Cremona's table of elliptic curves

109557 = 3² · 7 · 37 · 47

Class	r	Atkin-Lehner	Eigenvalues
109557a (2 curves)	2	3+ 7- 37+ 47+	-1 3+  2 7-  0 -6  0 -4
Curve Equation t Generators 109557a1 [1,-1,1,-569,-944] 2 [-22:34:1]&[2550:22574:27] 109557a2 [1,-1,1,-6914,-219212] 2 [-49:34:1]&[182:2036:1]
109557b (2 curves)	2	3+ 7- 37+ 47+	-1 3+ -2 7-  0  2 -2 -4
Curve Equation t Generators 109557b1 [1,-1,1,-116,502] 2 [62:7:8]&[8:2:1] 109557b2 [1,-1,1,-221,-464] 2 [-4:20:1]&[17:13:1]
109557c (2 curves)	1	3+ 7- 37+ 47-	1 3+  2 7-  0  2  2 -4
Curve Equation t Generators 109557c1 [1,-1,0,-1041,-12520] 2 [-146:171:8] 109557c2 [1,-1,0,-1986,14507] 2 [718:5591:8]
109557d (2 curves)	1	3+ 7- 37+ 47-	1 3+ -2 7-  0 -6  0 -4
Curve Equation t Generators 109557d1 [1,-1,0,-63,56] 2 [8:0:1] 109557d2 [1,-1,0,-768,8375] 2 [22:31:1]
109557e (2 curves)	0	3- 7+ 37+ 47+	1 3-  0 7+  4 -4  2  2
Curve Equation t 109557e1 [1,-1,0,-80487,8968504] 2 109557e2 [1,-1,0,-1294272,567066847] 2
109557f (2 curves)	0	3- 7+ 37+ 47+	1 3-  0 7+ -4  0  6  2
Curve Equation t 109557f1 [1,-1,0,12168,1198435] 2 109557f2 [1,-1,0,-122697,14496124] 2
109557g (1 curve)	0	3- 7+ 37+ 47+	2 3-  3 7+  0  1  4  5
Curve Equation t 109557g1 [0,0,1,99,-7] 1
109557h (1 curve)	0	3- 7+ 37+ 47+	-2 3-  3 7+ -5  5  2  8
Curve Equation t 109557h1 [0,0,1,-741,-7826] 1
109557i (2 curves)	1	3- 7+ 37+ 47-	-1 3-  2 7+ -2  4 -2 -6
Curve Equation t Generators 109557i1 [1,-1,1,6961,-515730] 2 [60:309:1] 109557i2 [1,-1,1,-69584,-6149442] 2 [2247:104606:1]
109557j (2 curves)	1	3- 7+ 37+ 47-	-1 3-  2 7+ -6 -2  2  2
Curve Equation t Generators 109557j1 [1,-1,1,-37994,2880056] 2 [108:-221:1] 109557j2 [1,-1,1,-609089,183117638] 2 [-501:19285:1]
109557k (1 curve)	1	3- 7+ 37- 47+	0 3-  1 7+  2 -1  6 -5
Curve Equation t Generators 109557k1 [0,0,1,-793501392,-8603396888072] 1 [61859959150735625480394999178644456859502:10204068750611354504907956906787661677710217:1298182553186049386845313905444901752]
109557l (1 curve)	1	3- 7+ 37- 47+	0 3- -3 7+  2 -5 -2 -1
Curve Equation t Generators 109557l1 [0,0,1,-2964,62167] 1 [29:-25:1]
109557m (4 curves)	1	3- 7+ 37- 47+	-1 3-  2 7+  4 -6  6 -4
Curve Equation t Generators 109557m1 [1,-1,1,-160035314,-758944868664] 2 [-1021042031631544719256722144740:20452148507693811243010807171152:140137716973426431031433375] 109557m2 [1,-1,1,-379620959,1775863982958] 4 [21657956294234:6373553811585312:7564163347] 109557m3 [1,-1,1,1142170186,12446663491698] 2 [768014952:354796440286:68921] 109557m4 [1,-1,1,-5414782424,153330195950286] 2 [83575076:-3442291347:2197]
109557n (2 curves)	1	3- 7- 37+ 47+	1 3- -2 7-  6  2 -6  6
Curve Equation t Generators 109557n1 [1,-1,0,-63,20776] 2 [8:140:1] 109557n2 [1,-1,0,-11718,484645] 2 [-4:731:1]
109557o (2 curves)	1	3- 7- 37+ 47+	1 3-  4 7-  0 -4  6 -6
Curve Equation t Generators 109557o1 [1,-1,0,-4725,-190512] 2 [3822:80619:8] 109557o2 [1,-1,0,-86310,-9735957] 2 [519190:8970927:1000]
109557p (2 curves)	0	3- 7- 37- 47+	1 3-  2 7-  0 -6  0  8
Curve Equation t 109557p1 [1,-1,0,-666,-5913] 2 109557p2 [1,-1,0,-2331,37044] 2
109557q (3 curves)	1	3- 7- 37- 47-	0 3-  3 7-  0  5  0 -7
Curve Equation t Generators 109557q1 [0,0,1,-702966,-226855647] 1 [1780686855841906788766444934010:71507656817451510915765421921393:882869663827384579914849000] 109557q2 [0,0,1,-700986,-228197106] 3 [29726156337630:3918722993649027:1706489875] 109557q3 [0,0,1,2399244,-1173816207] 3 [81490219869835910333865064066096785:10785821352015837400237274850010452789:4687569853917813677776203704125]
109557r (2 curves)	1	3- 7- 37- 47-	-1 3- -4 7-  2  0  2  0
Curve Equation t Generators 109557r1 [1,-1,1,2803,1014900] 2 [-42:927:1] 109557r2 [1,-1,1,-136112,18796020] 2 [-252:6212:1]

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