Cremona's table of elliptic curves

56763 = 3² · 7 · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
56763a (1 curve)	1	3+ 7+ 17+ 53+	1 3+ -1 7+ -4 -2 17+  6
Curve Equation t Generators 56763a1 [1,-1,0,-15,34] 1 [2:-4:1]
56763b (1 curve)	0	3+ 7+ 17+ 53-	2 3+  3 7+  5  5 17+ -5
Curve Equation t 56763b1 [0,0,1,39,-371] 1
56763c (1 curve)	2	3+ 7+ 17- 53+	-2 3+ -3 7+ -5  5 17- -5
Curve Equation t Generators 56763c1 [0,0,1,351,10010] 1 [25:185:1]&[-3:94:1]
56763d (1 curve)	1	3+ 7+ 17- 53-	-1 3+  1 7+  4 -2 17-  6
Curve Equation t Generators 56763d1 [1,-1,1,-137,-782] 1 [112:1118:1]
56763e (4 curves)	0	3- 7+ 17+ 53+	1 3-  2 7+ -4 -2 17+  0
Curve Equation t 56763e1 [1,-1,0,7839,1039072] 2 56763e2 [1,-1,0,-118566,14564407] 4 56763e3 [1,-1,0,-402381,-81421826] 2 56763e4 [1,-1,0,-1857231,974655220] 2
56763f (1 curve)	0	3- 7+ 17+ 53+	1 3-  2 7+  5 -2 17+  0
Curve Equation t 56763f1 [1,-1,0,-1071,-13226] 1
56763g (2 curves)	0	3- 7+ 17+ 53+	-1 3-  0 7+  0 -2 17+  4
Curve Equation t 56763g1 [1,-1,1,-24551825,46830705504] 2 56763g2 [1,-1,1,-24551060,46833769176] 2
56763h (1 curve)	0	3- 7+ 17+ 53+	-2 3-  2 7+  2  4 17+ -3
Curve Equation t 56763h1 [0,0,1,1941,-12992] 1
56763i (1 curve)	1	3- 7+ 17+ 53-	-1 3-  0 7+  5 -4 17+ -2
Curve Equation t Generators 56763i1 [1,-1,1,-68765,-6923334] 1 [122754:42946812:1]
56763j (1 curve)	1	3- 7+ 17+ 53-	2 3-  3 7+  5 -4 17+  1
Curve Equation t Generators 56763j1 [0,0,1,879,5593] 1 [1874:28913:8]
56763k (2 curves)	1	3- 7+ 17- 53+	-1 3-  0 7+ -4  6 17-  2
Curve Equation t Generators 56763k1 [1,-1,1,220,2774] 2 [7:64:1] 56763k2 [1,-1,1,-2165,34256] 2 [57:-335:1]
56763l (1 curve)	1	3- 7+ 17- 53+	2 3-  3 7+  2  3 17-  2
Curve Equation t Generators 56763l1 [0,0,1,-3071451,2071874763] 1 [162895029792:-80335153:160989184]
56763m (2 curves)	0	3- 7+ 17- 53-	1 3-  4 7+ -4 -6 17-  4
Curve Equation t 56763m1 [1,-1,0,-315,-752] 2 56763m2 [1,-1,0,-2700,54103] 2
56763n (1 curve)	2	3- 7- 17+ 53-	0 3- -1 7- -5  0 17+ -5
Curve Equation t Generators 56763n1 [0,0,1,-1472628,-965450840] 1 [1462:2551:1]&[2260:85144:1]
56763o (1 curve)	0	3- 7- 17+ 53-	0 3-  2 7- -2  6 17+  1
Curve Equation t 56763o1 [0,0,1,-1074,-15026] 1
56763p (2 curves)	0	3- 7- 17- 53+	-1 3-  4 7-  4 -2 17- -4
Curve Equation t 56763p1 [1,-1,1,-158,-156] 2 56763p2 [1,-1,1,607,-1686] 2
56763q (1 curve)	1	3- 7- 17- 53-	0 3-  1 7- -1  4 17- -7
Curve Equation t Generators 56763q1 [0,0,1,-822,-9846] 1 [164:2065:1]
56763r (2 curves)	1	3- 7- 17- 53-	0 3-  3 7-  3 -4 17- -1
Curve Equation t Generators 56763r1 [0,0,1,-5106,-2175156] 1 [242:-3281:1] 56763r2 [0,0,1,45924,58514823] 3 [53:7816:1]
56763s (1 curve)	1	3- 7- 17- 53-	1 3-  0 7-  3 -4 17- -6
Curve Equation t Generators 56763s1 [1,-1,0,-162,373] 1 [12:1:1]

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

Part of Computational Number Theory
Back to Tables and computations