Cremona's table of elliptic curves

21008 = 2⁴ · 13 · 101

Class	r	Atkin-Lehner	Eigenvalues
21008a (2 curves)	1	2+ 13+ 101+	2+  0 -2 -2 -6 13+  2  4
Curve Equation t Generators 21008a1 [0,0,0,-766,-8109] 2 [-5131:510:343] 21008a2 [0,0,0,-1271,3910] 2 [-15:140:1]
21008b (1 curve)	2	2- 13+ 101+	2-  1 -1 -3  0 13+ -3 -8
Curve Equation t Generators 21008b1 [0,1,0,-9896,-385612] 1 [116:202:1]&[878:25856:1]
21008c (1 curve)	0	2- 13+ 101+	2- -1  2  2 -4 13+  3 -7
Curve Equation t 21008c1 [0,-1,0,-39872,3079168] 1
21008d (1 curve)	0	2- 13+ 101+	2-  2 -1 -4 -4 13+ -3 -4
Curve Equation t 21008d1 [0,-1,0,-312736,-67812096] 1
21008e (2 curves)	0	2- 13+ 101+	2- -2  2 -4  0 13+  2  2
Curve Equation t 21008e1 [0,1,0,-352,-1932] 2 21008e2 [0,1,0,928,-11660] 2
21008f (1 curve)	2	2- 13+ 101+	2- -2 -4 -3  0 13+ -3  1
Curve Equation t Generators 21008f1 [0,1,0,-40,564] 1 [-10:8:1]&[-4:26:1]
21008g (1 curve)	0	2- 13+ 101+	2-  3 -2 -2 -4 13+  3 -5
Curve Equation t 21008g1 [0,0,0,29,-94] 1
21008h (2 curves)	1	2- 13+ 101-	2- -2 -2  0  0 13+  6  4
Curve Equation t Generators 21008h1 [0,1,0,-29,46] 2 [-2:10:1] 21008h2 [0,1,0,36,280] 2 [10:145:8]
21008i (2 curves)	1	2- 13- 101+	2- -1  0 -2  0 13-  3  1
Curve Equation t Generators 21008i1 [0,-1,0,52,316] 1 [5:26:1] 21008i2 [0,-1,0,-2548,50444] 1 [29:10:1]
21008j (2 curves)	1	2- 13- 101+	2-  2  0  1  0 13- -3  1
Curve Equation t Generators 21008j1 [0,-1,0,9992,8304] 1 [636:16224:1] 21008j2 [0,-1,0,-138728,21250928] 1 [676:15360:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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