Cremona's table of elliptic curves

47971 = 7² · 11 · 89

Class	r	Atkin-Lehner	Eigenvalues
47971a (1 curve)	0	7+ 11- 89+	-1 -2  3 7+ 11-  3  0 -4
Curve Equation t 47971a1 [1,0,0,-2794,56727] 1
47971b (1 curve)	1	7+ 11- 89-	0  0  3 7+ 11- -6 -4 -4
Curve Equation t Generators 47971b1 [0,0,1,-686,7803] 1 [-27:81:1]
47971c (1 curve)	0	7- 11+ 89+	0 -2  1 7- 11+ -1 -2 -4
Curve Equation t 47971c1 [0,1,1,-555235,2210070503] 1
47971d (1 curve)	2	7- 11+ 89+	0 -2 -3 7- 11+  1 -6 -4
Curve Equation t Generators 47971d1 [0,1,1,33,522] 1 [-54:45:8]&[2:-25:1]
47971e (1 curve)	0	7- 11+ 89+	1 -1  3 7- 11+  6  3  7
Curve Equation t 47971e1 [1,1,0,4679,-45142] 1
47971f (1 curve)	0	7- 11+ 89+	2  0  3 7- 11+  3 -2 -4
Curve Equation t 47971f1 [0,0,1,-2891,59939] 1
47971g (1 curve)	1	7- 11- 89+	0  0  3 7- 11- -3  4  4
Curve Equation t Generators 47971g1 [0,0,1,-307916,65940978] 1 [378:1886:1]
47971h (1 curve)	1	7- 11- 89+	0  0 -3 7- 11-  6  4  4
Curve Equation t Generators 47971h1 [0,0,1,-14,-23] 1 [25:123:1]
47971i (2 curves)	1	7- 11- 89+	1 -2  2 7- 11-  2  2  6
Curve Equation t Generators 47971i1 [1,0,1,-717680,233949321] 2 [4887:334376:1] 47971i2 [1,0,1,-688035,254167211] 2 [39085220:2675838599:8000]
47971j (2 curves)	1	7- 11- 89+	-1  0  2 7- 11-  2  0 -4
Curve Equation t Generators 47971j1 [1,-1,1,456,2426] 2 [510:4031:8] 47971j2 [1,-1,1,-2239,22908] 2 [-33:261:1]
47971k (1 curve)	0	7- 11- 89-	-1  1  3 7- 11-  0  5 -5
Curve Equation t 47971k1 [1,0,0,5291,-567974] 1
47971l (1 curve)	2	7- 11- 89-	-1 -1  3 7- 11- -4 -7 -7
Curve Equation t Generators 47971l1 [1,1,1,-464374,121607268] 1 [398:-371:1]&[48:9947:1]
47971m (1 curve)	0	7- 11- 89-	-1  2 -3 7- 11- -3  0  4
Curve Equation t 47971m1 [1,1,1,-57,-190] 1
47971n (1 curve)	0	7- 11- 89-	2  2  3 7- 11-  3  0  4
Curve Equation t 47971n1 [0,-1,1,-669454,211051763] 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