Cremona's table of elliptic curves

53950 = 2 · 5² · 13 · 83

Class	r	Atkin-Lehner	Eigenvalues
53950a (2 curves)	1	2+ 5+ 13+ 83+	2+ -2 5+ -2  4 13+ -6  4
Curve Equation t Generators 53950a1 [1,0,1,-651,14198] 2 [7:-104:1] 53950a2 [1,0,1,-13651,612198] 2 [-38:1056:1]
53950b (4 curves)	0	2+ 5+ 13+ 83-	2+  0 5+  0  0 13+ -2  0
Curve Equation t 53950b1 [1,-1,0,-39960542,97178372116] 2 53950b2 [1,-1,0,-48152542,54473476116] 4 53950b3 [1,-1,0,172295458,413583268116] 2 53950b4 [1,-1,0,-399672542,-3037847963884] 2
53950c (1 curve)	0	2+ 5+ 13+ 83-	2+  0 5+ -2  4 13+ -7  0
Curve Equation t 53950c1 [1,-1,0,-1532,-22704] 1
53950d (4 curves)	0	2+ 5+ 13+ 83-	2+  0 5+  4 -4 13+  6  4
Curve Equation t 53950d1 [1,-1,0,-5417,175741] 2 53950d2 [1,-1,0,-89917,10400241] 4 53950d3 [1,-1,0,-93167,9610491] 2 53950d4 [1,-1,0,-1438667,664543991] 2
53950e (1 curve)	0	2+ 5+ 13+ 83-	2+  1 5+ -1  3 13+ -1  2
Curve Equation t 53950e1 [1,0,1,-92776,-11497802] 1
53950f (2 curves)	0	2+ 5+ 13+ 83-	2+ -1 5+  1  3 13+  0 -4
Curve Equation t 53950f1 [1,1,0,500,50000] 1 53950f2 [1,1,0,-4500,-1355000] 1
53950g (1 curve)	2	2+ 5+ 13+ 83-	2+ -1 5+ -3 -1 13+  7 -4
Curve Equation t Generators 53950g1 [1,1,0,375,5125] 1 [10:-105:1]&[-6:55:1]
53950h (1 curve)	0	2+ 5+ 13+ 83-	2+ -3 5+ -3 -3 13+  4  0
Curve Equation t 53950h1 [1,-1,0,-7042,-303134] 1
53950i (1 curve)	2	2+ 5+ 13- 83+	2+ -1 5+ -4  0 13-  3 -8
Curve Equation t Generators 53950i1 [1,1,0,-25,65] 1 [-4:13:1]&[1:-7:1]
53950j (1 curve)	0	2+ 5+ 13- 83+	2+  2 5+  3  2 13- -6  5
Curve Equation t 53950j1 [1,1,0,-875,-10375] 1
53950k (1 curve)	1	2+ 5+ 13- 83-	2+  1 5+  1  1 13- -2  6
Curve Equation t Generators 53950k1 [1,0,1,10239,-287052] 1 [921:8158:27]
53950l (1 curve)	1	2+ 5+ 13- 83-	2+ -3 5+ -1 -5 13-  3  6
Curve Equation t Generators 53950l1 [1,-1,0,15158,2985316] 1 [1424:53238:1]
53950m (1 curve)	0	2+ 5- 13+ 83+	2+ -1 5- -5 -3 13+ -6  6
Curve Equation t 53950m1 [1,1,0,198425,-72457675] 1
53950n (2 curves)	1	2+ 5- 13- 83+	2+  0 5- -2  4 13-  8 -2
Curve Equation t Generators 53950n1 [1,-1,0,-1952,-134144] 2 [8405:19256:125] 53950n2 [1,-1,0,-53152,-4690944] 2 [279:1323:1]
53950o (1 curve)	1	2+ 5- 13- 83+	2+  1 5-  3 -3 13-  0  2
Curve Equation t Generators 53950o1 [1,0,1,-1086,110568] 1 [312:5336:1]
53950p (1 curve)	1	2+ 5- 13- 83+	2+ -1 5-  1  5 13- -4  2
Curve Equation t Generators 53950p1 [1,1,0,-160,-850] 1 [25:95:1]
53950q (2 curves)	2	2+ 5- 13- 83-	2+  1 5- -4  0 13- -3 -4
Curve Equation t Generators 53950q1 [1,0,1,-38526,2908848] 3 [-1674:11623:8]&[-147:2397:1] 53950q2 [1,0,1,34099,12088648] 1 [-29:3342:1]&[166:4642:1]
53950r (2 curves)	0	2- 5+ 13+ 83+	2- -1 5+  1 -6 13+  3  2
Curve Equation t 53950r1 [1,1,1,1922212,-454305219] 1 53950r2 [1,1,1,-35106163,-81933952719] 1
53950s (2 curves)	0	2- 5+ 13+ 83+	2- -1 5+  4  0 13+  3 -4
Curve Equation t 53950s1 [1,1,1,-963138,363606031] 1 53950s2 [1,1,1,852487,1511081031] 1
53950t (2 curves)	0	2- 5+ 13+ 83+	2- -2 5+  0  2 13+  6  0
Curve Equation t 53950t1 [1,0,0,-4338,-34208] 2 53950t2 [1,0,0,16412,-262458] 2
53950u (1 curve)	1	2- 5+ 13+ 83-	2- -1 5+ -3  2 13+ -5  2
Curve Equation t Generators 53950u1 [1,1,1,-963,-42719] 1 [59:302:1]
53950v (2 curves)	1	2- 5+ 13+ 83-	2-  2 5+  1  6 13+ -6  5
Curve Equation t Generators 53950v1 [1,1,1,-1474313,688407031] 1 [725:762:1] 53950v2 [1,1,1,-1448688,713523281] 1 [2325:98437:1]
53950w (1 curve)	1	2- 5+ 13- 83+	2- -2 5+ -5 -2 13-  6 -7
Curve Equation t Generators 53950w1 [1,0,0,30687,1196617] 1 [642:-17221:1]
53950x (2 curves)	0	2- 5+ 13- 83-	2-  0 5+  0  4 13- -2 -2
Curve Equation t 53950x1 [1,-1,1,-7105,-203603] 2 53950x2 [1,-1,1,-27855,1580897] 2
53950y (1 curve)	0	2- 5+ 13- 83-	2-  1 5+  5 -3 13-  6  6
Curve Equation t 53950y1 [1,0,0,4960612,-9067130608] 1
53950z (1 curve)	1	2- 5- 13+ 83+	2- -1 5- -1  1 13+  2  6
Curve Equation t Generators 53950z1 [1,1,1,255987,-35881469] 1 [185:4132:1]
53950ba (2 curves)	0	2- 5- 13+ 83-	2-  0 5-  2  4 13+ -8 -2
Curve Equation t 53950ba1 [1,-1,1,-48805,-16816803] 2 53950ba2 [1,-1,1,-1328805,-587696803] 2
53950bb (1 curve)	0	2- 5- 13+ 83-	2-  1 5- -1  5 13+  4  2
Curve Equation t 53950bb1 [1,0,0,-4013,-98233] 1
53950bc (1 curve)	0	2- 5- 13+ 83-	2-  1 5-  4  0 13+ -3 -8
Curve Equation t 53950bc1 [1,0,0,-638,9392] 1
53950bd (1 curve)	0	2- 5- 13+ 83-	2- -1 5- -3 -3 13+  0  2
Curve Equation t 53950bd1 [1,1,1,-27138,13821031] 1
53950be (1 curve)	0	2- 5- 13- 83+	2-  0 5-  2  4 13-  7  0
Curve Equation t 53950be1 [1,-1,1,-38305,-2876303] 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