Cremona's table of elliptic curves

21424 = 2⁴ · 13 · 103

Class	r	Atkin-Lehner	Eigenvalues
21424a (2 curves)	0	2+ 13- 103+	2+  0  0  0  2 13-  6  8
Curve Equation t 21424a1 [0,0,0,-123730,16751763] 2 21424a2 [0,0,0,-123215,16898126] 2
21424b (1 curve)	2	2+ 13- 103+	2+  0  0 -1 -3 13- -7 -4
Curve Equation t Generators 21424b1 [0,0,0,-35,2] 1 [-2:8:1]&[-1:6:1]
21424c (1 curve)	0	2+ 13- 103+	2+  0  3  0 -4 13-  3  2
Curve Equation t 21424c1 [0,0,0,4,28] 1
21424d (4 curves)	1	2+ 13- 103-	2+  0 -2  0  4 13-  2 -4
Curve Equation t Generators 21424d1 [0,0,0,-191,-1666] 2 [370:2379:8] 21424d2 [0,0,0,-3571,-82110] 4 [29733:5126928:1] 21424d3 [0,0,0,-4091,-56630] 4 [6748826866:1163715107790:226981] 21424d4 [0,0,0,-57131,-5256006] 2 [-153891718782:6407346:1115157653]
21424e (1 curve)	1	2+ 13- 103-	2+  0 -2 -3 -5 13-  5  2
Curve Equation t Generators 21424e1 [0,0,0,-544571,154678474] 1 [426:2:1]
21424f (1 curve)	0	2- 13+ 103+	2- -1  1  4  0 13+  3  7
Curve Equation t 21424f1 [0,-1,0,-1360,18368] 1
21424g (1 curve)	0	2- 13+ 103+	2-  2 -2  1  3 13+ -3  4
Curve Equation t 21424g1 [0,-1,0,-1704,-26512] 1
21424h (1 curve)	0	2- 13+ 103+	2- -2 -2 -3  3 13+  5 -8
Curve Equation t 21424h1 [0,1,0,-46124744,120196550260] 1
21424i (1 curve)	1	2- 13+ 103-	2-  1  1 -4  4 13+  3  5
Curve Equation t Generators 21424i1 [0,1,0,-2200,34132] 1 [12:98:1]
21424j (1 curve)	1	2- 13+ 103-	2-  2 -4  3  5 13+ -3  2
Curve Equation t Generators 21424j1 [0,-1,0,-560,-64] 1 [34:138:1]
21424k (1 curve)	1	2- 13+ 103-	2- -3 -1 -4 -4 13+  3  3
Curve Equation t Generators 21424k1 [0,0,0,-2443,-2246] 1 [-33:206:1]
21424l (1 curve)	1	2- 13- 103+	2-  1  3  0  2 13- -1  1
Curve Equation t Generators 21424l1 [0,1,0,-104,308] 1 [-4:26:1]
21424m (1 curve)	1	2- 13- 103+	2-  1  3  0 -2 13-  7 -5
Curve Equation t Generators 21424m1 [0,1,0,-38524,2896888] 1 [111:26:1]
21424n (1 curve)	1	2- 13- 103+	2-  1 -3  3 -4 13-  5  4
Curve Equation t Generators 21424n1 [0,1,0,-56152,-5587436] 1 [534:10816:1]
21424o (3 curves)	1	2- 13- 103+	2-  2  0  1 -3 13- -3 -2
Curve Equation t Generators 21424o1 [0,-1,0,-499928,-135886864] 1 [-2842087258:20862:6967871] 21424o2 [0,-1,0,-502728,-134284816] 1 [-430:1482:1] 21424o3 [0,-1,0,-4894648,4115722608] 1 [-57870:9907626:125]
21424p (2 curves)	1	2- 13- 103+	2- -2  0  0  2 13-  2  4
Curve Equation t Generators 21424p1 [0,1,0,-7383688,7720164084] 2 [1555:988:1] 21424p2 [0,1,0,-118139528,494204115700] 2 [252868:19106191:64]
21424q (1 curve)	1	2- 13- 103+	2- -2  0  5 -3 13- -3 -6
Curve Equation t Generators 21424q1 [0,1,0,-408,-3308] 1 [-12:2:1]
21424r (2 curves)	0	2- 13- 103-	2-  0  0  4 -6 13-  6 -4
Curve Equation t 21424r1 [0,0,0,-35,-414] 2 21424r2 [0,0,0,-1075,-13518] 2
21424s (1 curve)	2	2- 13- 103-	2-  0 -2  1 -5 13- -3  2
Curve Equation t Generators 21424s1 [0,0,0,-3851,-74566] 1 [-38:130:1]&[-25:78:1]
21424t (1 curve)	0	2- 13- 103-	2- -1  1  0  6 13-  7 -1
Curve Equation t 21424t1 [0,-1,0,-20,28] 1
21424u (1 curve)	0	2- 13- 103-	2- -1 -1  0  6 13- -1 -1
Curve Equation t 21424u1 [0,-1,0,-98976,11982592] 1
21424v (1 curve)	0	2- 13- 103-	2-  2  2  3  3 13-  5 -4
Curve Equation t 21424v1 [0,-1,0,-1632,-24832] 1
21424w (1 curve)	2	2- 13- 103-	2- -3  1 -5  4 13- -3 -4
Curve Equation t Generators 21424w1 [0,0,0,413,-158] 1 [1:16:1]&[31:206:1]

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