Cremona's table of elliptic curves

37518 = 2 · 3 · 13² · 37

Class	r	Atkin-Lehner	Eigenvalues
37518a (1 curve)	1	2+ 3+ 13+ 37+	2+ 3+ -1 -2  5 13+  2  4
Curve Equation t Generators 37518a1 [1,1,0,-111543,126729621] 1 [915:27681:1]
37518b (2 curves)	1	2+ 3+ 13+ 37+	2+ 3+  2 -2  0 13+  0  8
Curve Equation t Generators 37518b1 [1,1,0,-12509,-308355] 2 [-70:515:1] 37518b2 [1,1,0,-174749,-28181187] 2 [-239:177:1]
37518c (1 curve)	1	2+ 3+ 13+ 37+	2+ 3+  3  2  3 13+ -2  0
Curve Equation t Generators 37518c1 [1,1,0,-276,-2088] 1 [2292:10923:64]
37518d (1 curve)	0	2+ 3+ 13+ 37-	2+ 3+  0 -3 -1 13+ -3 -3
Curve Equation t 37518d1 [1,1,0,2870,379306] 1
37518e (1 curve)	0	2+ 3+ 13+ 37-	2+ 3+  3  4  3 13+  4  6
Curve Equation t 37518e1 [1,1,0,-197226,33934932] 1
37518f (2 curves)	0	2+ 3- 13+ 37+	2+ 3-  0  1 -3 13+ -3  7
Curve Equation t 37518f1 [1,0,1,334,-9124] 1 37518f2 [1,0,1,-25016,-1526068] 1
37518g (1 curve)	0	2+ 3- 13+ 37+	2+ 3- -1  2  5 13+ -2  0
Curve Equation t 37518g1 [1,0,1,-12679,-560740] 1
37518h (2 curves)	1	2+ 3- 13+ 37-	2+ 3- -3  2  3 13+ -6  2
Curve Equation t Generators 37518h1 [1,0,1,165,-1688] 3 [10:26:1] 37518h2 [1,0,1,-7440,-248090] 1 [118:662:1]
37518i (2 curves)	1	2+ 3- 13- 37+	2+ 3-  2 -4  0 13- -4  4
Curve Equation t Generators 37518i1 [1,0,1,-19270,731096] 2 [-80:1367:1] 37518i2 [1,0,1,-282910,57888248] 2 [77880:-1428541:125]
37518j (4 curves)	0	2+ 3- 13- 37-	2+ 3- -2 -2  0 13-  2 -4
Curve Equation t 37518j1 [1,0,1,-345950102,-2476658843800] 2 37518j2 [1,0,1,-5535176222,-158506309819960] 2 37518j3 [1,0,1,-3389904587,74986740186230] 2 37518j4 [1,0,1,-6629512907,-91406022345610] 2
37518k (4 curves)	0	2- 3+ 13+ 37+	2- 3+ -2  0  4 13+  6 -8
Curve Equation t 37518k1 [1,1,1,2616,-13239] 2 37518k2 [1,1,1,-10904,-121399] 4 37518k3 [1,1,1,-102164,12435977] 2 37518k4 [1,1,1,-135964,-19330615] 2
37518l (1 curve)	2	2- 3+ 13+ 37+	2- 3+ -3 -4 -3 13+  4 -6
Curve Equation t Generators 37518l1 [1,1,1,-1167,14997] 1 [-5:-142:1]&[-17:182:1]
37518m (1 curve)	0	2- 3+ 13+ 37+	2- 3+  4 -3 -5 13+  3  7
Curve Equation t 37518m1 [1,1,1,-30811661,65817214211] 1
37518n (1 curve)	1	2- 3+ 13+ 37-	2- 3+  1  2 -5 13+  2 -4
Curve Equation t Generators 37518n1 [1,1,1,-660,57429] 1 [43:311:1]
37518o (2 curves)	1	2- 3+ 13+ 37-	2- 3+ -2 -4 -2 13+ -4 -4
Curve Equation t Generators 37518o1 [1,1,1,-2317754,-1359119689] 2 [-7034:3661:8] 37518o2 [1,1,1,-2307614,-1371587833] 2 [57862:-4831387:8]
37518p (1 curve)	1	2- 3+ 13+ 37-	2- 3+ -3 -2 -3 13+ -2  0
Curve Equation t Generators 37518p1 [1,1,1,-46732,-4353835] 1 [911:26193:1]
37518q (2 curves)	1	2- 3- 13+ 37+	2- 3-  3 -2 -3 13+ -6 -2
Curve Equation t Generators 37518q1 [1,0,0,27966,-3735954] 1 [184980:9868629:64] 37518q2 [1,0,0,-1257279,-543795903] 1 [21330746546544932:-1078945051502814685:7135551731008]
37518r (1 curve)	0	2- 3- 13+ 37-	2- 3-  1 -2 -5 13+ -2  0
Curve Equation t 37518r1 [1,0,0,-75,-261] 1
37518s (1 curve)	0	2- 3- 13+ 37-	2- 3- -4  1  1 13+  3  5
Curve Equation t 37518s1 [1,0,0,250,-100764] 1
37518t (4 curves)	0	2- 3- 13- 37+	2- 3-  2  2  0 13-  2  4
Curve Equation t 37518t1 [1,0,0,-2047042,-1127448700] 2 37518t2 [1,0,0,-32752522,-72149223940] 2 37518t3 [1,0,0,-20058607,34129881785] 2 37518t4 [1,0,0,-39227887,-41607943495] 2
37518u (2 curves)	1	2- 3- 13- 37-	2- 3- -2  4  0 13- -4 -4
Curve Equation t Generators 37518u1 [1,0,0,-114,324] 2 [0:18:1] 37518u2 [1,0,0,-1674,26220] 2 [26:8:1]

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

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