Cremona's table of elliptic curves

29946 = 2 · 3 · 7 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
29946a (2 curves)	1	2+ 3+ 7+ 23+ 31+	2+ 3+  0 7+  0 -2  6  4
Curve Equation t Generators 29946a1 [1,1,0,-641665,198769141] 2 [-683:18202:1] 29946a2 [1,1,0,-10283905,12689326837] 2 [7253:-569062:1]
29946b (1 curve)	1	2+ 3+ 7+ 23+ 31+	2+ 3+ -3 7+ -6  1 -6 -2
Curve Equation t Generators 29946b1 [1,1,0,21,-21] 1 [5:-18:1]
29946c (1 curve)	0	2+ 3+ 7+ 23+ 31-	2+ 3+ -3 7+ -2 -6  2  5
Curve Equation t 29946c1 [1,1,0,-854,-9996] 1
29946d (1 curve)	1	2+ 3+ 7+ 23- 31-	2+ 3+ -3 7+  3 -1 -5  7
Curve Equation t Generators 29946d1 [1,1,0,4666,710196] 1 [-53:590:1]
29946e (2 curves)	1	2+ 3+ 7+ 23- 31-	2+ 3+ -4 7+ -2  6 -2 -6
Curve Equation t Generators 29946e1 [1,1,0,-2487,46485] 2 [39:-123:1] 29946e2 [1,1,0,-3927,-15435] 2 [-21:252:1]
29946f (2 curves)	0	2+ 3+ 7- 23+ 31+	2+ 3+  0 7-  4  6  6  0
Curve Equation t 29946f1 [1,1,0,1689825,1569892149] 2 29946f2 [1,1,0,-14397315,17634510153] 2
29946g (2 curves)	1	2+ 3- 7+ 23- 31+	2+ 3-  0 7+  2  2  2 -2
Curve Equation t Generators 29946g1 [1,0,1,-333906101,-2505416934004] 2 [75930:20208187:1] 29946g2 [1,0,1,-5441054111,-154479841697176] 2 [11826480:1660120091:125]
29946h (1 curve)	1	2+ 3- 7+ 23- 31+	2+ 3- -3 7+  2 -1  2 -2
Curve Equation t Generators 29946h1 [1,0,1,-13200265,18458490572] 1 [2104:-541:1]
29946i (1 curve)	1	2+ 3- 7- 23+ 31+	2+ 3-  1 7- -3  1 -3 -1
Curve Equation t Generators 29946i1 [1,0,1,5877602,-628168816] 1 [1834:-128671:1]
29946j (1 curve)	0	2+ 3- 7- 23+ 31-	2+ 3- -1 7-  2  2 -6  7
Curve Equation t 29946j1 [1,0,1,11,8] 1
29946k (2 curves)	0	2+ 3- 7- 23+ 31-	2+ 3-  3 7- -6 -1 -6  2
Curve Equation t 29946k1 [1,0,1,-241791497,1866265294412] 3 29946k2 [1,0,1,1849406968,-19392185754538] 1
29946l (1 curve)	0	2+ 3- 7- 23- 31+	2+ 3-  1 7-  6 -2 -6  5
Curve Equation t 29946l1 [1,0,1,707867,220454864] 1
29946m (2 curves)	1	2+ 3- 7- 23- 31-	2+ 3- -2 7-  2 -6 -2 -2
Curve Equation t Generators 29946m1 [1,0,1,-1082,76844] 2 [21:-263:1] 29946m2 [1,0,1,-34562,2460620] 2 [-180:1780:1]
29946n (1 curve)	0	2- 3+ 7+ 23+ 31+	2- 3+  3 7+ -5 -3  7  7
Curve Equation t 29946n1 [1,1,1,-2734,58469] 1
29946o (4 curves)	2	2- 3+ 7+ 23- 31-	2- 3+ -2 7+ -4 -6 -2  4
Curve Equation t Generators 29946o1 [1,1,1,56,-439] 2 [7:15:1]&[9:25:1] 29946o2 [1,1,1,-664,-6199] 4 [-146:195:8]&[-17:31:1] 29946o3 [1,1,1,-2524,41417] 2 [-442:1229:8]&[-15:283:1] 29946o4 [1,1,1,-10324,-408055] 2 [-59:31:1]&[997:30831:1]
29946p (2 curves)	2	2- 3+ 7- 23- 31+	2- 3+ -2 7- -4 -6 -6 -4
Curve Equation t Generators 29946p1 [1,1,1,-1049,438311] 2 [-73:400:1]&[-45:652:1] 29946p2 [1,1,1,-93209,10797095] 2 [-345:1600:1]&[-121:-4448:1]
29946q (2 curves)	1	2- 3- 7- 23+ 31-	2- 3-  2 7-  0 -2 -2 -8
Curve Equation t Generators 29946q1 [1,0,0,-112,2240] 2 [2:44:1] 29946q2 [1,0,0,-3352,74168] 2 [26:-82:1]
29946r (1 curve)	1	2- 3- 7- 23- 31+	2- 3-  1 7- -2 -5  6 -6
Curve Equation t Generators 29946r1 [1,0,0,-825,140409] 1 [156:-2031:1]
29946s (2 curves)	0	2- 3- 7- 23- 31-	2- 3-  1 7-  2 -6 -2 -5
Curve Equation t 29946s1 [1,0,0,-125751485,-546134818191] 5 29946s2 [1,0,0,-78729422645,-8502645032695671] 1

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

Part of Computational Number Theory
Back to Tables and computations