Cremona's table of elliptic curves

84050 = 2 · 5² · 41²

Class	r	Atkin-Lehner	Eigenvalues
84050a (4 curves)	1	2+ 5+ 41+	2+  0 5+  4  0 -2  2  0
Curve Equation t Generators 84050a1 [1,-1,0,-58275542,-162358191884] 2 [-296486789060:-550687680542:57066625] 84050a2 [1,-1,0,-918947542,-10721942959884] 4 [-907615644505406484:379680245953003242:51932690894629] 84050a3 [1,-1,0,-905499542,-11050975175884] 2 [1105716487202122308903046366129:2062015566035801099470540032793498:317747353915681447767281] 84050a4 [1,-1,0,-14703147542,-686216663959884] 2 [-283749408349025438790744608341815:141880184227666380406858436631323:4053143229412482457821520875]
84050b (1 curve)	1	2+ 5+ 41+	2+  0 5+ -5 -6  1 -4 -6
Curve Equation t Generators 84050b1 [1,-1,0,-3677,-311379] 1 [113:784:1]
84050c (1 curve)	1	2+ 5+ 41+	2+  2 5+  3  4 -1  0 -2
Curve Equation t Generators 84050c1 [1,1,0,-9075,-14297875] 1 [115036517535619007:14423634063332970341:7259687665147]
84050d (2 curves)	1	2+ 5+ 41+	2+ -2 5+ -2 -2 -6 -6  2
Curve Equation t Generators 84050d1 [1,0,1,-673276,11440698] 2 [-639:13767:1] 84050d2 [1,0,1,2688724,92128698] 2 [386:34267:1]
84050e (1 curve)	1	2+ 5+ 41+	2+ -2 5+ -3 -4  1  0  2
Curve Equation t Generators 84050e1 [1,0,1,-15255951,-985164496702] 1 [2548522140947412376887797354:1639810957104134764121066151848:6145520862431985444019]
84050f (4 curves)	0	2+ 5- 41+	2+ -1 5- -2  3  4  3 -5
Curve Equation t 84050f1 [1,1,0,-875,-118025] 1 84050f2 [1,1,0,-211000,-37394200] 1 84050f3 [1,1,0,-126950,20936500] 1 84050f4 [1,1,0,923675,-154517875] 1
84050g (2 curves)	0	2- 5+ 41+	2-  0 5+ -2  6 -2  8  6
Curve Equation t 84050g1 [1,-1,1,-596230,142029397] 2 84050g2 [1,-1,1,-9001230,10396129397] 2
84050h (2 curves)	0	2- 5+ 41+	2-  0 5+  4  0  4  0 -8
Curve Equation t 84050h1 [1,-1,1,-11980,-476353] 2 84050h2 [1,-1,1,8520,-1952353] 2
84050i (2 curves)	0	2- 5+ 41+	2-  0 5+ -4  0 -4  0  8
Curve Equation t 84050i1 [1,-1,1,-20137855,-33032085353] 2 84050i2 [1,-1,1,14322645,-134414876353] 2
84050j (4 curves)	0	2- 5+ 41+	2-  1 5+  2  3 -4 -3 -5
Curve Equation t 84050j1 [1,0,0,-5078,167492] 1 84050j2 [1,0,0,36947,-1236143] 1 84050j3 [1,0,0,-21888,-14709358] 1 84050j4 [1,0,0,-5275013,-4663724983] 1
84050k (2 curves)	0	2- 5+ 41+	2-  2 5+ -2  6  4  0  2
Curve Equation t 84050k1 [1,1,1,-5488,-156719] 2 84050k2 [1,1,1,-87488,-9996719] 2
84050l (4 curves)	0	2- 5+ 41+	2- -2 5+  2  0 -4  0 -8
Curve Equation t 84050l1 [1,0,0,-7040063,7065620617] 2 84050l2 [1,0,0,-112102563,456838183117] 2 84050l3 [1,0,0,-64824438,-197853532508] 2 84050l4 [1,0,0,-132064438,282979707492] 2
84050m (2 curves)	0	2- 5+ 41+	2- -2 5+  2 -6 -4  0 -2
Curve Equation t 84050m1 [1,0,0,-9225363,-10644386783] 2 84050m2 [1,0,0,-147067363,-686483712783] 2
84050n (2 curves)	0	2- 5+ 41+	2- -2 5+ -4  2  4 -2 -6
Curve Equation t 84050n1 [1,0,0,-63913,3235317] 2 84050n2 [1,0,0,-484163,-127462433] 2
84050o (1 curve)	1	2- 5- 41+	2-  0 5-  5 -6 -1  4 -6
Curve Equation t Generators 84050o1 [1,-1,1,-91930,-39014303] 1 [2942245:2558167:6859]
84050p (1 curve)	1	2- 5- 41+	2-  2 5-  3 -4 -1  0  2
Curve Equation t Generators 84050p1 [1,1,1,-610238,-7881560069] 1 [1240295:65543841:343]
84050q (1 curve)	1	2- 5- 41+	2- -2 5- -3  4  1  0 -2
Curve Equation t Generators 84050q1 [1,0,0,-363,-114383] 1 [222:-3391:1]

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