Cremona's table of elliptic curves

27552 = 2⁵ · 3 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
27552a (1 curve)	0	2+ 3+ 7+ 41-	2+ 3+ -3 7+  6 -1  0  4
Curve Equation t 27552a1 [0,-1,0,-2017,-38159] 1
27552b (4 curves)	0	2+ 3+ 7- 41+	2+ 3+ -2 7-  0  6 -2 -4
Curve Equation t 27552b1 [0,-1,0,-434,-1656] 4 27552b2 [0,-1,0,1456,-13752] 2 27552b3 [0,-1,0,-3304,72964] 2 27552b4 [0,-1,0,-5969,-175455] 2
27552c (1 curve)	1	2+ 3+ 7- 41-	2+ 3+  0 7-  5 -4  2 -5
Curve Equation t Generators 27552c1 [0,-1,0,-8,36] 1 [0:6:1]
27552d (1 curve)	1	2+ 3+ 7- 41-	2+ 3+  0 7- -5  4 -3  0
Curve Equation t Generators 27552d1 [0,-1,0,307,-699] 1 [15:84:1]
27552e (1 curve)	1	2+ 3+ 7- 41-	2+ 3+  3 7-  2 -1  2 -2
Curve Equation t Generators 27552e1 [0,-1,0,-14929,-697823] 1 [144:343:1]
27552f (1 curve)	1	2+ 3- 7+ 41-	2+ 3-  0 7+  5  4 -3  0
Curve Equation t Generators 27552f1 [0,1,0,307,699] 1 [13:-84:1]
27552g (1 curve)	1	2+ 3- 7+ 41-	2+ 3- -1 7+  6 -3  2 -2
Curve Equation t Generators 27552g1 [0,1,0,79,63] 1 [1:12:1]
27552h (1 curve)	1	2+ 3- 7- 41+	2+ 3- -4 7-  1  0  3  0
Curve Equation t Generators 27552h1 [0,1,0,-31645,3566699] 1 [-55:2268:1]
27552i (1 curve)	0	2+ 3- 7- 41-	2+ 3-  0 7-  1 -4 -3 -8
Curve Equation t 27552i1 [0,1,0,-413,-3381] 1
27552j (1 curve)	2	2+ 3- 7- 41-	2+ 3- -3 7- -6 -1  0 -4
Curve Equation t Generators 27552j1 [0,1,0,-2017,38159] 1 [-46:189:1]&[-37:252:1]
27552k (2 curves)	2	2- 3+ 7+ 41+	2- 3+  0 7+ -6  2 -6  0
Curve Equation t Generators 27552k1 [0,-1,0,42,504] 2 [-5:12:1]&[-4:16:1] 27552k2 [0,-1,0,-768,7956] 2 [-28:82:1]&[-15:126:1]
27552l (1 curve)	0	2- 3+ 7+ 41+	2- 3+ -4 7+ -1  0  3  0
Curve Equation t 27552l1 [0,-1,0,-31645,-3566699] 1
27552m (1 curve)	1	2- 3+ 7+ 41-	2- 3+  0 7+ -1 -4 -3  8
Curve Equation t Generators 27552m1 [0,-1,0,-413,3381] 1 [7:28:1]
27552n (1 curve)	1	2- 3+ 7+ 41-	2- 3+  1 7+ -2  1  0  4
Curve Equation t Generators 27552n1 [0,-1,0,-5825,173073] 1 [43:16:1]
27552o (1 curve)	1	2- 3+ 7+ 41-	2- 3+  1 7+ -2 -7  0  4
Curve Equation t Generators 27552o1 [0,-1,0,-237925185,-1413116572527] 1 [2137470804718133166840151813988452880028863403125570122490332589:-4330290024106430286534985436477803005715106849019142224625528897216:520787266232883604117471225918966003118901745788247388551]
27552p (1 curve)	1	2- 3+ 7+ 41-	2- 3+  1 7+  4  5 -3  1
Curve Equation t Generators 27552p1 [0,-1,0,-320,2328] 1 [13:14:1]
27552q (4 curves)	1	2- 3+ 7+ 41-	2- 3+ -2 7+  4 -2 -6  4
Curve Equation t Generators 27552q1 [0,-1,0,-574,-5096] 4 [36:140:1] 27552q2 [0,-1,0,-369,-8991] 2 [45:252:1] 27552q3 [0,-1,0,-784,-812] 4 [4605:17206:125] 27552q4 [0,-1,0,-9184,-335720] 2 [2010:29015:8]
27552r (1 curve)	1	2- 3+ 7+ 41-	2- 3+ -4 7+  3 -4  5  4
Curve Equation t Generators 27552r1 [0,-1,0,-538445,-151896699] 1 [1063:21812:1]
27552s (2 curves)	0	2- 3+ 7- 41-	2- 3+  0 7- -2  6  6  0
Curve Equation t 27552s1 [0,-1,0,-34678,-3654872] 2 27552s2 [0,-1,0,-625168,-190013516] 2
27552t (1 curve)	2	2- 3+ 7- 41-	2- 3+ -1 7- -6 -3  2  2
Curve Equation t Generators 27552t1 [0,-1,0,79,-63] 1 [1:4:1]&[7:28:1]
27552u (4 curves)	1	2- 3- 7+ 41+	2- 3- -2 7+  0  6 -2  4
Curve Equation t Generators 27552u1 [0,1,0,-434,1656] 4 [-14:72:1] 27552u2 [0,1,0,1456,13752] 2 [7:156:1] 27552u3 [0,1,0,-3304,-72964] 2 [107:900:1] 27552u4 [0,1,0,-5969,175455] 2 [-53:588:1]
27552v (2 curves)	0	2- 3- 7+ 41-	2- 3-  0 7+  2  6  6  0
Curve Equation t 27552v1 [0,1,0,-34678,3654872] 2 27552v2 [0,1,0,-625168,190013516] 2
27552w (1 curve)	0	2- 3- 7+ 41-	2- 3-  0 7+ -5 -4  2  5
Curve Equation t 27552w1 [0,1,0,-8,-36] 1
27552x (1 curve)	0	2- 3- 7+ 41-	2- 3-  3 7+ -2 -1  2  2
Curve Equation t 27552x1 [0,1,0,-14929,697823] 1
27552y (2 curves)	0	2- 3- 7- 41+	2- 3-  0 7-  6  2 -6  0
Curve Equation t 27552y1 [0,1,0,42,-504] 2 27552y2 [0,1,0,-768,-7956] 2
27552z (1 curve)	1	2- 3- 7- 41-	2- 3-  1 7-  2  1  0 -4
Curve Equation t Generators 27552z1 [0,1,0,-5825,-173073] 1 [67578234:280750863:704969]
27552ba (1 curve)	1	2- 3- 7- 41-	2- 3-  1 7-  2 -7  0 -4
Curve Equation t Generators 27552ba1 [0,1,0,-237925185,1413116572527] 1 [-1878:1361367:1]
27552bb (1 curve)	1	2- 3- 7- 41-	2- 3-  1 7- -4  5 -3 -1
Curve Equation t Generators 27552bb1 [0,1,0,-320,-2328] 1 [22:42:1]
27552bc (4 curves)	1	2- 3- 7- 41-	2- 3- -2 7- -4 -2 -6 -4
Curve Equation t Generators 27552bc1 [0,1,0,-574,5096] 4 [22:60:1] 27552bc2 [0,1,0,-369,8991] 4 [-9:108:1] 27552bc3 [0,1,0,-784,812] 2 [218:165:8] 27552bc4 [0,1,0,-9184,335720] 2 [7055:2334:125]
27552bd (1 curve)	1	2- 3- 7- 41-	2- 3- -4 7- -3 -4  5 -4
Curve Equation t Generators 27552bd1 [0,1,0,-538445,151896699] 1 [85:10332:1]

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