Cremona's table of elliptic curves

8050 = 2 · 5² · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
8050a (1 curve)	1	2+ 5+ 7+ 23+	2+ -1 5+ 7+ -5 -2  5  5
Curve Equation t Generators 8050a1 [1,1,0,-24075,3452125] 1 [1:1851:1]
8050b (2 curves)	1	2+ 5+ 7+ 23+	2+  2 5+ 7+ -2  4  2 -4
Curve Equation t Generators 8050b1 [1,1,0,-228000,40064000] 2 [6105:6860:27] 8050b2 [1,1,0,-628000,-139536000] 2 [-37131315:194427895:59319]
8050c (4 curves)	1	2+ 5+ 7+ 23+	2+  2 5+ 7+ -6  4 -6  8
Curve Equation t Generators 8050c1 [1,1,0,-46025,3765125] 2 [-230:1615:1] 8050c2 [1,1,0,-71025,-809875] 2 [-6585:42230:27] 8050c3 [1,1,0,-264525,-49744375] 2 [-2316100:8729675:6859] 8050c4 [1,1,0,-4170775,-3280213125] 2 [-49594666631325:29074693579850:42035292333]
8050d (2 curves)	1	2+ 5+ 7+ 23+	2+ -2 5+ 7+  6  4  2  4
Curve Equation t Generators 8050d1 [1,0,1,-101,348] 2 [-3:26:1] 8050d2 [1,0,1,-351,-2152] 2 [-8:16:1]
8050e (4 curves)	0	2+ 5+ 7+ 23-	2+  0 5+ 7+  0  6  2 -4
Curve Equation t 8050e1 [1,-1,0,-7442,-122284] 2 8050e2 [1,-1,0,-57442,5227716] 4 8050e3 [1,-1,0,-914942,337080216] 4 8050e4 [1,-1,0,58,15175216] 2
8050f (2 curves)	0	2+ 5+ 7+ 23-	2+ -1 5+ 7+  3 -2 -3  5
Curve Equation t 8050f1 [1,1,0,916335,-376092395] 1 8050f2 [1,1,0,-26053265,-51505561835] 1
8050g (4 curves)	0	2+ 5+ 7+ 23-	2+  2 5+ 7+  0 -2  6 -4
Curve Equation t 8050g1 [1,1,0,-3775,85125] 2 8050g2 [1,1,0,1225,300125] 2 8050g3 [1,1,0,-42275,-3334375] 2 8050g4 [1,1,0,-11025,-8115625] 2
8050h (2 curves)	0	2+ 5+ 7- 23+	2+  0 5+ 7- -2  0 -2  0
Curve Equation t 8050h1 [1,-1,0,-33692,795216] 2 8050h2 [1,-1,0,126308,6075216] 2
8050i (2 curves)	0	2+ 5+ 7- 23+	2+  2 5+ 7- -2  4  6  0
Curve Equation t 8050i1 [1,1,0,-350,500] 2 8050i2 [1,1,0,-4350,108500] 2
8050j (1 curve)	1	2+ 5+ 7- 23-	2+  0 5+ 7-  4  3  1  0
Curve Equation t Generators 8050j1 [1,-1,0,268,33946] 1 [-27:94:1]
8050k (1 curve)	1	2+ 5+ 7- 23-	2+  0 5+ 7- -4 -1 -3  8
Curve Equation t Generators 8050k1 [1,-1,0,23008,316416] 1 [10283:1037683:1]
8050l (4 curves)	1	2+ 5+ 7- 23-	2+  0 5+ 7- -4  2  6 -4
Curve Equation t Generators 8050l1 [1,-1,0,-917,-7259] 2 [-11:43:1] 8050l2 [1,-1,0,-13417,-594759] 4 [295:4441:1] 8050l3 [1,-1,0,-214667,-38228509] 2 [545:2264:1] 8050l4 [1,-1,0,-12167,-711009] 2 [173:1443:1]
8050m (2 curves)	1	2+ 5- 7- 23+	2+ -2 5- 7- -6 -1 -3 -4
Curve Equation t Generators 8050m1 [1,0,1,424,6798] 3 [-12:9:1] 8050m2 [1,0,1,-3951,-220702] 1 [654:197:8]
8050n (2 curves)	0	2- 5+ 7+ 23+	2-  0 5+ 7+ -4 -4  8 -2
Curve Equation t 8050n1 [1,-1,1,-205,5297] 2 8050n2 [1,-1,1,-5955,177797] 2
8050o (2 curves)	1	2- 5+ 7+ 23-	2-  2 5+ 7+ -6  1  3 -4
Curve Equation t Generators 8050o1 [1,1,1,17,61] 1 [1:8:1] 8050o2 [1,1,1,-158,-1829] 1 [29:123:1]
8050p (2 curves)	1	2- 5+ 7+ 23-	2- -2 5+ 7+  4  0 -6 -6
Curve Equation t Generators 8050p1 [1,0,0,862,45892] 2 [-12:190:1] 8050p2 [1,0,0,-15138,669892] 2 [-88:1194:1]
8050q (2 curves)	0	2- 5+ 7- 23-	2-  0 5+ 7-  0 -4 -4 -2
Curve Equation t 8050q1 [1,-1,1,-22255,-1727753] 2 8050q2 [1,-1,1,-390255,-93727753] 2
8050r (1 curve)	1	2- 5- 7+ 23+	2-  0 5- 7+  4 -3 -1  0
Curve Equation t Generators 8050r1 [1,-1,1,6695,4249947] 1 [7902:245695:8]
8050s (1 curve)	1	2- 5- 7+ 23+	2-  0 5- 7+ -4  1  3  8
Curve Equation t Generators 8050s1 [1,-1,1,920,2347] 1 [13:121:1]
8050t (2 curves)	0	2- 5- 7- 23+	2-  1 5- 7-  3  2  3  5
Curve Equation t 8050t1 [1,0,0,22908362,-47057366108] 3 8050t2 [1,0,0,-651331638,-6436892566108] 1
8050u (1 curve)	1	2- 5- 7- 23-	2-  1 5- 7- -5  2 -5  5
Curve Equation t Generators 8050u1 [1,0,0,-963,27617] 1 [-32:177:1]

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