Cremona's table of elliptic curves

31280 = 2⁴ · 5 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
31280a (4 curves)	1	2+ 5+ 17+ 23+	2+  0 5+  0  4 -2 17+  0
Curve Equation t Generators 31280a1 [0,0,0,97,-98] 2 [219:944:27] 31280a2 [0,0,0,-403,-798] 4 [-11:48:1] 31280a3 [0,0,0,-3803,89642] 2 [74:462:1] 31280a4 [0,0,0,-5003,-136038] 2 [-318:39:8]
31280b (1 curve)	1	2+ 5+ 17+ 23+	2+  0 5+  0 -6  1 17+ -3
Curve Equation t Generators 31280b1 [0,0,0,37,42] 1 [-1:2:1]
31280c (1 curve)	1	2+ 5+ 17+ 23+	2+ -3 5+  2  6  1 17+  0
Curve Equation t Generators 31280c1 [0,0,0,12917,44593] 1 [-24:4913:27]
31280d (1 curve)	0	2+ 5+ 17- 23+	2+  1 5+ -2  6 -3 17- -4
Curve Equation t 31280d1 [0,1,0,-8296,-293621] 1
31280e (1 curve)	0	2+ 5+ 17- 23+	2+  3 5+ -4  3  4 17-  6
Curve Equation t 31280e1 [0,0,0,-58,743] 1
31280f (1 curve)	1	2+ 5- 17- 23+	2+  1 5-  2 -5  4 17- -8
Curve Equation t Generators 31280f1 [0,1,0,0,68] 1 [-2:8:1]
31280g (1 curve)	1	2+ 5- 17- 23+	2+  1 5- -2 -1  0 17-  4
Curve Equation t Generators 31280g1 [0,1,0,11640,-87100] 1 [310:5780:1]
31280h (1 curve)	1	2+ 5- 17- 23+	2+  1 5- -2  2  5 17- -8
Curve Equation t Generators 31280h1 [0,1,0,220,-1225] 1 [5:5:1]
31280i (1 curve)	1	2+ 5- 17- 23+	2+ -2 5- -2  2 -3 17-  7
Curve Equation t Generators 31280i1 [0,1,0,-2160,-64652] 1 [468:10082:1]
31280j (1 curve)	0	2+ 5- 17- 23-	2+  1 5-  0  1  4 17- -2
Curve Equation t 31280j1 [0,1,0,-6375,-199852] 1
31280k (1 curve)	2	2- 5+ 17+ 23+	2-  1 5+ -1 -4 -4 17+ -1
Curve Equation t Generators 31280k1 [0,1,0,-1376,-24460] 1 [122:1280:1]&[47:130:1]
31280l (1 curve)	0	2- 5+ 17+ 23+	2- -1 5+  3  0  4 17+  1
Curve Equation t 31280l1 [0,-1,0,-1632176,-802063424] 1
31280m (1 curve)	1	2- 5+ 17+ 23-	2- -1 5+  2 -2  1 17+ -7
Curve Equation t Generators 31280m1 [0,-1,0,-2216,-45584] 1 [60:184:1]
31280n (1 curve)	1	2- 5+ 17- 23+	2-  0 5+  4 -2  3 17- -3
Curve Equation t Generators 31280n1 [0,0,0,-4773203,-4015906798] 1 [38287469:6474450238:1331]
31280o (2 curves)	1	2- 5+ 17- 23+	2- -2 5+  0  4  2 17- -2
Curve Equation t Generators 31280o1 [0,1,0,-136,3060] 2 [7:50:1] 31280o2 [0,1,0,-4136,100660] 2 [12:230:1]
31280p (1 curve)	1	2- 5+ 17- 23+	2- -3 5+ -2 -5  6 17-  0
Curve Equation t Generators 31280p1 [0,0,0,1592,-857] 1 [33:296:1]
31280q (1 curve)	2	2- 5+ 17- 23-	2-  1 5+ -4  1 -4 17- -6
Curve Equation t Generators 31280q1 [0,1,0,-74056,7784884] 1 [-258:3128:1]&[150:272:1]
31280r (2 curves)	2	2- 5+ 17- 23-	2- -1 5+  1  0 -4 17- -5
Curve Equation t Generators 31280r1 [0,-1,0,1104,3520] 1 [18:-170:1]&[24:208:1] 31280r2 [0,-1,0,-17936,963136] 1 [80:184:1]&[66:-250:1]
31280s (2 curves)	2	2- 5+ 17- 23-	2- -1 5+ -2 -3 -4 17-  4
Curve Equation t Generators 31280s1 [0,-1,0,-136,-4624] 1 [20:16:1]&[34:170:1] 31280s2 [0,-1,0,1224,123760] 1 [-14:322:1]&[124:1472:1]
31280t (1 curve)	1	2- 5- 17+ 23+	2-  1 5-  4  4 -5 17+  2
Curve Equation t Generators 31280t1 [0,1,0,-550,-11177] 1 [378:2125:8]
31280u (2 curves)	1	2- 5- 17+ 23+	2-  2 5- -2  6 -1 17+ -5
Curve Equation t Generators 31280u1 [0,-1,0,1080,44284400] 1 [-310:3750:1] 31280u2 [0,-1,0,-9428920,11147948400] 1 [-1230:144510:1]
31280v (2 curves)	0	2- 5- 17+ 23-	2-  0 5-  4  2  2 17+ -8
Curve Equation t 31280v1 [0,0,0,-532,531] 2 31280v2 [0,0,0,2113,4234] 2
31280w (1 curve)	0	2- 5- 17+ 23-	2-  1 5-  0 -1 -4 17+ -2
Curve Equation t 31280w1 [0,1,0,-960,-11980] 1
31280x (1 curve)	0	2- 5- 17+ 23-	2- -1 5-  2 -1 -4 17+  8
Curve Equation t 31280x1 [0,-1,0,-122671200,-522911360000] 1
31280y (1 curve)	0	2- 5- 17+ 23-	2- -1 5-  2  6  3 17+  1
Curve Equation t 31280y1 [0,-1,0,640,28672] 1
31280z (1 curve)	2	2- 5- 17+ 23-	2- -1 5- -2 -2 -3 17+ -4
Curve Equation t Generators 31280z1 [0,-1,0,-50,175] 1 [-3:17:1]&[5:5:1]
31280ba (2 curves)	0	2- 5- 17+ 23-	2- -1 5- -2  3  2 17+  4
Curve Equation t 31280ba1 [0,-1,0,-125,-500] 1 31280ba2 [0,-1,0,275,-2920] 1
31280bb (1 curve)	2	2- 5- 17+ 23-	2- -1 5- -2 -5  0 17+ -4
Curve Equation t Generators 31280bb1 [0,-1,0,-845800,300221552] 1 [394:-5290:1]&[164:12880:1]
31280bc (1 curve)	0	2- 5- 17+ 23-	2-  2 5-  2  2  5 17+  5
Curve Equation t 31280bc1 [0,-1,0,-560,-6208] 1
31280bd (1 curve)	0	2- 5- 17+ 23-	2-  3 5- -2 -1 -4 17+  4
Curve Equation t 31280bd1 [0,0,0,5333,1386074] 1
31280be (1 curve)	2	2- 5- 17+ 23-	2- -3 5- -4 -1  0 17+  2
Curve Equation t Generators 31280be1 [0,0,0,-547,5986] 1 [-23:80:1]&[17:40:1]
31280bf (1 curve)	0	2- 5- 17- 23+	2-  2 5-  2  2  1 17- -1
Curve Equation t 31280bf1 [0,-1,0,21280,-1327360] 1
31280bg (1 curve)	1	2- 5- 17- 23-	2-  1 5-  2 -2  1 17-  1
Curve Equation t Generators 31280bg1 [0,1,0,-29160,-1927372] 1 [1582:62560:1]
31280bh (1 curve)	1	2- 5- 17- 23-	2- -1 5- -2 -3 -2 17- -8
Curve Equation t Generators 31280bh1 [0,-1,0,-5,-8] 1 [8:20:1]
31280bi (1 curve)	1	2- 5- 17- 23-	2- -2 5-  2 -2 -5 17-  1
Curve Equation t Generators 31280bi1 [0,1,0,2920,55828] 1 [76:850:1]

Data from Elliptic Curve Data by J. E. Cremona.
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