Cremona's table of elliptic curves

52173 = 3² · 11 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
52173a (2 curves)	1	3+ 11+ 17+ 31+	1 3+  0 -4 11+ -4 17+ -4
Curve Equation t Generators 52173a1 [1,-1,0,-24072,1443555] 2 [782:663:8] 52173a2 [1,-1,0,-24537,1385244] 2 [878:139:8]
52173b (2 curves)	1	3+ 11- 17- 31+	-1 3+  0 -4 11- -4 17- -4
Curve Equation t Generators 52173b1 [1,-1,1,-216650,-38759336] 2 [-268:139:1] 52173b2 [1,-1,1,-220835,-37180754] 2 [-278:1772:1]
52173c (4 curves)	0	3- 11+ 17+ 31+	1 3- -2 -4 11+  2 17+  4
Curve Equation t 52173c1 [1,-1,0,-3168,-75141] 2 52173c2 [1,-1,0,-52173,-4573800] 4 52173c3 [1,-1,0,-53658,-4298481] 2 52173c4 [1,-1,0,-834768,-293351355] 2
52173d (1 curve)	0	3- 11+ 17+ 31+	1 3- -4 -2 11+  7 17+ -1
Curve Equation t 52173d1 [1,-1,0,-7539,256094] 1
52173e (1 curve)	0	3- 11+ 17+ 31+	-2 3-  0 -1 11+  2 17+ -4
Curve Equation t 52173e1 [0,0,1,-1695,-26838] 1
52173f (2 curves)	1	3- 11+ 17+ 31-	1 3-  0  2 11+  0 17+  8
Curve Equation t Generators 52173f1 [1,-1,0,20538,738463] 2 [-21705698:-3305478959:4173281] 52173f2 [1,-1,0,-99747,6536200] 2 [-3316232:-42912620:12167]
52173g (1 curve)	1	3- 11+ 17- 31+	1 3-  1 -4 11+ -1 17- -3
Curve Equation t Generators 52173g1 [1,-1,0,-1404,11421] 1 [36:63:1]
52173h (1 curve)	2	3- 11+ 17- 31-	0 3-  2 -3 11+ -6 17- -2
Curve Equation t Generators 52173h1 [0,0,1,-3954,470754] 1 [-66:666:1]&[-4:697:1]
52173i (2 curves)	0	3- 11+ 17- 31-	1 3-  4  0 11+  6 17-  6
Curve Equation t 52173i1 [1,-1,0,-5895,175648] 2 52173i2 [1,-1,0,-5130,222313] 2
52173j (1 curve)	2	3- 11+ 17- 31-	-1 3- -3  0 11+ -1 17-  1
Curve Equation t Generators 52173j1 [1,-1,1,-1094,13142] 1 [-234:1229:8]&[-6:142:1]
52173k (1 curve)	0	3- 11+ 17- 31-	2 3-  4 -1 11+ -4 17-  0
Curve Equation t 52173k1 [0,0,1,-242103,-47726469] 1
52173l (1 curve)	2	3- 11+ 17- 31-	-2 3-  0 -1 11+  0 17- -4
Curve Equation t Generators 52173l1 [0,0,1,-1065,31108] 1 [-41:76:1]&[13:-140:1]
52173m (2 curves)	1	3- 11- 17+ 31+	1 3-  0  2 11- -4 17+ -4
Curve Equation t Generators 52173m1 [1,-1,0,-5157,60264] 2 [-210:3471:8] 52173m2 [1,-1,0,18558,444447] 2 [782:13887:8]
52173n (1 curve)	0	3- 11- 17+ 31-	0 3-  4 -3 11-  6 17+ -2
Curve Equation t 52173n1 [0,0,1,-48,81] 1
52173o (1 curve)	0	3- 11- 17+ 31-	1 3-  0  2 11- -1 17+ -5
Curve Equation t 52173o1 [1,-1,0,-117,-986] 1
52173p (2 curves)	0	3- 11- 17- 31+	1 3-  4  2 11- -4 17-  0
Curve Equation t 52173p1 [1,-1,0,-11880,515403] 2 52173p2 [1,-1,0,-191565,32319648] 2
52173q (2 curves)	1	3- 11- 17- 31-	-1 3- -2  2 11- -4 17-  6
Curve Equation t Generators 52173q1 [1,-1,1,-87521,7472432] 2 [-290:3043:1] 52173q2 [1,-1,1,-490676,-126052504] 2 [-443:2278:1]

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

Part of Computational Number Theory
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