Cremona's table of elliptic curves

55738 = 2 · 29 · 31²

Class	r	Atkin-Lehner	Eigenvalues
55738a (1 curve)	1	2+ 29+ 31+	2+  1  3 -5  3  3  1 -7
Curve Equation t Generators 55738a1 [1,0,1,-6468992,-6333442178] 1 [-383105916225:202729348529:260917119]
55738b (2 curves)	1	2+ 29+ 31+	2+ -2  0  2  0 -4  0  2
Curve Equation t Generators 55738b1 [1,0,1,-34136,2448120] 3 [-4511220:21815835:21952] 55738b2 [1,0,1,114819,12696224] 1 [-6412:31043:64]
55738c (1 curve)	0	2+ 29+ 31-	2+  0  3  2  0  0 -5 -1
Curve Equation t 55738c1 [1,-1,0,-44138,-3349132] 1
55738d (1 curve)	0	2+ 29+ 31-	2+  1 -3  3  3  3  3 -5
Curve Equation t 55738d1 [1,0,1,-8792690,-9954299900] 1
55738e (1 curve)	2	2+ 29+ 31-	2+ -3 -3 -1 -1 -5  3 -1
Curve Equation t Generators 55738e1 [1,-1,0,-676,6928] 1 [-16:124:1]&[13:8:1]
55738f (1 curve)	2	2+ 29- 31+	2+ -1 -3  3 -3 -3 -3 -5
Curve Equation t Generators 55738f1 [1,1,0,-9149,330301] 1 [90:451:1]&[-15:689:1]
55738g (1 curve)	0	2+ 29- 31+	2+  3 -3 -1  1  5 -3 -1
Curve Equation t 55738g1 [1,-1,0,-649816,-201193984] 1
55738h (1 curve)	1	2+ 29- 31-	2+  0  3  2  0  0  5 -1
Curve Equation t Generators 55738h1 [1,-1,0,-42416798,100113325332] 1 [1053384:74636001:512]
55738i (1 curve)	1	2+ 29- 31-	2+ -1  3 -5 -3 -3 -1 -7
Curve Equation t Generators 55738i1 [1,1,0,-6731,209773] 1 [42:37:1]
55738j (2 curves)	1	2+ 29- 31-	2+  2  0  2  0  4  0  2
Curve Equation t Generators 55738j1 [1,1,0,-35,-97] 1 [17311:114955:343] 55738j2 [1,1,0,120,-376] 1 [5:17:1]
55738k (1 curve)	1	2+ 29- 31-	2+ -2 -3 -2 -4  2 -1  7
Curve Equation t Generators 55738k1 [1,0,1,-67533815,-213603432870] 1 [-4730890:6059029:1000]
55738l (1 curve)	1	2+ 29- 31-	2+  3 -3 -2  1 -3  4 -8
Curve Equation t Generators 55738l1 [1,-1,0,-1141,-21127] 1 [4206:48863:27]
55738m (1 curve)	0	2- 29+ 31+	2- -1 -3  1  1  1  7 -5
Curve Equation t 55738m1 [1,1,1,-1717327,812283285] 1
55738n (2 curves)	1	2- 29+ 31-	2-  0  0  2  2 -2  0  8
Curve Equation t Generators 55738n1 [1,-1,1,4906205,-9895282205] 1 [105691:34314738:1] 55738n2 [1,-1,1,-1879076635,31356616290803] 1 [6245326139617544499300622516209785012:1914492366029645266669199475414751626253:57353818944519183192816204762688]
55738o (1 curve)	1	2- 29+ 31-	2-  0 -1 -2  4 -4  3  5
Curve Equation t Generators 55738o1 [1,-1,1,-103,-365] 1 [-5:4:1]
55738p (1 curve)	1	2- 29+ 31-	2-  0  3 -4  2  4  3 -7
Curve Equation t Generators 55738p1 [1,-1,1,-29491,1926099] 1 [411:7482:1]
55738q (1 curve)	1	2- 29+ 31-	2-  2 -3 -4  2  6 -3  5
Curve Equation t Generators 55738q1 [1,1,1,-2760012,1118534765] 1 [5205:354889:1]
55738r (1 curve)	1	2- 29+ 31-	2-  3 -1 -1  1  1 -1 -3
Curve Equation t Generators 55738r1 [1,-1,1,-2481963,-1361948165] 1 [-18195:64730:27]
55738s (2 curves)	1	2- 29- 31+	2-  0  0  2 -2  2  0  8
Curve Equation t Generators 55738s1 [1,-1,1,5105,330839] 1 [-13:518:1] 55738s2 [1,-1,1,-1955335,-1052048729] 1 [1909:45622:1]
55738t (1 curve)	1	2- 29- 31+	2- -3 -1 -1 -1 -1  1 -3
Curve Equation t Generators 55738t1 [1,-1,1,-2583,46383] 1 [101:848:1]
55738u (1 curve)	0	2- 29- 31-	2-  0 -1 -2 -4  4 -3  5
Curve Equation t 55738u1 [1,-1,1,-98683,11655263] 1
55738v (2 curves)	0	2- 29- 31-	2-  1  1 -2  3  1 -8  0
Curve Equation t 55738v1 [1,0,0,4785,-211207] 1 55738v2 [1,0,0,-437275,112014373] 1
55738w (1 curve)	2	2- 29- 31-	2-  1 -3  1 -1 -1 -7 -5
Curve Equation t Generators 55738w1 [1,0,0,-1787,-27439] 1 [-28:43:1]&[-218:387:8]
55738x (2 curves)	0	2- 29- 31-	2-  2 -3  2  0 -2  3  5
Curve Equation t 55738x1 [1,1,1,-208557,-36642973] 1 55738x2 [1,1,1,-1054237,386473795] 1
55738y (1 curve)	2	2- 29- 31-	2- -2 -3 -4 -2 -6  3  5
Curve Equation t Generators 55738y1 [1,0,0,-2872,-37824] 1 [80:-536:1]&[-40:136:1]

Data from Elliptic Curve Data by J. E. Cremona.
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