Cremona's table of elliptic curves

37842 = 2 · 3 · 7 · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
37842a (1 curve)	1	2+ 3+ 7+ 17+ 53+	2+ 3+  3 7+  2  4 17+  0
Curve Equation t Generators 37842a1 [1,1,0,-1031,-13323] 1 [5030:11389:125]
37842b (2 curves)	0	2+ 3+ 7+ 17- 53+	2+ 3+  2 7+  2  0 17-  4
Curve Equation t 37842b1 [1,1,0,337426,66528180] 2 37842b2 [1,1,0,-1833454,611419060] 2
37842c (2 curves)	1	2+ 3+ 7+ 17- 53-	2+ 3+ -2 7+ -6  6 17- -4
Curve Equation t Generators 37842c1 [1,1,0,-21696,-700416] 2 [-75:753:1] 37842c2 [1,1,0,-157376,23477760] 2 [437:5978:1]
37842d (2 curves)	2	2+ 3+ 7- 17+ 53+	2+ 3+ -2 7- -2 -4 17+ -8
Curve Equation t Generators 37842d1 [1,1,0,-196,3580] 2 [-2:-62:1]&[-11:73:1] 37842d2 [1,1,0,-4966,132370] 2 [-642:1511:8]&[-47:538:1]
37842e (1 curve)	1	2+ 3+ 7- 17- 53+	2+ 3+  1 7-  2  0 17-  4
Curve Equation t Generators 37842e1 [1,1,0,98,52] 1 [12:50:1]
37842f (2 curves)	1	2+ 3+ 7- 17- 53+	2+ 3+  2 7-  0  2 17-  2
Curve Equation t Generators 37842f1 [1,1,0,-514,-8540] 2 [37:139:1] 37842f2 [1,1,0,-10054,-392048] 2 [-59:40:1]
37842g (2 curves)	1	2+ 3+ 7- 17- 53+	2+ 3+ -2 7-  2  0 17- -2
Curve Equation t Generators 37842g1 [1,1,0,9977279,-10900758155] 2 [1003:10303:1] 37842g2 [1,1,0,-54742081,-101028938891] 2 [8215:-65333:1]
37842h (4 curves)	1	2+ 3+ 7- 17- 53+	2+ 3+ -2 7- -4 -6 17-  4
Curve Equation t Generators 37842h1 [1,1,0,-19336,1026880] 2 [81:-23:1] 37842h2 [1,1,0,-19656,990720] 4 [47:393:1] 37842h3 [1,1,0,16384,4255944] 2 [-19:1994:1] 37842h4 [1,1,0,-60816,-4582344] 2 [-121:1072:1]
37842i (1 curve)	0	2+ 3+ 7- 17- 53-	2+ 3+ -4 7-  1  3 17-  4
Curve Equation t 37842i1 [1,1,0,-8585377,-9720598475] 1
37842j (1 curve)	1	2+ 3- 7- 17+ 53+	2+ 3- -1 7- -2  4 17+  8
Curve Equation t Generators 37842j1 [1,0,1,11662906,43040476568] 1 [85941:25172005:1]
37842k (1 curve)	0	2+ 3- 7- 17- 53+	2+ 3-  0 7-  3  1 17-  4
Curve Equation t 37842k1 [1,0,1,-396,-4790] 1
37842l (2 curves)	0	2+ 3- 7- 17- 53+	2+ 3-  2 7-  0 -6 17- -2
Curve Equation t 37842l1 [1,0,1,-10668589110,424369321254856] 2 37842l2 [1,0,1,-170723229750,27151061477597128] 2
37842m (1 curve)	0	2- 3+ 7+ 17+ 53+	2- 3+  0 7+  1 -1 17+  4
Curve Equation t 37842m1 [1,1,1,-18,33] 1
37842n (1 curve)	0	2- 3+ 7+ 17- 53-	2- 3+  1 7+ -6  0 17- -4
Curve Equation t 37842n1 [1,1,1,-17493340,-28168882051] 1
37842o (4 curves)	0	2- 3+ 7- 17+ 53-	2- 3+  2 7-  4 -6 17+  4
Curve Equation t 37842o1 [1,1,1,1226158,986223071] 2 37842o2 [1,1,1,-10570322,11131195871] 4 37842o3 [1,1,1,-48302162,-118696519201] 2 37842o4 [1,1,1,-161582162,790473099743] 2
37842p (4 curves)	0	2- 3+ 7- 17+ 53-	2- 3+ -2 7-  0  6 17+  4
Curve Equation t 37842p1 [1,1,1,696,-3639] 4 37842p2 [1,1,1,-3224,-34999] 4 37842p3 [1,1,1,-25484,1532105] 2 37842p4 [1,1,1,-43684,-3530743] 2
37842q (2 curves)	2	2- 3+ 7- 17- 53+	2- 3+ -2 7- -4  0 17- -8
Curve Equation t Generators 37842q1 [1,1,1,9541,1183817] 2 [-45:-794:1]&[51:-1370:1] 37842q2 [1,1,1,-126139,15674441] 2 [-353:4222:1]&[361:-4346:1]
37842r (1 curve)	0	2- 3+ 7- 17- 53+	2- 3+  4 7- -5  1 17-  4
Curve Equation t 37842r1 [1,1,1,-2261,40451] 1
37842s (4 curves)	0	2- 3- 7+ 17+ 53-	2- 3-  2 7+  0 -2 17+  4
Curve Equation t 37842s1 [1,0,0,-11767,-466903] 2 37842s2 [1,0,0,-34887,1923705] 4 37842s3 [1,0,0,81733,12069645] 2 37842s4 [1,0,0,-521427,144869157] 2
37842t (2 curves)	0	2- 3- 7+ 17- 53+	2- 3-  4 7+  4 -6 17-  4
Curve Equation t 37842t1 [1,0,0,-408216,-75920832] 2 37842t2 [1,0,0,984424,-481179072] 2
37842u (4 curves)	0	2- 3- 7- 17+ 53+	2- 3-  0 7-  0  2 17+ -4
Curve Equation t 37842u1 [1,0,0,-9863,374409] 6 37842u2 [1,0,0,-4423,786761] 6 37842u3 [1,0,0,-58583,-5200167] 2 37842u4 [1,0,0,39677,-20862811] 2

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