Cremona's table of elliptic curves

21624 = 2³ · 3 · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
21624a (1 curve)	0	2+ 3+ 17- 53+	2+ 3+ -2  3 -2 -5 17-  7
Curve Equation t 21624a1 [0,-1,0,-12584,-539172] 1
21624b (4 curves)	1	2+ 3+ 17- 53-	2+ 3+  2  0  4 -2 17-  0
Curve Equation t Generators 21624b1 [0,-1,0,-327,2340] 2 [-13:65:1] 21624b2 [0,-1,0,-732,-4140] 4 [-2030:7072:125] 21624b3 [0,-1,0,2328,-32292] 4 [2785640:24753989:64000] 21624b4 [0,-1,0,-10272,-397188] 2 [213:2652:1]
21624c (2 curves)	1	2+ 3+ 17- 53-	2+ 3+  2 -4  2  2 17- -4
Curve Equation t Generators 21624c1 [0,-1,0,-192,252] 2 [18:48:1] 21624c2 [0,-1,0,-2312,43500] 2 [97:850:1]
21624d (1 curve)	0	2+ 3- 17- 53-	2+ 3- -1 -2 -3 -1 17- -5
Curve Equation t 21624d1 [0,1,0,-70601,-7244037] 1
21624e (1 curve)	1	2- 3+ 17+ 53-	2- 3+  2  1  6 -1 17+ -7
Curve Equation t Generators 21624e1 [0,-1,0,-592,5308] 1 [6:44:1]
21624f (1 curve)	1	2- 3+ 17+ 53-	2- 3+ -3  2  3 -1 17+ -1
Curve Equation t Generators 21624f1 [0,-1,0,-57,909] 1 [23:106:1]
21624g (2 curves)	1	2- 3- 17+ 53+	2- 3-  0  2 -2 -2 17+ -4
Curve Equation t Generators 21624g1 [0,1,0,-388,-2656] 2 [-10:18:1] 21624g2 [0,1,0,672,-13680] 2 [32:204:1]
21624h (1 curve)	1	2- 3- 17- 53-	2- 3-  2  1 -3  2 17- -1
Curve Equation t Generators 21624h1 [0,1,0,-2432,-48672] 1 [67:306:1]
21624i (1 curve)	1	2- 3- 17- 53-	2- 3-  2 -1 -2  3 17-  1
Curve Equation t Generators 21624i1 [0,1,0,-298112,62538192] 1 [-216:10812:1]

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