Cremona's table of elliptic curves

51471 = 3² · 7 · 19 · 43

Class	r	Atkin-Lehner	Eigenvalues
51471a (1 curve)	1	3+ 7- 19- 43+	1 3+ -2 7- -3 -1  5 19-
Curve Equation t Generators 51471a1 [1,-1,0,42,-931] 1 [28:133:1]
51471b (1 curve)	1	3+ 7- 19- 43+	-1 3+  2 7-  3 -1 -5 19-
Curve Equation t Generators 51471b1 [1,-1,1,376,24760] 1 [-20:104:1]
51471c (1 curve)	0	3- 7+ 19+ 43+	2 3-  2 7+ -1 -5  3 19+
Curve Equation t 51471c1 [0,0,1,-104529,-13010697] 1
51471d (2 curves)	1	3- 7+ 19+ 43-	1 3-  0 7+  2 -2 -2 19+
Curve Equation t Generators 51471d1 [1,-1,0,-637407,195967512] 2 [-41196:1199391:64] 51471d2 [1,-1,0,-732222,133901613] 2 [-56284932:-1516756521:85184]
51471e (4 curves)	1	3- 7+ 19+ 43-	-1 3- -2 7+ -4 -2  6 19+
Curve Equation t Generators 51471e1 [1,-1,1,-47966,3890612] 4 [99:274:1] 51471e2 [1,-1,1,-131171,-13183054] 4 [577:9859:1] 51471e3 [1,-1,1,339034,-86535034] 2 [28180:764383:64] 51471e4 [1,-1,1,-1932656,-1033544158] 2 [21374:896847:8]
51471f (2 curves)	1	3- 7+ 19- 43+	1 3-  0 7+  6  2 -6 19-
Curve Equation t Generators 51471f1 [1,-1,0,-4842,130599] 2 [78:2283:8] 51471f2 [1,-1,0,-6777,17982] 2 [-18:1467:8]
51471g (4 curves)	1	3- 7+ 19- 43+	-1 3-  2 7+  0  2  2 19-
Curve Equation t Generators 51471g1 [1,-1,1,-914,17880] 4 [188:2448:1] 51471g2 [1,-1,1,-17159,869118] 4 [-94:1329:1] 51471g3 [1,-1,1,-19724,594150] 2 [-97:1308:1] 51471g4 [1,-1,1,-274514,55428378] 2 [296:54:1]
51471h (2 curves)	1	3- 7+ 19- 43+	-1 3-  2 7+  4  4  4 19-
Curve Equation t Generators 51471h1 [1,-1,1,-7847879,-6699369850] 2 [-9374715340:147408383835:4657463] 51471h2 [1,-1,1,-40369424,92894609558] 2 [808501396843033:149254696211941954:22882115719]
51471i (1 curve)	1	3- 7+ 19- 43+	2 3-  2 7+  3 -1 -1 19-
Curve Equation t Generators 51471i1 [0,0,1,213487341,3116536152709] 1 [126899678068563384127348688730903872:150655752558961664649281355720519291263:90044519602347600163414212608]
51471j (6 curves)	0	3- 7+ 19- 43-	1 3-  2 7+  4  6 -2 19-
Curve Equation t 51471j1 [1,-1,0,-8375841,16880364144] 2 51471j2 [1,-1,0,-162221886,794941352127] 4 51471j3 [1,-1,0,-190761201,496014858954] 2 51471j4 [1,-1,0,-2595219291,50887924923672] 4 51471j5 [1,-1,0,-2594888406,50901549510609] 2 51471j6 [1,-1,0,-41523508656,3256796052946755] 2
51471k (2 curves)	1	3- 7- 19+ 43+	-1 3-  2 7-  0 -4  4 19+
Curve Equation t Generators 51471k1 [1,-1,1,-914,-9984] 2 [78:584:1] 51471k2 [1,-1,1,-14459,-665562] 2 [141:219:1]
51471l (1 curve)	1	3- 7- 19+ 43+	2 3-  2 7-  3 -1 -5 19+
Curve Equation t Generators 51471l1 [0,0,1,24621,8023963] 1 [2098:45615:8]
51471m (2 curves)	0	3- 7- 19- 43+	1 3-  4 7-  0  2  2 19-
Curve Equation t 51471m1 [1,-1,0,345,-1432] 2 51471m2 [1,-1,0,-1590,-11107] 2
51471n (3 curves)	1	3- 7- 19- 43-	0 3- -3 7-  0 -4  0 19-
Curve Equation t Generators 51471n1 [0,0,1,-254694,-49473918] 1 [11266:390659:8] 51471n2 [0,0,1,-213384,-66050163] 3 [5074:58649:8] 51471n3 [0,0,1,1797576,1228128282] 3 [-2990:179609:8]
51471o (1 curve)	1	3- 7- 19- 43-	2 3-  1 7-  2  2  0 19-
Curve Equation t Generators 51471o1 [0,0,1,1563,81693] 1 [-254:59:8]

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

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