ 5+ 17+ 59+	0 3+ 5+ -2 -5 -1 17+ -1
Curve Equation t Generators 75225a1 [0,-1,1,-33,-68407] 1 [43:88:1]
75225b (1 curve)	1	3+ 5+ 17+ 59+	0 3+ 5+  5 -4  1 17+ -5
Curve Equation t Generators 75225b1 [0,-1,1,-1563,24608] 1 [26:29:1]
75225c (4 curves)	1	3+ 5+ 17+ 59+	-1 3+ 5+  0 -4  6 17+  4
Curve Equation t Generators 75225c1 [1,1,1,1937,-9844] 2 [126:1438:1] 75225c2 [1,1,1,-8188,-90844] 4 [-26:337:1] 75225c3 [1,1,1,-74563,7741406] 2 [200:-1038:1] 75225c4 [1,1,1,-103813,-12904594] 2 [565:10167:1]
75225d (1 curve)	2	3+ 5+ 17- 59+	-1 3+ 5+ -4  0 -2 17- -5
Curve Equation t Generators 75225d1 [1,1,1,-68,416] 1 [-82:139:8]&[-6:28:1]
75225e (1 curve)	1	3+ 5+ 17- 59-	2 3+ 5+ -1  6 -1 17- -8
Curve Equation t Generators 75225e1 [0,-1,1,-158,-157] 1 [-572:1343:64]
75225f (1 curve)	2	3+ 5- 17+ 59+	-1 3+ 5-  0  0 -2 17+  2
Curve Equation t Generators 75225f1 [1,1,1,-196888,33544106] 1 [256:-122:1]&[264:97:1]
75225g (1 curve)	2	3+ 5- 17+ 59+	-1 3+ 5-  0  0 -2 17+ -5
Curve Equation t Generators 75225g1 [1,1,1,-42263,-19058344] 1 [516:-10100:1]&[485:8407:1]
75225h (2 curves)	0	3+ 5- 17+ 59+	2 3+ 5-  2 -3 -4 17+  0
Curve Equation t 75225h1 [0,-1,1,-15758,-853807] 1 75225h2 [0,-1,1,-18708,66892943] 1
75225i (1 curve)	1	3+ 5- 17+ 59-	2 3+ 5- -1 -4 -3 17+ -4
Curve Equation t Generators 75225i1 [0,-1,1,-27208,352443] 1 [-2974944:47083491:32768]
75225j (1 curve)	1	3+ 5- 17- 59+	0 3+ 5- -4 -1  4 17-  5
Curve Equation t Generators 75225j1 [0,-1,1,5167,-91057] 1 [17:37:1]
75225k (1 curve)	2	3+ 5- 17- 59-	1 3+ 5- -2 -4 -4 17-  5
Curve Equation t Generators 75225k1 [1,1,0,210300,26362575] 1 [174:8175:1]&[2038:77589:8]
75225l (1 curve)	0	3- 5+ 17+ 59+	0 3- 5+  4 -1 -4 17+  5
Curve Equation t 75225l1 [0,1,1,207,-646] 1
75225m (4 curves)	1	3- 5+ 17+ 59-	-1 3- 5+  0  0  2 17+  4
Curve Equation t Generators 75225m1 [1,0,0,-19313,-829008] 2 [-59:355:1] 75225m2 [1,0,0,-97438,10967867] 4 [-103:4514:1] 75225m3 [1,0,0,86937,47658492] 2 [-183:5154:1] 75225m4 [1,0,0,-1531813,729589742] 2 [347:15314:1]
75225n (1 curve)	1	3- 5+ 17+ 59-	-1 3- 5+  2 -4  4 17+  5
Curve Equation t Generators 75225n1 [1,0,0,5257487,3284806892] 1 [-2906:292891:8]
75225o (1 curve)	1	3- 5+ 17+ 59-	2 3- 5+  2 -1  4 17+ -1
Curve Equation t Generators 75225o1 [0,1,1,-2258,58769] 1 [74:1571:8]
75225p (1 curve)	1	3- 5+ 17- 59+	1 3- 5+  0  0  2 17-  2
Curve Equation t Generators 75225p1 [1,0,1,-4922201,4202857673] 1 [190685467:-95357991:148877]
75225q (1 curve)	1	3- 5+ 17- 59+	1 3- 5+  0  0  2 17- -5
Curve Equation t Generators 75225q1 [1,0,1,-1691,-152467] 1 [534:1187:8]
75225r (2 curves)	1	3- 5+ 17- 59+	1 3- 5+  0 -6  2 17- -4
Curve Equation t Generators 75225r1 [1,0,1,-1501,-4477] 2 [-2316:4489:64] 75225r2 [1,0,1,5874,-33977] 2 [107:1296:1]
75225s (2 curves)	1	3- 5+ 17- 59+	-2 3- 5+ -2 -3  4 17-  0
Curve Equation t Generators 75225s1 [0,1,1,-748,534844] 5 [74:943:1] 75225s2 [0,1,1,-393958,-107513756] 1 [379963971640:-25111561126921:85184000]
75225t (1 curve)	1	3- 5+ 17- 59+	-2 3- 5+  3  0 -1 17-  4
Curve Equation t Generators 75225t1 [0,1,1,-19908,-1086406] 1 [-82:37:1]
75225u (1 curve)	0	3- 5+ 17- 59-	2 3- 5+ -3  2  3 17-  8
Curve Equation t 75225u1 [0,1,1,-535008,150443519] 1
75225v (1 curve)	1	3- 5- 17+ 59+	1 3- 5-  4  0  2 17+ -5
Curve Equation t Generators 75225v1 [1,0,1,-1701,55423] 1 [2774:49951:8]
75225w (1 curve)	2	3- 5- 17- 59+	0 3- 5- -5 -4 -1 17- -5
Curve Equation t Generators 75225w1 [0,1,1,-39083,2997869] 1 [-221:943:1]&[-167:2212:1]
75225x (1 curve)	1	3- 5- 17- 59-	-2 3- 5-  1 -4  3 17- -4
Curve Equation t Generators 75225x1 [0,1,1,-1088,2384] 1 [-17:127:1]

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