Cremona's table of elliptic curves

18837 = 3² · 7 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
18837a (2 curves)	2	3- 7+ 13+ 23+	-1 3- -2 7+ -2 13+  0 -4
Curve Equation t Generators 18837a1 [1,-1,1,94,1640] 2 [0:40:1]&[4:43:1] 18837a2 [1,-1,1,-1661,24806] 2 [-33:223:1]&[-18:229:1]
18837b (1 curve)	0	3- 7+ 13+ 23+	2 3-  0 7+  3 13+  5 -6
Curve Equation t 18837b1 [0,0,1,-75,175] 1
18837c (1 curve)	0	3- 7+ 13+ 23+	2 3- -3 7+ -3 13+ -4  5
Curve Equation t 18837c1 [0,0,1,-13779,872417] 1
18837d (1 curve)	1	3- 7+ 13- 23+	0 3- -1 7+ -5 13-  6 -1
Curve Equation t Generators 18837d1 [0,0,1,-48,-203] 1 [11:24:1]
18837e (1 curve)	0	3- 7+ 13- 23-	0 3-  4 7+  5 13- -3 -4
Curve Equation t 18837e1 [0,0,1,-32178,-1984514] 1
18837f (6 curves)	0	3- 7+ 13- 23-	1 3-  2 7+  4 13- -2  4
Curve Equation t 18837f1 [1,-1,0,16029,-3640680] 2 18837f2 [1,-1,0,-279216,-53064693] 4 18837f3 [1,-1,0,-4387131,-3535755030] 2 18837f4 [1,-1,0,-895221,262945872] 4 18837f5 [1,-1,0,-13536486,19171750059] 2 18837f6 [1,-1,0,1889964,1571425785] 2
18837g (1 curve)	0	3- 7+ 13- 23-	2 3-  0 7+ -3 13-  0 -1
Curve Equation t 18837g1 [0,0,1,-20775,-1156995] 1
18837h (1 curve)	1	3- 7- 13+ 23+	2 3-  0 7-  5 13+ -1 -2
Curve Equation t Generators 18837h1 [0,0,1,-1848045,141004363] 1 [-9038:224409:8]
18837i (1 curve)	1	3- 7- 13+ 23+	2 3-  3 7- -1 13+ -4 -5
Curve Equation t Generators 18837i1 [0,0,1,-381,-2867] 1 [352834:74098699:8]
18837j (2 curves)	0	3- 7- 13+ 23-	1 3-  0 7-  4 13+ -8  4
Curve Equation t 18837j1 [1,-1,0,153,688] 2 18837j2 [1,-1,0,-882,7105] 2
18837k (1 curve)	0	3- 7- 13- 23+	2 3-  4 7-  5 13-  1 -6
Curve Equation t 18837k1 [0,0,1,-84423,-8099879] 1
18837l (1 curve)	0	3- 7- 13- 23+	-2 3-  0 7-  5 13-  5 -6
Curve Equation t 18837l1 [0,0,1,-502815,10088928] 1
18837m (1 curve)	2	3- 7- 13- 23+	-2 3- -2 7- -3 13- -1 -4
Curve Equation t Generators 18837m1 [0,0,1,-1641,25420] 1 [-29:220:1]&[-1:164:1]
18837n (2 curves)	1	3- 7- 13- 23-	0 3-  0 7-  3 13-  3  8
Curve Equation t Generators 18837n1 [0,0,1,-300,-1845] 1 [23:58:1] 18837n2 [0,0,1,-4980,134928] 3 [44:31:1]
18837o (1 curve)	1	3- 7- 13- 23-	0 3-  2 7-  3 13-  1 -2
Curve Equation t Generators 18837o1 [0,0,1,-1704,-22901] 1 [-31:11:1]
18837p (1 curve)	1	3- 7- 13- 23-	0 3- -2 7- -3 13-  4 -1
Curve Equation t Generators 18837p1 [0,0,1,114,3307] 1 [1:58:1]
18837q (2 curves)	1	3- 7- 13- 23-	0 3-  3 7- -3 13- -6 -1
Curve Equation t Generators 18837q1 [0,0,1,-393186,-94895406] 1 [1602:58194:1] 18837q2 [0,0,1,-370956,-106098507] 3 [5507805483:200590507638:3442951]
18837r (3 curves)	1	3- 7- 13- 23-	0 3- -3 7-  3 13-  6 -7
Curve Equation t Generators 18837r1 [0,0,1,145896,-22981473] 1 [2133:99963:1] 18837r2 [0,0,1,-1435944,1031018292] 3 [1158:30348:1] 18837r3 [0,0,1,-133466934,593483566707] 3 [6849:25434:1]
18837s (4 curves)	1	3- 7- 13- 23-	-1 3-  2 7-  0 13- -2 -4
Curve Equation t Generators 18837s1 [1,-1,1,-74174,-7756860] 2 [468:7503:1] 18837s2 [1,-1,1,-74219,-7746942] 4 [-154:189:1] 18837s3 [1,-1,1,-102884,-1188390] 2 [-220:3390:1] 18837s4 [1,-1,1,-46274,-13671282] 2 [462:7731:1]
18837t (1 curve)	1	3- 7- 13- 23-	2 3- -1 7-  3 13- -8 -1
Curve Equation t Generators 18837t1 [0,0,1,-3,157] 1 [34:115:8]
18837u (1 curve)	1	3- 7- 13- 23-	2 3- -4 7- -3 13-  4 -7
Curve Equation t Generators 18837u1 [0,0,1,923883,-1248077219] 1 [95474:10459913:8]

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

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