Cremona's table of elliptic curves

57717 = 3² · 11² · 53

Class	r	Atkin-Lehner	Eigenvalues
57717a (1 curve)	0	3+ 11- 53+	1 3+  1  1 11- -2 -8 -6
Curve Equation t 57717a1 [1,-1,0,65136,-37607509] 1
57717b (1 curve)	0	3+ 11- 53+	1 3+ -3  3 11- -2  0  2
Curve Equation t 57717b1 [1,-1,0,-10731,-426024] 1
57717c (1 curve)	0	3+ 11- 53+	-1 3+  1 -1 11-  2  8  6
Curve Equation t 57717c1 [1,-1,1,538,28108] 1
57717d (1 curve)	2	3+ 11- 53+	-1 3+ -3 -3 11-  2  0 -2
Curve Equation t Generators 57717d1 [1,-1,1,-89,344] 1 [-3:25:1]&[6:-2:1]
57717e (1 curve)	1	3+ 11- 53-	1 3+ -1 -1 11-  2 -8  6
Curve Equation t Generators 57717e1 [1,-1,0,60,-1061] 1 [74:599:1]
57717f (1 curve)	1	3+ 11- 53-	1 3+  3 -3 11-  2  0 -2
Curve Equation t Generators 57717f1 [1,-1,0,-798,-8497] 1 [47806:96689:1331]
57717g (1 curve)	1	3+ 11- 53-	-1 3+ -1  1 11- -2  8 -6
Curve Equation t Generators 57717g1 [1,-1,1,7237,1390458] 1 [938:28389:1]
57717h (1 curve)	1	3+ 11- 53-	-1 3+  3  3 11- -2  0  2
Curve Equation t Generators 57717h1 [1,-1,1,-96581,11599228] 1 [212:680:1]
57717i (1 curve)	0	3- 11+ 53+	0 3- -1  4 11+  0 -4  8
Curve Equation t 57717i1 [0,0,1,-198,133130] 1
57717j (1 curve)	0	3- 11+ 53+	0 3- -1 -4 11+  0  4 -8
Curve Equation t 57717j1 [0,0,1,-23958,-177196363] 1
57717k (2 curves)	0	3- 11+ 53+	1 3- -2  2 11+  0  2 -2
Curve Equation t 57717k1 [1,-1,0,-156393,-23766264] 2 57717k2 [1,-1,0,-155898,-23924565] 2
57717l (2 curves)	0	3- 11+ 53+	-1 3- -2 -2 11+  0 -2  2
Curve Equation t 57717l1 [1,-1,1,-18923576,31689668090] 2 57717l2 [1,-1,1,-18863681,31900187036] 2
57717m (1 curve)	0	3- 11+ 53+	2 3-  1 -2 11+ -6  4 -4
Curve Equation t 57717m1 [0,0,1,33,-2511] 1
57717n (1 curve)	0	3- 11+ 53+	-2 3-  1  2 11+  6 -4  4
Curve Equation t 57717n1 [0,0,1,3993,3341808] 1
57717o (2 curves)	1	3- 11+ 53-	1 3-  2  4 11+  0 -4 -4
Curve Equation t Generators 57717o1 [1,-1,0,9234,304695] 2 [225691299323490:-3441023517681385:1835116112907] 57717o2 [1,-1,0,-50661,2856222] 2 [-69491586:-7725057412:4019679]
57717p (2 curves)	1	3- 11+ 53-	-1 3-  2 -4 11+  0  4  4
Curve Equation t Generators 57717p1 [1,-1,1,76,-250] 2 [28:138:1] 57717p2 [1,-1,1,-419,-2032] 2 [-8:31:1]
57717q (1 curve)	1	3- 11- 53+	1 3- -1 -1 11-  2 -2 -6
Curve Equation t Generators 57717q1 [1,-1,0,-29970,2149087] 1 [114:395:1]
57717r (1 curve)	1	3- 11- 53+	-1 3- -1  1 11- -2  2  6
Curve Equation t Generators 57717r1 [1,-1,1,-3626393,-2849555640] 1 [932880:900560120:1]
57717s (1 curve)	1	3- 11- 53+	2 3- -3  0 11- -4  0  4
Curve Equation t Generators 57717s1 [0,0,1,6171,-239913] 1 [606540:11613079:1728]
57717t (1 curve)	0	3- 11- 53-	1 3-  1 -1 11- -2  2  6
Curve Equation t 57717t1 [1,-1,0,17946,1105231] 1
57717u (1 curve)	0	3- 11- 53-	1 3- -3 -5 11-  6  2 -6
Curve Equation t 57717u1 [1,-1,0,-50661,4408168] 1
57717v (1 curve)	0	3- 11- 53-	1 3- -4 -4 11- -1  1  3
Curve Equation t 57717v1 [1,-1,0,-390429,-123730106] 1
57717w (1 curve)	0	3- 11- 53-	-1 3-  0  4 11-  3 -3  5
Curve Equation t 57717w1 [1,-1,1,340,12268] 1
57717x (1 curve)	0	3- 11- 53-	-1 3-  1  1 11-  2 -2 -6
Curve Equation t 57717x1 [1,-1,1,2171443,-1477576812] 1
57717y (1 curve)	0	3- 11- 53-	-1 3- -3  5 11- -6 -2  6
Curve Equation t 57717y1 [1,-1,1,-419,-3198] 1
57717z (1 curve)	0	3- 11- 53-	2 3-  0 -1 11- -6 -2 -3
Curve Equation t 57717z1 [0,0,1,-15592665,24154066615] 1
57717ba (1 curve)	0	3- 11- 53-	2 3-  3 -2 11-  0  6  8
Curve Equation t 57717ba1 [0,0,1,534699,-93535027] 1
57717bb (1 curve)	0	3- 11- 53-	-2 3-  0  1 11-  6  2  3
Curve Equation t 57717bb1 [0,0,1,-128865,-18147308] 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