Cremona's table of elliptic curves

85850 = 2 · 5² · 17 · 101

Class	r	Atkin-Lehner	Eigenvalues
85850a (2 curves)	1	2+ 5+ 17+ 101+	2+ -1 5+  1  0 -2 17+  2
Curve Equation t Generators 85850a1 [1,1,0,1725,-69875] 1 [30:85:1] 85850a2 [1,1,0,-91775,-10754375] 1 [540:9605:1]
85850b (2 curves)	1	2+ 5+ 17+ 101+	2+  2 5+  2 -2  2 17+  4
Curve Equation t Generators 85850b1 [1,1,0,-56425,4357125] 2 [-74817:11254923:4913] 85850b2 [1,1,0,-864425,308973125] 2 [1450:45175:1]
85850c (2 curves)	1	2+ 5+ 17+ 101+	2+  2 5+  2 -2  2 17+ -4
Curve Equation t Generators 85850c1 [1,1,0,-8900,-208000] 2 [48540:2031680:27] 85850c2 [1,1,0,-59400,5397500] 2 [7190:605780:1]
85850d (1 curve)	0	2+ 5+ 17+ 101-	2+  1 5+  2  0 -3 17+ -5
Curve Equation t 85850d1 [1,0,1,-3019626,-2019909852] 1
85850e (1 curve)	0	2+ 5+ 17+ 101-	2+  1 5+  2 -5  2 17+  5
Curve Equation t 85850e1 [1,0,1,-886001,320934148] 1
85850f (1 curve)	0	2+ 5+ 17+ 101-	2+  1 5+ -2  3 -2 17+ -7
Curve Equation t 85850f1 [1,0,1,-232876,-43322102] 1
85850g (1 curve)	0	2+ 5+ 17+ 101-	2+  1 5+  5  6  0 17+ -2
Curve Equation t 85850g1 [1,0,1,-12626,546148] 1
85850h (2 curves)	0	2+ 5+ 17+ 101-	2+ -2 5+  2  4  2 17+ -4
Curve Equation t 85850h1 [1,0,1,-111751,-14388102] 2 85850h2 [1,0,1,-111251,-14523102] 2
85850i (1 curve)	0	2+ 5+ 17+ 101-	2+  3 5+ -1 -2  4 17+ -6
Curve Equation t 85850i1 [1,-1,0,-1417,59741] 1
85850j (1 curve)	2	2+ 5+ 17- 101+	2+  0 5+  2  0 -5 17-  2
Curve Equation t Generators 85850j1 [1,-1,0,-47,701] 1 [10:29:1]&[2030:31263:8]
85850k (1 curve)	2	2+ 5+ 17- 101+	2+ -1 5+ -4 -5 -4 17-  7
Curve Equation t Generators 85850k1 [1,1,0,825,8125] 1 [25:200:1]&[-5:65:1]
85850l (1 curve)	2	2+ 5- 17- 101-	2+ -2 5- -2 -2  1 17-  0
Curve Equation t Generators 85850l1 [1,0,1,-42576,3392798] 1 [121:67:1]&[102:286:1]
85850m (1 curve)	0	2- 5+ 17+ 101+	2- -1 5+  2  1 -6 17+  1
Curve Equation t 85850m1 [1,1,1,3312,163531] 1
85850n (2 curves)	0	2- 5+ 17+ 101+	2-  2 5+ -2 -2 -2 17+ -8
Curve Equation t 85850n1 [1,1,1,-23034203213,-1345584581905469] 2 85850n2 [1,1,1,-23034201213,-1345584827253469] 2
85850o (1 curve)	0	2- 5+ 17+ 101+	2-  3 5+  1  0 -2 17+ -6
Curve Equation t 85850o1 [1,-1,1,-77114880,-260629324253] 1
85850p (1 curve)	2	2- 5+ 17+ 101+	2- -3 5+ -2  3 -2 17+ -3
Curve Equation t Generators 85850p1 [1,-1,1,-255,14247] 1 [-21:110:1]&[-11:130:1]
85850q (1 curve)	1	2- 5+ 17+ 101-	2- -1 5+  2  1  2 17+  3
Curve Equation t Generators 85850q1 [1,1,1,-213,-2219] 1 [1190:13901:8]
85850r (1 curve)	1	2- 5+ 17+ 101-	2- -1 5+ -4  1  0 17+  1
Curve Equation t Generators 85850r1 [1,1,1,-218563,99157281] 1 [2195:-102098:1]
85850s (1 curve)	1	2- 5+ 17+ 101-	2- -1 5+ -4 -2  5 17+  3
Curve Equation t Generators 85850s1 [1,1,1,-629963,-206179719] 1 [1395:-41098:1]
85850t (1 curve)	1	2- 5+ 17+ 101-	2-  2 5+  2 -2 -1 17+  0
Curve Equation t Generators 85850t1 [1,1,1,-1703,26461] 1 [11:90:1]
85850u (2 curves)	1	2- 5+ 17+ 101-	2- -2 5+  2  0 -6 17+  4
Curve Equation t Generators 85850u1 [1,0,0,-3938,-88508] 2 [-44:30:1] 85850u2 [1,0,0,4062,-400508] 2 [162:-2206:1]
85850v (1 curve)	1	2- 5+ 17+ 101-	2- -3 5+ -3  2 -4 17+ -2
Curve Equation t Generators 85850v1 [1,-1,1,-3463980,-2490262353] 1 [2989:116205:1]
85850w (1 curve)	0	2- 5+ 17- 101-	2-  1 5+ -4  2  1 17- -1
Curve Equation t 85850w1 [1,0,0,2312,989242] 1
85850x (1 curve)	1	2- 5- 17+ 101+	2-  0 5- -2  0  5 17+  2
Curve Equation t Generators 85850x1 [1,-1,1,-1180,86447] 1 [5:281:1]

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