Cremona's table of elliptic curves

70574 = 2 · 7 · 71²

Class	r	Atkin-Lehner	Eigenvalues
70574a (2 curves)	0	2+ 7+ 71-	2+  1  0 7+  3  1  6 -4
Curve Equation t 70574a1 [1,0,1,829139,-325108376] 1 70574a2 [1,0,1,-8118636,14156686506] 1
70574b (2 curves)	0	2+ 7+ 71-	2+  1  0 7+  3  4 -3 -7
Curve Equation t 70574b1 [1,0,1,-141,-654] 1 70574b2 [1,0,1,214,-3068] 1
70574c (1 curve)	0	2+ 7+ 71-	2+  1  0 7+ -5  3  6 -4
Curve Equation t 70574c1 [1,0,1,131564,162808594] 1
70574d (2 curves)	0	2+ 7+ 71-	2+  2 -2 7+ -4  0  0  2
Curve Equation t 70574d1 [1,1,0,-1872836,1050143696] 2 70574d2 [1,1,0,-30505716,64838473760] 2
70574e (6 curves)	0	2+ 7+ 71-	2+ -2  0 7+  0  4 -6  2
Curve Equation t 70574e1 [1,0,1,-2626,-105024] 2 70574e2 [1,0,1,-53036,-4702416] 2 70574e3 [1,0,1,22579,2193672] 2 70574e4 [1,0,1,-179061,23890136] 2 70574e5 [1,0,1,-859596,307567370] 2 70574e6 [1,0,1,-13764556,19654683402] 2
70574f (1 curve)	0	2+ 7+ 71-	2+ -3  0 7+  3 -1  6  4
Curve Equation t 70574f1 [1,-1,0,-111847,56410129] 1
70574g (2 curves)	1	2+ 7- 71-	2+  1  0 7- -3 -4  3 -7
Curve Equation t Generators 70574g1 [1,0,1,-708366,229734330] 3 [151248857820:-465463152201:329939371] 70574g2 [1,0,1,1081189,1104468814] 1 [352:38922:1]
70574h (1 curve)	1	2+ 7- 71-	2+  1  0 7-  5 -3 -6 -4
Curve Equation t Generators 70574h1 [1,0,1,663216539,-58267007477168] 1 [1197515213:171427570538:29791]
70574i (1 curve)	1	2+ 7- 71-	2+  1  0 7-  5 -5  2  4
Curve Equation t Generators 70574i1 [1,0,1,-2626,-1536668] 1 [1154923:33347803:1331]
70574j (2 curves)	1	2+ 7- 71-	2+ -2  2 7- -4  0  4  6
Curve Equation t Generators 70574j1 [1,0,1,1287870,292535108] 2 [-14595:1489289:125] 70574j2 [1,0,1,-5870350,2485813716] 2 [9210:612904:27]
70574k (1 curve)	1	2+ 7- 71-	2+ -3  0 7- -3  1 -6  4
Curve Equation t Generators 70574k1 [1,-1,0,-22,-152] 1 [18:62:1]
70574l (4 curves)	1	2- 7+ 71-	2-  0 -2 7+  4  6 -6  0
Curve Equation t Generators 70574l1 [1,-1,1,-79081,5981225] 4 [235529:114187328:1] 70574l2 [1,-1,1,-482361,-124197559] 4 [9504458535607:4607863831902680:40353607] 70574l3 [1,-1,1,223379,-457589135] 2 [15533259701090820540954036235:7530729828175307671495929228870:65950590206668617278297] 70574l4 [1,-1,1,-7640581,-8127087519] 2 [15421614492780104033518452723:7476176484918871465289106093178:65474708899381661944701]
70574m (4 curves)	1	2- 7+ 71-	2- -2  0 7+  6 -2  6  2
Curve Equation t Generators 70574m1 [1,0,0,-3417903,2005269049] 2 [4964:325183:1] 70574m2 [1,0,0,-16322863,-23543970759] 2 [711380:-32925591:125] 70574m3 [1,0,0,-263130223,1642851898233] 2 [28687215570:8464628601:3048625] 70574m4 [1,0,0,-263331863,1640207873569] 2 [5831475388073760:-87133874688610007:564584009625]
70574n (2 curves)	0	2- 7- 71-	2- -2  4 7- -2 -6  2 -6
Curve Equation t 70574n1 [1,0,0,-55556,-4985972] 2 70574n2 [1,0,0,-105966,5448898] 2

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