Cremona's table of elliptic curves

21024 = 2⁵ · 3² · 73

Class	r	Atkin-Lehner	Eigenvalues
21024a (1 curve)	0	2+ 3+ 73-	2+ 3+  3  2  4  6 -3  5
Curve Equation t 21024a1 [0,0,0,-216,3888] 1
21024b (1 curve)	0	2+ 3+ 73-	2+ 3+  3 -2 -4  6 -3 -5
Curve Equation t 21024b1 [0,0,0,-216,-3888] 1
21024c (2 curves)	0	2+ 3- 73+	2+ 3- -2  2  6  0  8 -4
Curve Equation t 21024c1 [0,0,0,-381,1564] 2 21024c2 [0,0,0,-2811,-56270] 2
21024d (2 curves)	0	2+ 3- 73+	2+ 3- -4 -2  0  6  4  4
Curve Equation t 21024d1 [0,0,0,-957,-11140] 2 21024d2 [0,0,0,-2172,22880] 2
21024e (2 curves)	1	2+ 3- 73-	2+ 3-  0  2  0  4  6 -4
Curve Equation t Generators 21024e1 [0,0,0,-165,164] 2 [25:108:1] 21024e2 [0,0,0,645,1298] 2 [146:1107:8]
21024f (1 curve)	1	2- 3+ 73-	2- 3+ -3  2 -4  6  3  5
Curve Equation t Generators 21024f1 [0,0,0,-24,-144] 1 [12:36:1]
21024g (1 curve)	1	2- 3+ 73-	2- 3+ -3 -2  4  6  3 -5
Curve Equation t Generators 21024g1 [0,0,0,-24,144] 1 [0:12:1]
21024h (2 curves)	1	2- 3- 73+	2- 3- -2  0  4  4  4  0
Curve Equation t Generators 21024h1 [0,0,0,-201,1064] 2 [4:18:1] 21024h2 [0,0,0,69,3710] 2 [22:126:1]
21024i (2 curves)	1	2- 3- 73+	2- 3- -2  0 -4  4  4  0
Curve Equation t Generators 21024i1 [0,0,0,-201,-1064] 2 [-9:4:1] 21024i2 [0,0,0,69,-3710] 2 [18:58:1]
21024j (2 curves)	1	2- 3- 73+	2- 3- -2 -2 -6  0  8  4
Curve Equation t Generators 21024j1 [0,0,0,-381,-1564] 2 [-11:36:1] 21024j2 [0,0,0,-2811,56270] 2 [37:54:1]
21024k (2 curves)	1	2- 3- 73+	2- 3- -4  2  0  6  4 -4
Curve Equation t Generators 21024k1 [0,0,0,-957,11140] 2 [23:36:1] 21024k2 [0,0,0,-2172,-22880] 2 [-34:108:1]
21024l (2 curves)	0	2- 3- 73-	2- 3-  0 -2  0  4  6  4
Curve Equation t 21024l1 [0,0,0,-165,-164] 2 21024l2 [0,0,0,645,-1298] 2
21024m (2 curves)	0	2- 3- 73-	2- 3-  0  4 -2  0 -6  4
Curve Equation t 21024m1 [0,0,0,-225,-1296] 2 21024m2 [0,0,0,-315,-162] 2
21024n (2 curves)	2	2- 3- 73-	2- 3-  0 -4  2  0 -6 -4
Curve Equation t Generators 21024n1 [0,0,0,-225,1296] 2 [-15:36:1]&[0:36:1] 21024n2 [0,0,0,-315,162] 2 [-2:28:1]&[18:18:1]
21024o (2 curves)	0	2- 3- 73-	2- 3-  2  2  2  2 -6  4
Curve Equation t 21024o1 [0,0,0,-849,9488] 2 21024o2 [0,0,0,-444,18560] 2
21024p (2 curves)	0	2- 3- 73-	2- 3-  2 -2 -2  2 -6 -4
Curve Equation t 21024p1 [0,0,0,-849,-9488] 2 21024p2 [0,0,0,-444,-18560] 2

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