Cremona's table of elliptic curves

72850 = 2 · 5² · 31 · 47

Class	r	Atkin-Lehner	Eigenvalues
72850a (1 curve)	1	2+ 5+ 31+ 47+	2+  2 5+  3 -6  2 -2 -7
Curve Equation t Generators 72850a1 [1,1,0,-34750,2512500] 1 [105:135:1]
72850b (4 curves)	0	2+ 5+ 31+ 47-	2+  0 5+  0 -4 -2  2  4
Curve Equation t 72850b1 [1,-1,0,941833,195149435741] 2 72850b2 [1,-1,0,-499058167,4217649435741] 4 72850b3 [1,-1,0,-1051308167,-6802499314259] 2 72850b4 [1,-1,0,-7946808167,272671798185741] 4
72850c (2 curves)	0	2+ 5+ 31+ 47-	2+  0 5+  0 -4 -2 -4  4
Curve Equation t 72850c1 [1,-1,0,-3059880317,-65148902907659] 2 72850c2 [1,-1,0,-48958317817,-4169524879470159] 2
72850d (1 curve)	0	2+ 5+ 31+ 47-	2+  0 5+  0  5 -2 -4  4
Curve Equation t 72850d1 [1,-1,0,-1554392,1606878016] 1
72850e (1 curve)	0	2+ 5+ 31+ 47-	2+  0 5+  5 -4 -2  6 -1
Curve Equation t 72850e1 [1,-1,0,7558,-1022284] 1
72850f (1 curve)	0	2+ 5+ 31+ 47-	2+ -3 5+  0  2 -5 -4  1
Curve Equation t 72850f1 [1,-1,0,1301183,-709806659] 1
72850g (1 curve)	0	2+ 5+ 31+ 47-	2+ -3 5+ -3  2  4 -4  4
Curve Equation t 72850g1 [1,-1,0,-11467,-468059] 1
72850h (2 curves)	2	2+ 5+ 31- 47+	2+ -2 5+  0 -2  4 -8 -4
Curve Equation t Generators 72850h1 [1,0,1,11599,-81552] 2 [101:-1508:1]&[57:846:1] 72850h2 [1,0,1,-47151,-669052] 2 [-208:491:1]&[292:3091:1]
72850i (2 curves)	0	2+ 5+ 31- 47+	2+ -2 5+  0 -4 -6 -6  2
Curve Equation t 72850i1 [1,0,1,-5026,-71052] 2 72850i2 [1,0,1,-69026,-6983052] 2
72850j (1 curve)	1	2+ 5+ 31- 47-	2+  1 5+ -3 -2  0  0 -4
Curve Equation t Generators 72850j1 [1,0,1,-151,-302] 1 [-4:17:1]
72850k (2 curves)	1	2+ 5+ 31- 47-	2+ -1 5+  1  6  4  0 -4
Curve Equation t Generators 72850k1 [1,1,0,-16300,722000] 1 [3476:-161:64] 72850k2 [1,1,0,-288300,-59582000] 1 [-299:173:1]
72850l (2 curves)	1	2- 5+ 31+ 47-	2-  0 5+ -4  2 -2 -6  0
Curve Equation t Generators 72850l1 [1,-1,1,-113029626730,-14789313457110103] 2 [2024759:2837499745:1] 72850l2 [1,-1,1,-1814065658730,-940431884774358103] 2 [458549840741:508646910601315:205379]
72850m (1 curve)	1	2- 5+ 31+ 47-	2- -2 5+ -3  2  6 -2  5
Curve Equation t Generators 72850m1 [1,0,0,6287,21417] 1 [92:1129:1]
72850n (1 curve)	1	2- 5+ 31+ 47-	2- -3 5+ -4 -4 -5  0  3
Curve Equation t Generators 72850n1 [1,-1,1,-3480,-544353] 1 [189:-2445:1]
72850o (2 curves)	1	2- 5+ 31- 47+	2-  0 5+  4 -6  2  2  4
Curve Equation t Generators 72850o1 [1,-1,1,-12130,-569503] 2 [489:10255:1] 72850o2 [1,-1,1,-200130,-34409503] 2 [16023:193225:27]
72850p (1 curve)	1	2- 5+ 31- 47+	2-  1 5+  0 -4 -3  0  5
Curve Equation t Generators 72850p1 [1,0,0,87,1817] 1 [-8:29:1]
72850q (2 curves)	1	2- 5+ 31- 47+	2- -1 5+  1  0  4  0 -4
Curve Equation t Generators 72850q1 [1,1,1,-1163,-969] 1 [-53820:673033:8000] 72850q2 [1,1,1,-65788,-6522219] 1 [-18545:9799:125]
72850r (1 curve)	1	2- 5+ 31- 47+	2- -1 5+ -4  0 -1  0  1
Curve Equation t Generators 72850r1 [1,1,1,63496337,3580260041781] 1 [37595:7669202:1]
72850s (1 curve)	2	2- 5+ 31- 47-	2- -2 5+ -1 -4 -4 -2 -5
Curve Equation t Generators 72850s1 [1,0,0,-1188,254992] 1 [132:1484:1]&[-54:430:1]

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