Cremona's table of elliptic curves

2856 = 2³ · 3 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
2856a (2 curves)	0	2+ 3- 7+ 17+	2+ 3-  2 7+  6  4 17+  2
Curve Equation t 2856a1 [0,1,0,-6032,1879920] 2 2856a2 [0,1,0,-268472,53108208] 2
2856b (1 curve)	1	2+ 3- 7+ 17-	2+ 3- -1 7+ -3  1 17- -1
Curve Equation t Generators 2856b1 [0,1,0,679,159051] 1 [67:-714:1]
2856c (4 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7- -4  6 17-  0
Curve Equation t 2856c1 [0,1,0,-119,462] 2 2856c2 [0,1,0,-124,416] 4 2856c3 [0,1,0,-544,-4624] 2 2856c4 [0,1,0,216,2592] 4
2856d (2 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7-  6 -4 17-  6
Curve Equation t 2856d1 [0,1,0,16,-144] 2 2856d2 [0,1,0,-344,-2448] 2
2856e (1 curve)	1	2- 3+ 7- 17+	2- 3+ -1 7- -1 -1 17+  5
Curve Equation t Generators 2856e1 [0,-1,0,-95121,11323557] 1 [179:-14:1]
2856f (4 curves)	1	2- 3+ 7- 17+	2- 3+  2 7- -4  2 17+ -4
Curve Equation t Generators 2856f1 [0,-1,0,28,-60] 2 [4:10:1] 2856f2 [0,-1,0,-152,-420] 4 [22:80:1] 2856f3 [0,-1,0,-2192,-38772] 2 [73:430:1] 2856f4 [0,-1,0,-992,12012] 2 [218:535:8]
2856g (1 curve)	0	2- 3- 7+ 17-	2- 3-  1 7+ -3 -1 17-  6
Curve Equation t 2856g1 [0,1,0,0,-864] 1
2856h (4 curves)	0	2- 3- 7+ 17-	2- 3- -2 7+  0  2 17-  0
Curve Equation t 2856h1 [0,1,0,-706644,230527296] 4 2856h2 [0,1,0,-11335464,14685722496] 4 2856h3 [0,1,0,-11364624,14606337312] 2 2856h4 [0,1,0,-181367424,940067661600] 2
2856i (1 curve)	0	2- 3- 7+ 17-	2- 3-  3 7+  5 -3 17- -5
Curve Equation t 2856i1 [0,1,0,-89,-357] 1
2856j (1 curve)	1	2- 3- 7- 17-	2- 3- -1 7-  1 -3 17- -5
Curve Equation t Generators 2856j1 [0,1,0,119,17003] 1 [-7:126:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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