Cremona's table of elliptic curves

42735 = 3 · 5 · 7 · 11 · 37

Class	r	Atkin-Lehner	Eigenvalues
42735a (1 curve)	0	3+ 5+ 7+ 11+ 37-	2 3+ 5+ 7+ 11+ -2 -3  6
Curve Equation t 42735a1 [0,-1,1,8288191214,1772457439311267] 1
42735b (1 curve)	1	3+ 5+ 7- 11+ 37-	-2 3+ 5+ 7- 11+ -1 -2  0
Curve Equation t Generators 42735b1 [0,-1,1,-7653196,8151855402] 1 [1530:4658:1]
42735c (4 curves)	2	3+ 5+ 7- 11- 37-	-1 3+ 5+ 7- 11- -6 -6 -4
Curve Equation t Generators 42735c1 [1,1,1,959,6998] 2 [2:93:1]&[4:102:1] 42735c2 [1,1,1,-4486,54914] 4 [-66:295:1]&[-52:414:1] 42735c3 [1,1,1,-35011,-2496976] 2 [-107:249:1]&[1934:13431:8] 42735c4 [1,1,1,-61081,5782328] 2 [154:-318:1]&[151:99:1]
42735d (1 curve)	0	3+ 5+ 7- 11- 37-	2 3+ 5+ 7- 11-  6 -3  2
Curve Equation t 42735d1 [0,-1,1,14,-783] 1
42735e (4 curves)	1	3+ 5- 7- 11- 37-	1 3+ 5- 7- 11- -2  6  4
Curve Equation t Generators 42735e1 [1,1,0,-6232,-191981] 2 [530:11807:1] 42735e2 [1,1,0,-6237,-191664] 4 [-354:267:8] 42735e3 [1,1,0,-3542,-354981] 2 [170:1913:1] 42735e4 [1,1,0,-9012,-7959] 4 [830:3047:8]
42735f (1 curve)	0	3- 5+ 7+ 11+ 37+	-2 3- 5+ 7+ 11+  4 -1 -4
Curve Equation t 42735f1 [0,1,1,-219966,-40399774] 1
42735g (4 curves)	1	3- 5+ 7+ 11+ 37-	-1 3- 5+ 7+ 11+  2  2  4
Curve Equation t Generators 42735g1 [1,0,0,-1161,15120] 2 [21:0:1] 42735g2 [1,0,0,-1406,8211] 4 [-29:172:1] 42735g3 [1,0,0,5069,63896] 2 [8:320:1] 42735g4 [1,0,0,-11801,-488670] 2 [163:1306:1]
42735h (2 curves)	1	3- 5+ 7+ 11- 37+	1 3- 5+ 7+ 11-  4  4 -4
Curve Equation t Generators 42735h1 [1,0,1,-446219,147558161] 2 [-3698:129621:8] 42735h2 [1,0,1,-7693514,8212348037] 2 [1581:364:1]
42735i (1 curve)	1	3- 5+ 7+ 11- 37+	-2 3- 5+ 7+ 11-  1 -2 -4
Curve Equation t Generators 42735i1 [0,1,1,114274,-248732704] 1 [1189:-39617:1]
42735j (2 curves)	1	3- 5+ 7- 11+ 37+	-1 3- 5+ 7- 11+  0  0 -4
Curve Equation t Generators 42735j1 [1,0,0,-6,171] 2 [3:12:1] 42735j2 [1,0,0,-501,4230] 2 [3:51:1]
42735k (2 curves)	0	3- 5+ 7- 11- 37+	1 3- 5+ 7- 11- -2  0 -8
Curve Equation t 42735k1 [1,0,1,-181154,-36206569] 2 42735k2 [1,0,1,-3071779,-2072362819] 2
42735l (1 curve)	1	3- 5- 7+ 11+ 37+	-2 3- 5- 7+ 11+ -4 -3  4
Curve Equation t Generators 42735l1 [0,1,1,-1020,12206] 1 [15:22:1]
42735m (6 curves)	0	3- 5- 7+ 11+ 37-	-1 3- 5- 7+ 11+  6  2 -4
Curve Equation t 42735m1 [1,0,0,-303125,360026232] 4 42735m2 [1,0,0,-9673930,11535648275] 8 42735m3 [1,0,0,-14663935,-1640958928] 4 42735m4 [1,0,0,-154616805,739989549450] 4 42735m5 [1,0,0,58467860,-13093398025] 2 42735m6 [1,0,0,-167635810,-833471420803] 2
42735n (1 curve)	0	3- 5- 7+ 11+ 37-	2 3- 5- 7+ 11+ -5  6 -8
Curve Equation t 42735n1 [0,1,1,100,509] 1
42735o (6 curves)	1	3- 5- 7- 11+ 37-	-1 3- 5- 7- 11+ -2  2  4
Curve Equation t Generators 42735o1 [1,0,0,-4613409455,120640146368352] 4 [-39003759:10691712782:729] 42735o2 [1,0,0,-73819845460,7719825169322975] 8 [1907195:2607522815:1] 42735o3 [1,0,0,-73825139665,7718662495197992] 4 [-285751:74181263:1] 42735o4 [1,0,0,-1181117527335,494069106138287850] 4 [2006910:2490357690:1] 42735o5 [1,0,0,-64182581320,9808507664891525] 2 [7600540:20938777855:1] 42735o6 [1,0,0,-83552405290,5554406202682367] 2 [5541173046:-15268842720073:729]
42735p (2 curves)	1	3- 5- 7- 11- 37+	1 3- 5- 7- 11-  4  0  4
Curve Equation t Generators 42735p1 [1,0,1,377,-7147] 2 [302:1825:8] 42735p2 [1,0,1,-4078,-89119] 2 [-35:122:1]
42735q (2 curves)	1	3- 5- 7- 11- 37+	1 3- 5- 7- 11- -6 -4  4
Curve Equation t Generators 42735q1 [1,0,1,2397,-275020727] 2 [1049:29175:1] 42735q2 [1,0,1,-6329228,-6029201527] 2 [4419:-230900:1]
42735r (2 curves)	1	3- 5- 7- 11- 37+	-1 3- 5- 7- 11- -2  4 -4
Curve Equation t Generators 42735r1 [1,0,0,-265,2600] 2 [5:-40:1] 42735r2 [1,0,0,-4890,131175] 2 [45:-75:1]
42735s (1 curve)	1	3- 5- 7- 11- 37+	-2 3- 5- 7- 11-  0  5  4
Curve Equation t Generators 42735s1 [0,1,1,52220,-3285494] 1 [115:2062:1]

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