Cremona's table of elliptic curves

16275 = 3 · 5² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
16275a (4 curves)	1	3+ 5+ 7+ 31+	1 3+ 5+ 7+  0  6 -6 -4
Curve Equation t Generators 16275a1 [1,1,0,900,-10125] 2 [90:855:1] 16275a2 [1,1,0,-5225,-102000] 4 [640:15780:1] 16275a3 [1,1,0,-76100,-8110875] 2 [42580:962535:64] 16275a4 [1,1,0,-32350,2149375] 2 [5182:124783:8]
16275b (6 curves)	1	3+ 5+ 7+ 31+	1 3+ 5+ 7+  4 -6 -2  4
Curve Equation t Generators 16275b1 [1,1,0,-16375,1444000] 2 [-80:1540:1] 16275b2 [1,1,0,-316500,68371875] 4 [2302:7715:8] 16275b3 [1,1,0,-371625,42849000] 4 [-3039240:76894920:6859] 16275b4 [1,1,0,-5063375,4383281250] 2 [1450:8900:1] 16275b5 [1,1,0,-2894250,-1866778125] 2 [5123433330557300:-279167751753169275:1347035973184] 16275b6 [1,1,0,1269000,320114625] 2 [81568992340:-13105888785745:584277056]
16275c (2 curves)	1	3+ 5+ 7+ 31+	-1 3+ 5+ 7+  6  0  4  4
Curve Equation t Generators 16275c1 [1,1,1,103187,-4737094] 2 [65:1467:1] 16275c2 [1,1,1,-443688,-39737094] 2 [44270:3247111:8]
16275d (1 curve)	1	3+ 5+ 7+ 31+	-2 3+ 5+ 7+  1  6  1  1
Curve Equation t Generators 16275d1 [0,-1,1,-168,-772] 1 [-7:3:1]
16275e (1 curve)	1	3+ 5+ 7+ 31+	-2 3+ 5+ 7+  5 -2 -3 -7
Curve Equation t Generators 16275e1 [0,-1,1,-13958,399068] 1 [28:171:1]
16275f (3 curves)	0	3+ 5+ 7+ 31-	0 3+ 5+ 7+  0 -5  0  2
Curve Equation t 16275f1 [0,-1,1,567,-11482] 1 16275f2 [0,-1,1,-26433,-1648357] 1 16275f3 [0,-1,1,-2142183,-1206079732] 1
16275g (2 curves)	0	3+ 5+ 7+ 31-	0 3+ 5+ 7+  3 -2  3  5
Curve Equation t 16275g1 [0,-1,1,-79583,8667818] 1 16275g2 [0,-1,1,-117083,-266557] 1
16275h (2 curves)	0	3+ 5+ 7+ 31-	0 3+ 5+ 7+  3  4 -3 -1
Curve Equation t 16275h1 [0,-1,1,-639583,83484693] 1 16275h2 [0,-1,1,-26795833,-53377274682] 1
16275i (2 curves)	2	3+ 5+ 7+ 31-	0 3+ 5+ 7+ -3 -2 -3 -7
Curve Equation t Generators 16275i1 [0,-1,1,-273,-772] 1 [-14:10:1]&[-4:15:1] 16275i2 [0,-1,1,-18873,-991687] 1 [-79:0:1]&[2074:27093:8]
16275j (2 curves)	1	3+ 5+ 7- 31-	-1 3+ 5+ 7- -2  4  0 -4
Curve Equation t Generators 16275j1 [1,1,1,87,-594] 2 [10:32:1] 16275j2 [1,1,1,-788,-7594] 2 [-19:40:1]
16275k (1 curve)	1	3+ 5+ 7- 31-	2 3+ 5+ 7- -5  4  3 -7
Curve Equation t Generators 16275k1 [0,-1,1,-13958,577193] 1 [-502:8767:8]
16275l (1 curve)	1	3+ 5- 7+ 31-	0 3+ 5- 7+  5  0  5  7
Curve Equation t Generators 16275l1 [0,-1,1,-9933,384368] 1 [56:24:1]
16275m (2 curves)	1	3+ 5- 7+ 31-	2 3+ 5- 7+ -3 -4  7  5
Curve Equation t Generators 16275m1 [0,-1,1,-80508,-8765257] 1 [3418:47085:8] 16275m2 [0,-1,1,-962458,361094193] 1 [50198347038:298585116175:75151448]
16275n (1 curve)	0	3+ 5- 7- 31-	0 3+ 5- 7- -3  2  7  1
Curve Equation t 16275n1 [0,-1,1,-6333,105068] 1
16275o (2 curves)	0	3- 5+ 7+ 31+	-1 3- 5+ 7+  2  2 -2  8
Curve Equation t 16275o1 [1,0,0,-88,167] 2 16275o2 [1,0,0,287,1292] 2
16275p (2 curves)	0	3- 5+ 7+ 31+	-1 3- 5+ 7+  2 -4 -8 -4
Curve Equation t 16275p1 [1,0,0,-139913,-20225808] 2 16275p2 [1,0,0,-2240788,-1291255183] 2
16275q (1 curve)	1	3- 5+ 7+ 31-	0 3- 5+ 7+ -3 -2 -7  1
Curve Equation t Generators 16275q1 [0,1,1,-253,739] 1 [-1:31:1]
16275r (1 curve)	0	3- 5+ 7- 31-	0 3- 5+ 7-  5  0 -5  7
Curve Equation t 16275r1 [0,1,1,-248333,47549369] 1
16275s (4 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7-  0 -2  2 -4
Curve Equation t 16275s1 [1,0,1,-3501,-71477] 2 16275s2 [1,0,1,-13626,536023] 4 16275s3 [1,0,1,-210501,37154773] 2 16275s4 [1,0,1,21249,2837773] 2
16275t (6 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7-  4  2  6  4
Curve Equation t 16275t1 [1,0,1,-473001,125171023] 2 16275t2 [1,0,1,-473126,125101523] 4 16275t3 [1,0,1,-593251,56630273] 4 16275t4 [1,0,1,-355001,189125273] 2 16275t5 [1,0,1,-5340126,-4709232227] 2 16275t6 [1,0,1,2231624,440813273] 2
16275u (4 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7-  4  6  2  4
Curve Equation t 16275u1 [1,0,1,-144526,-21038677] 2 16275u2 [1,0,1,-235651,8668073] 4 16275u3 [1,0,1,-2851276,1850068073] 2 16275u4 [1,0,1,921974,68864573] 2
16275v (2 curves)	0	3- 5+ 7- 31-	-1 3- 5+ 7-  2  0  4  4
Curve Equation t 16275v1 [1,0,0,-1774688,-930537633] 2 16275v2 [1,0,0,-28571563,-58784990758] 2
16275w (2 curves)	0	3- 5+ 7- 31-	-2 3- 5+ 7- -3  4 -7  5
Curve Equation t 16275w1 [0,1,1,-38498,2873354] 5 16275w2 [0,1,1,-2012708,-1099682506] 1
16275x (1 curve)	2	3- 5- 7+ 31-	-2 3- 5- 7+ -5 -4 -3 -7
Curve Equation t Generators 16275x1 [0,1,1,-558,4394] 1 [108:-1103:1]&[-12:97:1]
16275y (1 curve)	0	3- 5- 7- 31+	2 3- 5- 7-  1 -6 -1  1
Curve Equation t 16275y1 [0,1,1,-4208,-104881] 1
16275z (1 curve)	0	3- 5- 7- 31+	2 3- 5- 7-  5  2  3 -7
Curve Equation t 16275z1 [0,1,1,-558,2969] 1
16275ba (2 curves)	1	3- 5- 7- 31-	0 3- 5- 7-  3  2 -3  5
Curve Equation t Generators 16275ba1 [0,1,1,-3183,68069] 3 [-27:367:1] 16275ba2 [0,1,1,-4683,-4006] 1 [-28:325:1]
16275bb (2 curves)	1	3- 5- 7- 31-	0 3- 5- 7-  3 -4  3 -1
Curve Equation t Generators 16275bb1 [0,1,1,-25583,657644] 3 [-62:1417:1] 16275bb2 [0,1,1,-1071833,-427446931] 1 [-4774:1025:8]
16275bc (2 curves)	1	3- 5- 7- 31-	0 3- 5- 7- -3  2  3 -7
Curve Equation t Generators 16275bc1 [0,1,1,-6833,-110131] 3 [-53:325:1] 16275bc2 [0,1,1,-471833,-124904506] 1 [-3174:17:8]

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