Cremona's table of elliptic curves

48642 = 2 · 3 · 11² · 67

Class	r	Atkin-Lehner	Eigenvalues
48642a (2 curves)	0	2+ 3+ 11- 67+	2+ 3+  0  4 11-  0 -6  2
Curve Equation t 48642a1 [1,1,0,-698535,217129653] 2 48642a2 [1,1,0,-11075495,14182442421] 2
48642b (1 curve)	0	2+ 3+ 11- 67+	2+ 3+ -1  1 11-  6 -5 -4
Curve Equation t 48642b1 [1,1,0,-374893,-88095971] 1
48642c (1 curve)	0	2+ 3+ 11- 67+	2+ 3+ -1  1 11- -6  4 -4
Curve Equation t 48642c1 [1,1,0,-151978,-326052536] 1
48642d (1 curve)	0	2+ 3+ 11- 67+	2+ 3+ -1 -5 11-  0 -2  2
Curve Equation t 48642d1 [1,1,0,-46466543,121910626149] 1
48642e (2 curves)	0	2+ 3+ 11- 67+	2+ 3+  2 -2 11-  0 -2 -4
Curve Equation t 48642e1 [1,1,0,-2118349,-1163984675] 2 48642e2 [1,1,0,224211,-3595093443] 2
48642f (2 curves)	2	2+ 3+ 11- 67+	2+ 3+  2 -2 11-  0 -6 -4
Curve Equation t Generators 48642f1 [1,1,0,-4479,-117135] 2 [-40:25:1]&[160:1735:1] 48642f2 [1,1,0,-3269,-180297] 2 [149:-1708:1]&[24182:1317457:8]
48642g (2 curves)	2	2+ 3+ 11- 67+	2+ 3+ -2 -2 11-  0  2  4
Curve Equation t Generators 48642g1 [1,1,0,-56146,4935220] 2 [-12:2374:1]&[17:1988:1] 48642g2 [1,1,0,21294,17588916] 2 [-49:4078:1]&[219:5619:1]
48642h (1 curve)	2	2+ 3+ 11- 67+	2+ 3+ -2 -2 11-  0  2 -5
Curve Equation t Generators 48642h1 [1,1,0,9,81] 1 [-4:3:1]&[0:-9:1]
48642i (1 curve)	0	2+ 3+ 11- 67+	2+ 3+  3  1 11-  6  0  8
Curve Equation t 48642i1 [1,1,0,1329,7737] 1
48642j (1 curve)	1	2+ 3+ 11- 67-	2+ 3+ -1 -1 11- -2 -3  0
Curve Equation t Generators 48642j1 [1,1,0,-68,114] 1 [-1:14:1]
48642k (2 curves)	1	2+ 3- 11+ 67-	2+ 3- -2  4 11+  2  0  6
Curve Equation t Generators 48642k1 [1,0,1,-122092,-12187606] 2 [418:2930:1] 48642k2 [1,0,1,303828,-78290390] 2 [674:20466:1]
48642l (1 curve)	0	2+ 3- 11- 67-	2+ 3- -1  3 11- -2 -7  0
Curve Equation t 48642l1 [1,0,1,-5081574,-4405927880] 1
48642m (1 curve)	0	2+ 3- 11- 67-	2+ 3- -1  3 11- -2  8  0
Curve Equation t 48642m1 [1,0,1,-85429,-14997952] 1
48642n (1 curve)	0	2+ 3- 11- 67-	2+ 3- -3  3 11- -2 -5  0
Curve Equation t 48642n1 [1,0,1,-259185,-8356988] 1
48642o (1 curve)	1	2- 3+ 11- 67+	2- 3+  1  3 11-  4 -2  2
Curve Equation t Generators 48642o1 [1,1,1,-305,14543] 1 [17:-130:1]
48642p (1 curve)	1	2- 3+ 11- 67+	2- 3+ -1 -1 11- -6  5  4
Curve Equation t Generators 48642p1 [1,1,1,-45362116,117028926917] 1 [413:313425:1]
48642q (4 curves)	1	2- 3+ 11- 67+	2- 3+ -2  0 11- -2 -2  8
Curve Equation t Generators 48642q1 [1,1,1,-20852114,34862412575] 4 [-5095:96755:1] 48642q2 [1,1,1,-60501394,-137088584929] 4 [-6063:-80045:1] 48642q3 [1,1,1,145643886,-868492038369] 2 [393482830650629:-251260008526424009:967361669] 48642q4 [1,1,1,-901035154,-10409755986145] 2 [-1385624733:-837628343:79507]
48642r (2 curves)	1	2- 3+ 11- 67+	2- 3+ -2  0 11- -2  4 -4
Curve Equation t Generators 48642r1 [1,1,1,-107874,13376331] 2 [27699:768123:343] 48642r2 [1,1,1,-1718384,866302427] 2 [10278:218465:8]
48642s (1 curve)	1	2- 3+ 11- 67+	2- 3+ -2  2 11-  0 -2  5
Curve Equation t Generators 48642s1 [1,1,1,1026,-102585] 1 [518:3661:8]
48642t (2 curves)	1	2- 3+ 11- 67+	2- 3+ -2 -4 11- -6  0  4
Curve Equation t Generators 48642t1 [1,1,1,-55239,-4109379] 2 [-93:530:1] 48642t2 [1,1,1,-268199,49641725] 2 [545:-8380:1]
48642u (1 curve)	0	2- 3+ 11- 67-	2- 3+ -1  1 11-  2  3  0
Curve Equation t 48642u1 [1,1,1,-8291,-193093] 1
48642v (2 curves)	2	2- 3- 11+ 67-	2- 3- -2 -4 11+ -2  0 -6
Curve Equation t Generators 48642v1 [1,0,0,-1009,9065] 2 [-34:83:1]&[-22:155:1] 48642v2 [1,0,0,2511,59049] 2 [30:-417:1]&[-12:171:1]
48642w (4 curves)	0	2- 3- 11- 67+	2- 3-  2  0 11-  2 -2  4
Curve Equation t 48642w1 [1,0,0,-1152,3840] 2 48642w2 [1,0,0,-10832,-431760] 4 48642w3 [1,0,0,-3572,-999492] 2 48642w4 [1,0,0,-172972,-27703708] 2
48642x (4 curves)	0	2- 3- 11- 67+	2- 3-  2  0 11- -2  6  8
Curve Equation t 48642x1 [1,0,0,-16882,842612] 4 48642x2 [1,0,0,-19302,584640] 4 48642x3 [1,0,0,61768,4232790] 2 48642x4 [1,0,0,-139092,-19564038] 2
48642y (2 curves)	0	2- 3- 11- 67+	2- 3- -2  0 11-  2  0  0
Curve Equation t 48642y1 [1,0,0,-41929,-3303211] 2 48642y2 [1,0,0,-55239,-1032525] 2
48642z (2 curves)	0	2- 3- 11- 67+	2- 3-  4 -2 11- -4 -2  4
Curve Equation t 48642z1 [1,0,0,-30165121,-63769325047] 2 48642z2 [1,0,0,-28926081,-69247120887] 2
48642ba (2 curves)	1	2- 3- 11- 67-	2- 3-  0  0 11- -4  2  6
Curve Equation t Generators 48642ba1 [1,0,0,-71453,6846753] 2 [-56:3295:1] 48642ba2 [1,0,0,-233593,-35406931] 2 [-190:1553:1]
48642bb (1 curve)	1	2- 3- 11- 67-	2- 3- -1 -3 11-  2  7  0
Curve Equation t Generators 48642bb1 [1,0,0,-614870396,5863675137552] 1 [9694:897442:1]
48642bc (3 curves)	1	2- 3- 11- 67-	2- 3- -3  1 11-  4  6 -2
Curve Equation t Generators 48642bc1 [1,0,0,-17487,-938871] 1 [252:-3393:1] 48642bc2 [1,0,0,96858,-1327644] 1 [2100:96234:1] 48642bc3 [1,0,0,-1240797,582692529] 1 [2210:91823:1]
48642bd (1 curve)	1	2- 3- 11- 67-	2- 3- -3 -3 11-  2  5  0
Curve Equation t Generators 48642bd1 [1,0,0,-2142,6084] 1 [-36:210:1]

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