Cremona's table of elliptic curves

27075 = 3 · 5² · 19²

Class	r	Atkin-Lehner	Eigenvalues
27075a (2 curves)	1	3+ 5+ 19+	0 3+ 5+ -2 -3  4  0 19+
Curve Equation t Generators 27075a1 [0,-1,1,-1943383,-1014920832] 1 [-842:4873:1] 27075a2 [0,-1,1,-156270883,-751856790207] 1 [-7217:1:1]
27075b (2 curves)	1	3+ 5+ 19+	1 3+ 5+ -2 -4 -2 -6 19+
Curve Equation t Generators 27075b1 [1,1,0,103600,-18943125] 2 [78358:1363013:343] 27075b2 [1,1,0,-753775,-199849250] 2 [1230:26510:1]
27075c (1 curve)	1	3+ 5+ 19+	-2 3+ 5+  2 -3 -6 -6 19+
Curve Equation t Generators 27075c1 [0,-1,1,-57158,-131782] 1 [602:13537:1]
27075d (2 curves)	0	3+ 5+ 19-	1 3+ 5+ -1 -2  5  4 19-
Curve Equation t 27075d1 [1,1,0,50,-125] 1 27075d2 [1,1,0,-16575,814500] 1
27075e (2 curves)	0	3+ 5+ 19-	1 3+ 5+  2 -2 -4 -2 19-
Curve Equation t 27075e1 [1,1,0,13350,15171375] 2 27075e2 [1,1,0,-844025,290388750] 2
27075f (4 curves)	0	3+ 5+ 19-	1 3+ 5+ -4  4  2 -2 19-
Curve Equation t 27075f1 [1,1,0,202875,159075000] 2 27075f2 [1,1,0,-3452250,2304633375] 4 27075f3 [1,1,0,-11168625,-11638856250] 2 27075f4 [1,1,0,-54217875,153636961500] 2
27075g (8 curves)	2	3+ 5+ 19-	-1 3+ 5+  0 -4 -2 -2 19-
Curve Equation t Generators 27075g1 [1,1,1,-188,-159844] 2 [80:547:1]&[131:1378:1] 27075g2 [1,1,1,-45313,-3679594] 4 [-130:252:1]&[1998:5495:8] 27075g3 [1,1,1,-90438,4803906] 4 [-306:2138:1]&[36:1245:1] 27075g4 [1,1,1,-722188,-236524594] 2 [-491:252:1]&[2746705:-64157976:2197] 27075g5 [1,1,1,315687,36481656] 2 [340:-13708:1]&[40:6992:1] 27075g6 [1,1,1,-1218563,516972656] 4 [264:14488:1]&[1850:66887:1] 27075g7 [1,1,1,-992938,714620156] 2 [-800:31987:1]&[-200:30187:1] 27075g8 [1,1,1,-19494188,33120687656] 2 [-420:203272:1]&[-325:198712:1]
27075h (1 curve)	0	3+ 5+ 19-	-1 3+ 5+  0  5  4  4 19-
Curve Equation t 27075h1 [1,1,1,4169362,-2282040844] 1
27075i (2 curves)	0	3+ 5+ 19-	2 3+ 5+  3  2  1 -2 19-
Curve Equation t 27075i1 [0,-1,1,602,-25287] 1 27075i2 [0,-1,1,-75208,8162193] 1
27075j (1 curve)	0	3+ 5+ 19-	-2 3+ 5+  2  1  2 -2 19-
Curve Equation t 27075j1 [0,-1,1,-118374908,-336351773782] 1
27075k (1 curve)	0	3+ 5+ 19-	-2 3+ 5+  5  1  2  1 19-
Curve Equation t 27075k1 [0,-1,1,-21058,-1286982] 1
27075l (1 curve)	1	3+ 5- 19-	1 3+ 5-  4  3  0  0 19-
Curve Equation t Generators 27075l1 [1,1,0,-140075,20180250] 1 [226:248:1]
27075m (2 curves)	0	3- 5+ 19+	-1 3- 5+ -1 -2 -5  4 19+
Curve Equation t 27075m1 [1,0,0,17862,1000767] 1 27075m2 [1,0,0,-5983763,-5634525108] 1
27075n (2 curves)	2	3- 5+ 19+	-1 3- 5+ -2 -4  2 -6 19+
Curve Equation t Generators 27075n1 [1,0,0,287,2792] 2 [-26:355:8]&[1:55:1] 27075n2 [1,0,0,-2088,28917] 2 [-354:1677:8]&[-27:270:1]
27075o (1 curve)	0	3- 5+ 19+	2 3- 5+  2  1 -2 -2 19+
Curve Equation t 27075o1 [0,1,1,-327908,48934469] 1
27075p (2 curves)	1	3- 5+ 19-	0 3- 5+ -2 -3 -4  0 19-
Curve Equation t Generators 27075p1 [0,1,1,-5383,146269] 1 [23:-188:1] 27075p2 [0,1,1,-432883,109479394] 1 [3034:-79:8]
27075q (4 curves)	1	3- 5+ 19-	1 3- 5+  0  0  6  6 19-
Curve Equation t Generators 27075q1 [1,0,1,-13726,533723] 2 [2978334:64173817:5832] 27075q2 [1,0,1,-58851,-4971527] 4 [195003083:5694455569:205379] 27075q3 [1,0,1,76524,-24465527] 2 [118996381137778568:-3781266509432650391:128818230424064] 27075q4 [1,0,1,-916226,-337633027] 2 [3797:223776:1]
27075r (2 curves)	1	3- 5+ 19-	-1 3- 5+  2 -6  0  6 19-
Curve Equation t Generators 27075r1 [1,0,0,171287,1370792] 2 [353:-10465:1] 27075r2 [1,0,0,-686088,10801917] 2 [1797:-68586:1]
27075s (1 curve)	1	3- 5+ 19-	-1 3- 5+ -4  3  0  0 19-
Curve Equation t Generators 27075s1 [1,0,0,-5603,161442] 1 [-27:555:1]
27075t (1 curve)	1	3- 5+ 19-	2 3- 5+  2 -3  6 -6 19-
Curve Equation t Generators 27075t1 [0,1,1,-158,-31] 1 [-6:71:8]
27075u (2 curves)	1	3- 5+ 19-	-2 3- 5+ -3 -3 -6 -3 19-
Curve Equation t Generators 27075u1 [0,1,1,177492,32933144] 1 [-51:-4874:1] 27075u2 [0,1,1,-39622758,95985650144] 1 [25242:390959:8]
27075v (1 curve)	0	3- 5- 19-	1 3- 5-  0  5 -4 -4 19-
Curve Equation t 27075v1 [1,0,1,166774,-18256327] 1
27075w (2 curves)	0	3- 5- 19-	-2 3- 5- -3  2 -1  2 19-
Curve Equation t 27075w1 [0,1,1,-3008,64094] 1 27075w2 [0,1,1,15042,-3130756] 1

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