Cremona's table of elliptic curves

1050 = 2 · 3 · 5² · 7

Class	r	Atkin-Lehner	Eigenvalues
1050a (8 curves)	1	2+ 3+ 5+ 7+	2+ 3+ 5+ 7+  0 -2  6 -4
Curve Equation t Generators 1050a1 [1,1,0,-1025,-4875] 2 [-5:15:1] 1050a2 [1,1,0,-9025,323125] 4 [15:430:1] 1050a3 [1,1,0,-67025,-6706875] 2 [334:2715:1] 1050a4 [1,1,0,-144025,20978125] 2 [225:50:1] 1050a5 [1,1,0,-2025,820125] 2 [55:910:1] 1050a6 [1,1,0,-67525,-6602375] 4 [-155:490:1] 1050a7 [1,1,0,-161275,15616375] 2 [1095:33415:1] 1050a8 [1,1,0,18225,-22123125] 2 [531:11466:1]
1050b (1 curve)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  2 -1  1  4
Curve Equation t 1050b1 [1,1,0,-30,-90] 1
1050c (8 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7- -4  2 -2  4
Curve Equation t 1050c1 [1,1,0,5250,112500] 2 1050c2 [1,1,0,-26750,976500] 4 1050c3 [1,1,0,-188750,-30937500] 4 1050c4 [1,1,0,-376750,88826500] 2 1050c5 [1,1,0,-3001250,-2002500000] 4 1050c6 [1,1,0,31750,-98631000] 2 1050c7 [1,1,0,-48020000,-128100018750] 2 1050c8 [1,1,0,-2982500,-2028731250] 2
1050d (2 curves)	0	2+ 3+ 5- 7+	2+ 3+ 5- 7+  2  1 -3  0
Curve Equation t 1050d1 [1,1,0,-4375,-113225] 1 1050d2 [1,1,0,550,-343500] 1
1050e (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  2 -6 -4 -6
Curve Equation t Generators 1050e1 [1,1,0,-80,0] 2 [-5:20:1] 1050e2 [1,1,0,320,400] 2 [4:40:1]
1050f (1 curve)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+ -2 -7  7  8
Curve Equation t 1050f1 [1,0,1,-6296,-192922] 1
1050g (6 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  4  2 -2 -4
Curve Equation t 1050g1 [1,0,1,249,-2102] 2 1050g2 [1,0,1,-1751,-22102] 4 1050g3 [1,0,1,-26251,-1639102] 4 1050g4 [1,0,1,-9251,322898] 2 1050g5 [1,0,1,-420001,-104801602] 2 1050g6 [1,0,1,-24501,-1866602] 2
1050h (6 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -4 -6 -2 -4
Curve Equation t Generators 1050h1 [1,0,1,-101,848] 2 [3:22:1] 1050h2 [1,0,1,-2101,36848] 4 [7:146:1] 1050h3 [1,0,1,-2601,17848] 4 [182:-2454:1] 1050h4 [1,0,1,-33601,2367848] 2 [106:-49:1] 1050h5 [1,0,1,-22851,-1318652] 2 [-82:114:1] 1050h6 [1,0,1,9649,140348] 2 [42:766:1]
1050i (2 curves)	1	2+ 3- 5- 7+	2+ 3- 5- 7+ -2 -2 -8 -2
Curve Equation t Generators 1050i1 [1,0,1,-171,838] 2 [2:21:1] 1050i2 [1,0,1,-71,1838] 2 [33:-206:1]
1050j (2 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  6 -1  3 -4
Curve Equation t 1050j1 [1,0,1,24,-2] 3 1050j2 [1,0,1,-351,-2702] 1
1050k (8 curves)	0	2- 3+ 5+ 7+	2- 3+ 5+ 7+  0 -2  6  8
Curve Equation t 1050k1 [1,1,1,-12438,528531] 4 1050k2 [1,1,1,-14438,344531] 4 1050k3 [1,1,1,-36813,-2081469] 4 1050k4 [1,1,1,-108938,-13641469] 2 1050k5 [1,1,1,48062,2594531] 2 1050k6 [1,1,1,-548813,-156705469] 4 1050k7 [1,1,1,-8780813,-10018641469] 2 1050k8 [1,1,1,-508813,-180465469] 2
1050l (2 curves)	0	2- 3+ 5+ 7+	2- 3+ 5+ 7+  6  1 -3 -4
Curve Equation t 1050l1 [1,1,1,612,-219] 1 1050l2 [1,1,1,-8763,-337719] 1
1050m (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7- -2  2  8 -2
Curve Equation t 1050m1 [1,1,1,-4263,104781] 2 1050m2 [1,1,1,-1763,229781] 2
1050n (1 curve)	0	2- 3+ 5- 7-	2- 3+ 5- 7- -2  7 -7  8
Curve Equation t 1050n1 [1,1,1,-157388,-24115219] 1
1050o (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  2 -1  3  0
Curve Equation t 1050o1 [1,0,0,22,-2748] 5 1050o2 [1,0,0,-109388,-13934358] 1
1050p (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -4  2  6  0
Curve Equation t 1050p1 [1,0,0,-88,-208] 2 1050p2 [1,0,0,-588,5292] 4 1050p3 [1,0,0,-9338,346542] 2 1050p4 [1,0,0,162,18042] 2
1050q (1 curve)	0	2- 3- 5- 7+	2- 3- 5- 7+  2  1 -1  4
Curve Equation t 1050q1 [1,0,0,-763,-9733] 1
1050r (2 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+  2  6  4 -6
Curve Equation t 1050r1 [1,0,0,-2013,4017] 2 1050r2 [1,0,0,7987,34017] 2

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