Cremona's table of elliptic curves

49197 = 3 · 23² · 31

Class	r	Atkin-Lehner	Eigenvalues
49197a (1 curve)	0	3+ 23- 31+	0 3+  1  2 -6  2  0  2
Curve Equation t 49197a1 [0,-1,1,-275785,58316994] 1
49197b (1 curve)	0	3+ 23- 31+	0 3+ -1 -2  6  2  0 -2
Curve Equation t 49197b1 [0,-1,1,-521,-4612] 1
49197c (2 curves)	0	3+ 23- 31+	1 3+  0  0  0  6  2  4
Curve Equation t 49197c1 [1,1,0,-16145,824952] 2 49197c2 [1,1,0,-262130,51547059] 2
49197d (1 curve)	0	3+ 23- 31+	1 3+  1 -5 -3  4 -2  4
Curve Equation t 49197d1 [1,1,0,-157917,-14584818] 1
49197e (1 curve)	0	3+ 23- 31+	1 3+ -1  5  3  4  2 -4
Curve Equation t 49197e1 [1,1,0,-298,1069] 1
49197f (1 curve)	0	3+ 23- 31+	1 3+ -3 -3  3 -6  2  4
Curve Equation t 49197f1 [1,1,0,-1460844,-559470159] 1
49197g (1 curve)	0	3+ 23- 31+	-1 3+  3  3  3 -4 -2 -4
Curve Equation t 49197g1 [1,1,1,-24184,1398014] 1
49197h (1 curve)	0	3+ 23- 31+	-1 3+ -3 -3 -3 -4  2  4
Curve Equation t 49197h1 [1,1,1,-12793347,-17137571970] 1
49197i (1 curve)	1	3- 23- 31+	0 3-  2 -5  2  1 -6  0
Curve Equation t Generators 49197i1 [0,1,1,-85437,-15469846] 1 [7866:233519:8]
49197j (1 curve)	1	3- 23- 31+	0 3- -2  5 -2  1  6  0
Curve Equation t Generators 49197j1 [0,1,1,-45196349,187860042896] 1 [35758:6655405:1]
49197k (6 curves)	1	3- 23- 31+	-1 3-  2  0  4 -2 -2  4
Curve Equation t Generators 49197k1 [1,0,0,-5728552,-5277821377] 2 [-151843405043639861:75682202397526858:109881590603273] 49197k2 [1,0,0,-5731197,-5272704360] 4 [-16311123363:-25243912641:11697083] 49197k3 [1,0,0,-3845312,-8799686487] 2 [465155:20841989:125] 49197k4 [1,0,0,-7659402,-1418222565] 4 [157303374806226:15117235267301967:15568817473] 49197k5 [1,0,0,30119133,-11248197372] 2 [16896109877561191954103607334:-1894176555496693792059204128087:1803319087280960785626728] 49197k6 [1,0,0,-76289217,255106299942] 2 [7756284:-100304791:1728]
49197l (1 curve)	1	3- 23- 31+	2 3- -1  0 -2  4  4 -8
Curve Equation t Generators 49197l1 [0,1,1,-176,81167] 1 [-294:1583:8]
49197m (1 curve)	1	3- 23- 31+	-2 3- -3 -4  2  0 -4  4
Curve Equation t Generators 49197m1 [0,1,1,-1372402,618417100] 1 [728:2380:1]
49197n (1 curve)	0	3- 23- 31-	0 3-  2 -3  6 -5  4 -4
Curve Equation t 49197n1 [0,1,1,-470457,-124377721] 1
49197o (1 curve)	2	3- 23- 31-	0 3- -2  3 -6 -5 -4  4
Curve Equation t Generators 49197o1 [0,1,1,-889,9913] 1 [-278:53:8]&[23:46:1]
49197p (1 curve)	0	3- 23- 31-	1 3-  1  2 -6 -5  2  0
Curve Equation t 49197p1 [1,0,1,-1192113,-501083495] 1
49197q (1 curve)	0	3- 23- 31-	1 3- -1 -2  6 -5 -2  0
Curve Equation t 49197q1 [1,0,1,-630627524,6095421625583] 1
49197r (2 curves)	0	3- 23- 31-	1 3-  2 -2  0 -2  4 -6
Curve Equation t 49197r1 [1,0,1,15065,-325747] 2 49197r2 [1,0,1,-66930,-2752799] 2

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

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