Cremona's table of elliptic curves

4851 = 3² · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
4851a (1 curve)	1	3+ 7+ 11+	0 3+ -4 7+ 11+  5 -4 -3
Curve Equation t Generators 4851a1 [0,0,1,-18522,2187911] 1 [-27:1633:1]
4851b (1 curve)	0	3+ 7+ 11-	0 3+  4 7+ 11-  5  4 -3
Curve Equation t 4851b1 [0,0,1,-2058,-81034] 1
4851c (1 curve)	0	3+ 7- 11+	0 3+  4 7- 11+ -5  4  3
Curve Equation t 4851c1 [0,0,1,-378,-6379] 1
4851d (2 curves)	0	3+ 7- 11+	-1 3+  4 7- 11+  2 -2  6
Curve Equation t 4851d1 [1,-1,1,-83,74] 2 4851d2 [1,-1,1,-818,-8746] 2
4851e (1 curve)	1	3+ 7- 11-	0 3+ -4 7- 11- -5 -4  3
Curve Equation t Generators 4851e1 [0,0,1,-42,236] 1 [-6:16:1]
4851f (2 curves)	1	3+ 7- 11-	1 3+ -4 7- 11-  2  2  6
Curve Equation t Generators 4851f1 [1,-1,0,-744,-1261] 2 [-22:75:1] 4851f2 [1,-1,0,-7359,243494] 2 [-82:580:1]
4851g (1 curve)	1	3- 7+ 11-	1 3- -4 7+ 11-  0  7 -5
Curve Equation t Generators 4851g1 [1,-1,0,8811,362074] 1 [86:1280:1]
4851h (1 curve)	1	3- 7+ 11-	-1 3-  0 7+ 11-  4 -3  1
Curve Equation t Generators 4851h1 [1,-1,1,-230,1446] 1 [2:30:1]
4851i (1 curve)	1	3- 7+ 11-	2 3-  0 7+ 11- -5 -6  7
Curve Equation t Generators 4851i1 [0,0,1,5145,-515615] 1 [2450:43655:8]
4851j (4 curves)	1	3- 7- 11+	-1 3- -2 7- 11+  2 -2  0
Curve Equation t Generators 4851j1 [1,-1,1,-2876,-58138] 2 [-32:34:1] 4851j2 [1,-1,1,-5081,45056] 4 [-68:303:1] 4851j3 [1,-1,1,-64616,6331952] 2 [60:1603:1] 4851j4 [1,-1,1,19174,336116] 2 [-5:492:1]
4851k (2 curves)	1	3- 7- 11+	-1 3- -2 7- 11+ -4  4  0
Curve Equation t Generators 4851k1 [1,-1,1,1534,87392] 2 [-26:184:1] 4851k2 [1,-1,1,-22721,1222526] 2 [51:415:1]
4851l (3 curves)	1	3- 7- 11+	2 3-  1 7- 11+ -4 -2  0
Curve Equation t Generators 4851l1 [0,0,1,-147,1629] 1 [-126:45:8] 4851l2 [0,0,1,-4557,-214461] 1 [422648730:850802697:4913000] 4851l3 [0,0,1,-3448767,-2465153091] 1 [2104103487521107396631087825101783679204370:-101578264157760198482292398044177532606196893:599063997781233672514630046721459197000]
4851m (1 curve)	0	3- 7- 11-	0 3- -1 7- 11-  4  2  6
Curve Equation t 4851m1 [0,0,1,882,2315] 1
4851n (3 curves)	0	3- 7- 11-	0 3-  3 7- 11-  4 -6 -2
Curve Equation t 4851n1 [0,0,1,-39396,3009739] 1 4851n2 [0,0,1,-21756,5710864] 1 4851n3 [0,0,1,194334,-147821081] 1
4851o (6 curves)	0	3- 7- 11-	1 3- -2 7- 11- -6  2 -4
Curve Equation t 4851o1 [1,-1,0,-15003,710856] 2 4851o2 [1,-1,0,-17208,489915] 4 4851o3 [1,-1,0,-125253,-16689240] 4 4851o4 [1,-1,0,55557,3502386] 2 4851o5 [1,-1,0,-1992888,-1082361771] 2 4851o6 [1,-1,0,13662,-51779169] 2
4851p (1 curve)	0	3- 7- 11-	1 3-  4 7- 11-  0 -7  5
Curve Equation t 4851p1 [1,-1,0,180,-1107] 1
4851q (2 curves)	0	3- 7- 11-	-1 3-  0 7- 11-  4  4  8
Curve Equation t 4851q1 [1,-1,1,6070,-151392] 2 4851q2 [1,-1,1,-32045,-1355826] 2
4851r (1 curve)	0	3- 7- 11-	-1 3-  0 7- 11- -4  3 -1
Curve Equation t 4851r1 [1,-1,1,-11255,-473560] 1
4851s (2 curves)	0	3- 7- 11-	-1 3-  0 7- 11- -4 -4 -8
Curve Equation t 4851s1 [1,-1,1,297445,51332474] 2 4851s2 [1,-1,1,-1570190,468188606] 2
4851t (1 curve)	0	3- 7- 11-	2 3-  0 7- 11-  5  6 -7
Curve Equation t 4851t1 [0,0,1,105,1503] 1

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