Cremona's table of elliptic curves

54873 = 3² · 7 · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
54873a (1 curve)	2	3+ 7+ 13- 67+	1 3+  0 7+ -3 13-  4 -7
Curve Equation t Generators 54873a1 [1,-1,0,1038,12509] 1 [-4:93:1]&[206:1787:8]
54873b (1 curve)	2	3+ 7+ 13- 67+	-1 3+  0 7+  3 13- -4 -7
Curve Equation t Generators 54873b1 [1,-1,1,115,-502] 1 [4:1:1]&[6:16:1]
54873c (1 curve)	1	3+ 7+ 13- 67-	1 3+  4 7+  1 13-  0 -5
Curve Equation t Generators 54873c1 [1,-1,0,-316680,-162757647] 1 [373880:19829511:125]
54873d (1 curve)	1	3+ 7+ 13- 67-	-1 3+ -4 7+ -1 13-  0 -5
Curve Equation t Generators 54873d1 [1,-1,1,-2850122,4397306590] 1 [2978:-150866:1]
54873e (2 curves)	1	3+ 7- 13+ 67-	1 3+ -2 7-  0 13+ -2  0
Curve Equation t Generators 54873e1 [1,-1,0,147,1736] 2 [6254:171671:8] 54873e2 [1,-1,0,-1608,22445] 2 [-44:103:1]
54873f (2 curves)	1	3+ 7- 13+ 67-	-1 3+  2 7-  0 13+  2  0
Curve Equation t Generators 54873f1 [1,-1,1,16,-70] 2 [28:133:1] 54873f2 [1,-1,1,-179,-772] 2 [-6:10:1]
54873g (1 curve)	1	3+ 7- 13+ 67-	2 3+  2 7- -6 13+  1  1
Curve Equation t Generators 54873g1 [0,0,1,81,-3679] 1 [2148:12253:64]
54873h (1 curve)	1	3+ 7- 13+ 67-	-2 3+ -2 7-  6 13+ -1  1
Curve Equation t Generators 54873h1 [0,0,1,9,136] 1 [-2:10:1]
54873i (2 curves)	2	3- 7+ 13+ 67+	1 3-  0 7+  0 13+  0 -4
Curve Equation t Generators 54873i1 [1,-1,0,-2213352,-911130557] 2 [-43756:1096973:64]&[4129554:84896267:2197] 54873i2 [1,-1,0,5758263,-5982672020] 2 [3201880:512995786:125]&[5852:474668:1]
54873j (1 curve)	1	3- 7+ 13+ 67-	-2 3-  2 7+  4 13+ -5 -7
Curve Equation t Generators 54873j1 [0,0,1,-94449,-11573744] 1 [22852:30343:64]
54873k (1 curve)	1	3- 7+ 13- 67+	2 3-  3 7+  0 13-  8 -1
Curve Equation t Generators 54873k1 [0,0,1,-6501,-202041] 1 [25062:167995:216]
54873l (1 curve)	0	3- 7+ 13- 67-	1 3- -2 7+ -2 13-  0  4
Curve Equation t 54873l1 [1,-1,0,-3843,-91206] 1
54873m (1 curve)	1	3- 7- 13+ 67+	0 3-  3 7- -2 13+ -6 -5
Curve Equation t Generators 54873m1 [0,0,1,10284,245934] 1 [-18:234:1]
54873n (4 curves)	1	3- 7- 13+ 67+	1 3- -2 7- -4 13+ -6 -8
Curve Equation t Generators 54873n1 [1,-1,0,-243,8424] 2 [40:228:1] 54873n2 [1,-1,0,-7848,268515] 4 [-114:4971:8] 54873n3 [1,-1,0,-11943,-38610] 2 [-210:4155:8] 54873n4 [1,-1,0,-125433,17130204] 2 [168:798:1]
54873o (2 curves)	0	3- 7- 13+ 67-	1 3-  4 7-  0 13+ -4  4
Curve Equation t 54873o1 [1,-1,0,-55935,-5077832] 2 54873o2 [1,-1,0,-54720,-5309897] 2
54873p (1 curve)	0	3- 7- 13+ 67-	2 3-  2 7-  6 13+  5 -3
Curve Equation t 54873p1 [0,0,1,-111459,-15149817] 1
54873q (2 curves)	1	3- 7- 13- 67-	0 3-  0 7-  0 13- -3 -1
Curve Equation t Generators 54873q1 [0,0,1,24270,972639] 1 [101:-2111:1] 54873q2 [0,0,1,-518430,145672740] 3 [398:-1544:1]

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

Part of Computational Number Theory
Back to Tables and computations