Cremona's table of elliptic curves

49818 = 2 · 3 · 19² · 23

Class	r	Atkin-Lehner	Eigenvalues
49818a (1 curve)	1	2+ 3+ 19+ 23+	2+ 3+ -4 -2  0  6 -7 19+
Curve Equation t Generators 49818a1 [1,1,0,-1014417,-390769515] 1 [5021338:168520479:2744]
49818b (2 curves)	0	2+ 3+ 19+ 23-	2+ 3+  0  0  6 -2  2 19+
Curve Equation t 49818b1 [1,1,0,-47640,3915072] 2 49818b2 [1,1,0,1000,11590464] 2
49818c (1 curve)	0	2+ 3+ 19+ 23-	2+ 3+  2  1 -4  3  8 19+
Curve Equation t 49818c1 [1,1,0,-6144,-6000192] 1
49818d (2 curves)	0	2+ 3+ 19- 23+	2+ 3+  0  2  0 -2 -3 19-
Curve Equation t 49818d1 [1,1,0,-59325,-5480523] 1 49818d2 [1,1,0,-567195,161941131] 1
49818e (4 curves)	0	2+ 3+ 19- 23+	2+ 3+ -2  4  0 -6 -2 19-
Curve Equation t 49818e1 [1,1,0,-6866,17318964] 2 49818e2 [1,1,0,-1046546,406367220] 4 49818e3 [1,1,0,-2042906,-492947316] 2 49818e4 [1,1,0,-16685066,26225563740] 2
49818f (1 curve)	0	2+ 3+ 19- 23+	2+ 3+  4 -2  0  6  1 19-
Curve Equation t 49818f1 [1,1,0,-3313,-74795] 1
49818g (1 curve)	0	2+ 3- 19+ 23+	2+ 3-  0 -2  4  1 -1 19+
Curve Equation t 49818g1 [1,0,1,-170761,-37617118] 1
49818h (1 curve)	0	2+ 3- 19+ 23+	2+ 3-  1  4 -3  6  4 19+
Curve Equation t 49818h1 [1,0,1,14432,6088430] 1
49818i (2 curves)	0	2+ 3- 19+ 23+	2+ 3-  3 -1  0 -1  3 19+
Curve Equation t 49818i1 [1,0,1,2158,-26188] 3 49818i2 [1,0,1,-46577,-3924988] 1
49818j (2 curves)	1	2+ 3- 19+ 23-	2+ 3-  0 -4 -6 -4 -3 19+
Curve Equation t Generators 49818j1 [1,0,1,-513711,116024482] 3 [5294:62329:8] 49818j2 [1,0,1,-12345486,-16686042560] 1 [404942:90677545:8]
49818k (4 curves)	1	2+ 3- 19- 23+	2+ 3-  2  0  0  2  2 19-
Curve Equation t Generators 49818k1 [1,0,1,1075,-13192] 2 [6495:50258:125] 49818k2 [1,0,1,-6145,-125824] 4 [-41:260:1] 49818k3 [1,0,1,-38635,2824268] 2 [1838:18817:8] 49818k4 [1,0,1,-89175,-10255484] 2 [-87416:45117:512]
49818l (1 curve)	1	2+ 3- 19- 23+	2+ 3-  2  0  6 -7 -1 19-
Curve Equation t Generators 49818l1 [1,0,1,-843665,-742028476] 1 [19940337854257392:429043719529446031:13907109998592]
49818m (1 curve)	0	2+ 3- 19- 23-	2+ 3-  0  0  2  0 -3 19-
Curve Equation t 49818m1 [1,0,1,-67876,3866114] 1
49818n (1 curve)	0	2+ 3- 19- 23-	2+ 3-  1 -1  2 -5  3 19-
Curve Equation t 49818n1 [1,0,1,182,-196] 1
49818o (1 curve)	0	2+ 3- 19- 23-	2+ 3-  2  4  2 -3  5 19-
Curve Equation t 49818o1 [1,0,1,-4340,149258] 1
49818p (2 curves)	0	2+ 3- 19- 23-	2+ 3- -2  2  2 -2  0 19-
Curve Equation t 49818p1 [1,0,1,3963,-14613476] 2 49818p2 [1,0,1,-873267,-308310080] 2
49818q (2 curves)	0	2+ 3- 19- 23-	2+ 3- -2 -2  6  6  4 19-
Curve Equation t 49818q1 [1,0,1,-6591507,-6723090194] 2 49818q2 [1,0,1,-106400787,-422448703250] 2
49818r (1 curve)	2	2+ 3- 19- 23-	2+ 3- -2 -2 -6  0 -5 19-
Curve Equation t Generators 49818r1 [1,0,1,-27,-44] 1 [-4:3:1]&[-2:2:1]
49818s (1 curve)	0	2+ 3- 19- 23-	2+ 3- -4  4  2  0 -7 19-
Curve Equation t 49818s1 [1,0,1,-4423423258,-113236671762748] 1
49818t (1 curve)	0	2- 3+ 19+ 23+	2- 3+  0 -2  4 -1 -1 19+
Curve Equation t 49818t1 [1,1,1,-473,5285] 1
49818u (1 curve)	1	2- 3+ 19+ 23-	2- 3+  0  0  2  0 -3 19+
Curve Equation t Generators 49818u1 [1,1,1,-188,-643] 1 [17:29:1]
49818v (1 curve)	1	2- 3+ 19+ 23-	2- 3+  1 -1  2  5  3 19+
Curve Equation t Generators 49818v1 [1,1,1,65875,1474403] 1 [511:12740:1]
49818w (1 curve)	1	2- 3+ 19+ 23-	2- 3+ -2 -2 -6  0 -5 19+
Curve Equation t Generators 49818w1 [1,1,1,-9574,280937] 1 [1070:8979:8]
49818x (1 curve)	1	2- 3+ 19+ 23-	2- 3+ -4  4  2  0 -7 19+
Curve Equation t Generators 49818x1 [1,1,1,-12253250,16504050791] 1 [2867:68923:1]
49818y (4 curves)	1	2- 3+ 19- 23+	2- 3+  0  2  0 -2  0 19-
Curve Equation t Generators 49818y1 [1,1,1,-12823,-589795] 2 [15447397:4975578:117649] 49818y2 [1,1,1,-207763,-36536731] 2 [15269110843:-5508435323952:117649] 49818y3 [1,1,1,68402,-1168117] 2 [113:2775:1] 49818y4 [1,1,1,-278158,-9762805] 2 [835:18049:1]
49818z (1 curve)	1	2- 3+ 19- 23+	2- 3+  1  4 -3 -6  4 19-
Curve Equation t Generators 49818z1 [1,1,1,40,-871] 1 [9:13:1]
49818ba (2 curves)	1	2- 3+ 19- 23+	2- 3+  3 -1  0  1  3 19-
Curve Equation t Generators 49818ba1 [1,1,1,779211,181180203] 1 [5421980833:2052022842114:141420761] 49818ba2 [1,1,1,-16814124,26887862733] 1 [4493:202857:1]
49818bb (2 curves)	2	2- 3+ 19- 23-	2- 3+  0 -4 -6  4 -3 19-
Curve Equation t Generators 49818bb1 [1,1,1,-1423,-17515] 1 [-17:54:1]&[-15:34:1] 49818bb2 [1,1,1,-34198,2418323] 1 [-191:1519:1]&[33:1135:1]
49818bc (2 curves)	1	2- 3- 19+ 23+	2- 3-  0  2  0  2 -3 19+
Curve Equation t Generators 49818bc1 [1,0,0,-21416513,37419575649] 3 [42196:8596573:1] 49818bc2 [1,0,0,-204757583,-1112392277697] 1 [581956100362:112895731116169:13481272]
49818bd (1 curve)	1	2- 3- 19+ 23+	2- 3-  4 -2  0 -6  1 19+
Curve Equation t Generators 49818bd1 [1,0,0,-1196181,503449953] 1 [752:5039:1]
49818be (2 curves)	0	2- 3- 19+ 23-	2- 3-  0  0  6  2  2 19+
Curve Equation t 49818be1 [1,0,0,-17198228,-26991064176] 2 49818be2 [1,0,0,360812,-79496105584] 2
49818bf (2 curves)	0	2- 3- 19- 23+	2- 3- -2 -2 -6  2  0 19-
Curve Equation t 49818bf1 [1,0,0,-549,-10755] 2 49818bf2 [1,0,0,-11379,-467781] 2
49818bg (1 curve)	2	2- 3- 19- 23+	2- 3- -4 -2  0 -6 -7 19-
Curve Equation t Generators 49818bg1 [1,0,0,-2810,56676] 1 [34:-44:1]&[-322:2753:8]
49818bh (1 curve)	1	2- 3- 19- 23-	2- 3-  2  1 -4 -3  8 19-
Curve Equation t Generators 49818bh1 [1,0,0,-17,873] 1 [16:61:1]

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