Cremona's table of elliptic curves

30550 = 2 · 5² · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
30550a (2 curves)	0	2+ 5+ 13+ 47-	2+  0 5+  0  2 13+  2 -2
Curve Equation t 30550a1 [1,-1,0,-155567,23175341] 2 30550a2 [1,-1,0,-343567,-43564659] 2
30550b (2 curves)	2	2+ 5+ 13+ 47-	2+ -1 5+ -2 -3 13+  3 -7
Curve Equation t Generators 30550b1 [1,1,0,-3655,-569995] 1 [862:3963:8]&[221:2968:1] 30550b2 [1,1,0,-645855,-200050835] 1 [1021:13848:1]&[10142:250515:8]
30550c (1 curve)	0	2+ 5+ 13+ 47-	2+ -2 5+  2 -4 13+ -7 -4
Curve Equation t 30550c1 [1,0,1,-200526,-74251552] 1
30550d (1 curve)	0	2+ 5+ 13+ 47-	2+ -2 5+ -2  4 13+ -7  0
Curve Equation t 30550d1 [1,0,1,-2751,-186352] 1
30550e (1 curve)	2	2+ 5+ 13- 47+	2+  0 5+  2 -6 13-  3 -8
Curve Equation t Generators 30550e1 [1,-1,0,-47,141] 1 [-7:13:1]&[3:3:1]
30550f (1 curve)	0	2+ 5+ 13- 47+	2+  2 5+  2  0 13- -1  0
Curve Equation t 30550f1 [1,1,0,-109815,-14052715] 1
30550g (1 curve)	0	2+ 5+ 13- 47+	2+  3 5+  2 -3 13-  3  1
Curve Equation t 30550g1 [1,-1,0,1201133,162319541] 1
30550h (1 curve)	1	2+ 5+ 13- 47-	2+ -2 5+ -4  4 13-  7  2
Curve Equation t Generators 30550h1 [1,0,1,-6201,-188452] 1 [562:12906:1]
30550i (2 curves)	1	2+ 5- 13- 47+	2+  0 5-  0  4 13-  0 -8
Curve Equation t Generators 30550i1 [1,-1,0,-20282,-1064524] 2 [-92:174:1] 30550i2 [1,-1,0,-321082,-69947724] 2 [-327:174:1]
30550j (1 curve)	1	2+ 5- 13- 47+	2+  0 5-  4 -2 13-  2  4
Curve Equation t Generators 30550j1 [1,-1,0,-9992,388416] 1 [-37:859:1]
30550k (2 curves)	1	2+ 5- 13- 47+	2+  2 5-  0  0 13- -4  8
Curve Equation t Generators 30550k1 [1,1,0,-505485,138117725] 2 [329:2585:1] 30550k2 [1,1,0,-504685,138577725] 2 [495:2970:1]
30550l (2 curves)	1	2+ 5- 13- 47+	2+ -2 5-  2  0 13- -6  2
Curve Equation t Generators 30550l1 [1,0,1,-176,1398] 3 [-114:313:8] 30550l2 [1,0,1,1449,-23302] 1 [174:1001:8]
30550m (1 curve)	0	2+ 5- 13- 47-	2+  2 5-  4 -2 13-  5  2
Curve Equation t 30550m1 [1,1,0,18675,-1907875] 1
30550n (2 curves)	2	2+ 5- 13- 47-	2+ -2 5- -4 -6 13- -3  2
Curve Equation t Generators 30550n1 [1,0,1,-11076,448448] 3 [62:1:1]&[-242:7073:8] 30550n2 [1,0,1,18299,2206248] 1 [-74:706:1]&[214:13071:8]
30550o (2 curves)	0	2- 5+ 13+ 47+	2-  2 5+ -2  0 13+ -3 -4
Curve Equation t 30550o1 [1,1,1,-14088,645281] 1 30550o2 [1,1,1,50537,3300781] 1
30550p (2 curves)	0	2- 5+ 13+ 47+	2-  2 5+  4 -6 13+  3  2
Curve Equation t 30550p1 [1,1,1,-276888,56056031] 1 30550p2 [1,1,1,457487,275781031] 1
30550q (1 curve)	2	2- 5+ 13+ 47+	2- -2 5+ -4 -2 13+ -5  2
Curve Equation t Generators 30550q1 [1,0,0,747,-15263] 1 [18:55:1]&[26:135:1]
30550r (1 curve)	1	2- 5+ 13+ 47-	2-  0 5+ -4 -2 13+ -2  4
Curve Equation t Generators 30550r1 [1,-1,1,-400,3187] 1 [13:-15:1]
30550s (2 curves)	1	2- 5+ 13+ 47-	2-  2 5+ -2  0 13+  6  2
Curve Equation t Generators 30550s1 [1,1,1,-4388,174781] 1 [238:2019:8] 30550s2 [1,1,1,36237,-2912719] 1 [219:3838:1]
30550t (1 curve)	1	2- 5+ 13+ 47-	2- -2 5+  0  0 13+ -1 -2
Curve Equation t Generators 30550t1 [1,0,0,162,292] 1 [2:24:1]
30550u (2 curves)	0	2- 5- 13+ 47-	2-  0 5-  0  4 13+  0 -8
Curve Equation t 30550u1 [1,-1,1,-507055,-133572553] 2 30550u2 [1,-1,1,-8027055,-8751492553] 2
30550v (1 curve)	2	2- 5- 13+ 47-	2-  0 5- -2 -6 13+ -3 -8
Curve Equation t Generators 30550v1 [1,-1,1,-1180,16447] 1 [-298:845:8]&[19:-35:1]
30550w (2 curves)	0	2- 5- 13+ 47-	2- -2 5-  0  0 13+  4  8
Curve Equation t 30550w1 [1,0,0,-12637138,17289989892] 2 30550w2 [1,0,0,-12617138,17347449892] 2
30550x (1 curve)	0	2- 5- 13+ 47-	2- -2 5- -2  0 13+  1  0
Curve Equation t 30550x1 [1,0,0,-2745388,-1751098608] 1
30550y (1 curve)	2	2- 5- 13+ 47-	2- -3 5- -2 -3 13+ -3  1
Curve Equation t Generators 30550y1 [1,-1,1,48045,1288947] 1 [-21:530:1]&[123:-3070:1]
30550z (2 curves)	0	2- 5- 13- 47+	2-  1 5-  2 -3 13- -3 -7
Curve Equation t 30550z1 [1,0,0,-91388,-71066608] 3 30550z2 [1,0,0,-16146388,-24974061608] 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