Cremona's table of elliptic curves

53475 = 3 · 5² · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
53475a (2 curves)	1	3+ 5+ 23+ 31+	-1 3+ 5+ -2  0  2  0 -2
Curve Equation t Generators 53475a1 [1,1,1,5162,143906] 2 [6:415:1] 53475a2 [1,1,1,-29713,1329656] 2 [20:852:1]
53475b (4 curves)	2	3+ 5+ 23+ 31-	-1 3+ 5+  0 -4 -2 -6 -4
Curve Equation t Generators 53475b1 [1,1,1,-48438,3753906] 4 [-250:687:1]&[750:1371:8] 53475b2 [1,1,1,-168563,-22433344] 4 [-310:542:1]&[-160:767:1] 53475b3 [1,1,1,315812,-127058344] 2 [970:-33548:1]&[3044482569220:290836286820471:331373888] 53475b4 [1,1,1,-2574938,-1591389844] 2 [-931:542:1]&[-116255:78008:125]
53475c (6 curves)	0	3+ 5+ 23- 31+	1 3+ 5+  0 -4  2 -2 -4
Curve Equation t 53475c1 [1,1,0,-270725,54105000] 2 53475c2 [1,1,0,-270850,54052375] 4 53475c3 [1,1,0,-181725,90326250] 2 53475c4 [1,1,0,-361975,14413000] 4 53475c5 [1,1,0,1423400,116179375] 2 53475c6 [1,1,0,-3605350,-2622450875] 2
53475d (2 curves)	0	3+ 5+ 23- 31+	-1 3+ 5+  2  4  0  2 -4
Curve Equation t 53475d1 [1,1,1,-144938,82516406] 2 53475d2 [1,1,1,-3868813,2920109156] 2
53475e (1 curve)	0	3+ 5+ 23- 31+	2 3+ 5+ -4 -2  0 -4 -4
Curve Equation t 53475e1 [0,-1,1,-64858,-6336507] 1
53475f (1 curve)	0	3+ 5+ 23- 31+	-2 3+ 5+  0  2 -4  4  8
Curve Equation t 53475f1 [0,-1,1,-8,-832] 1
53475g (1 curve)	1	3+ 5+ 23- 31-	1 3+ 5+  2 -4  2  3 -4
Curve Equation t Generators 53475g1 [1,1,0,9050,9302125] 1 [-84:2863:1]
53475h (2 curves)	1	3+ 5+ 23- 31-	-1 3+ 5+ -2  0  2  4  6
Curve Equation t Generators 53475h1 [1,1,1,712,3656] 2 [20:152:1] 53475h2 [1,1,1,-3163,26906] 2 [-20:297:1]
53475i (1 curve)	1	3+ 5- 23+ 31-	1 3+ 5- -4 -2 -7  0 -3
Curve Equation t Generators 53475i1 [1,1,0,-575,-17250] 1 [110:1070:1]
53475j (2 curves)	1	3- 5+ 23- 31+	1 3- 5+ -2 -4  4  2  0
Curve Equation t Generators 53475j1 [1,0,1,5724,-51565427] 2 [2207:102396:1] 53475j2 [1,0,1,-2044151,-1105201177] 2 [-6954:34523:8]
53475k (2 curves)	1	3- 5+ 23- 31+	1 3- 5+  4 -4  4 -4 -6
Curve Equation t Generators 53475k1 [1,0,1,-4751,-125227] 2 [198029:834387:2197] 53475k2 [1,0,1,-8626,107273] 2 [297:4726:1]
53475l (2 curves)	1	3- 5+ 23- 31+	-1 3- 5+  0  0 -6  2 -4
Curve Equation t Generators 53475l1 [1,0,0,-763,-8608] 2 [707:18434:1] 53475l2 [1,0,0,-12388,-531733] 2 [19182:495083:27]
53475m (1 curve)	1	3- 5+ 23- 31+	-1 3- 5+ -3 -3  6  2 -4
Curve Equation t Generators 53475m1 [1,0,0,-69038,5735817] 1 [1:-2381:1]
53475n (2 curves)	2	3- 5+ 23- 31-	-1 3- 5+ -4 -4  0  0  2
Curve Equation t Generators 53475n1 [1,0,0,-14813,691992] 2 [-1114:2507:8]&[-83:1204:1] 53475n2 [1,0,0,-18688,300617] 2 [-127:857:1]&[-88:1169:1]
53475o (1 curve)	2	3- 5- 23+ 31-	-1 3- 5- -2 -4 -2 -3 -4
Curve Equation t Generators 53475o1 [1,0,0,362,74417] 1 [32:329:1]&[101:1019:1]
53475p (1 curve)	1	3- 5- 23- 31-	-1 3- 5-  4 -2  7  0 -3
Curve Equation t Generators 53475p1 [1,0,0,-23,-138] 1 [7:4:1]

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