Cremona's table of elliptic curves

16302 = 2 · 3 · 11 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
16302a (1 curve)	1	2+ 3+ 11+ 13+ 19+	2+ 3+  0  3 11+ 13+  3 19+
Curve Equation t Generators 16302a1 [1,1,0,0,6] 1 [-1:3:1]
16302b (1 curve)	1	2+ 3+ 11+ 13+ 19+	2+ 3+  1 -4 11+ 13+  3 19+
Curve Equation t Generators 16302b1 [1,1,0,-572,-8112] 1 [39:156:1]
16302c (2 curves)	0	2+ 3+ 11- 13+ 19+	2+ 3+  0  4 11- 13+  6 19+
Curve Equation t 16302c1 [1,1,0,-1320,44352] 2 16302c2 [1,1,0,-28680,1855584] 2
16302d (2 curves)	0	2+ 3+ 11- 13+ 19+	2+ 3+  4 -4 11- 13+  6 19+
Curve Equation t 16302d1 [1,1,0,-8873,-370095] 2 16302d2 [1,1,0,-147383,-21839145] 2
16302e (2 curves)	1	2+ 3+ 11- 13+ 19-	2+ 3+  2  0 11- 13+  4 19-
Curve Equation t Generators 16302e1 [1,1,0,-248814,-48200832] 2 [9692413787709:500289962378022:3449795831] 16302e2 [1,1,0,-3988584,-3067691130] 2 [1430503630464575346803:55911047496794241289696:454932265828877299]
16302f (1 curve)	1	2+ 3+ 11- 13+ 19-	2+ 3+ -3 -5 11- 13+ -6 19-
Curve Equation t Generators 16302f1 [1,1,0,-25974,1602276] 1 [224:-2774:1]
16302g (2 curves)	1	2+ 3- 11+ 13- 19+	2+ 3- -2  0 11+ 13-  0 19+
Curve Equation t Generators 16302g1 [1,0,1,208,-2626] 2 [12:34:1] 16302g2 [1,0,1,-2072,-31810] 2 [164:1929:1]
16302h (2 curves)	0	2+ 3- 11+ 13- 19-	2+ 3-  0  4 11+ 13- -4 19-
Curve Equation t 16302h1 [1,0,1,-760029366,-8329654549640] 2 16302h2 [1,0,1,-12271041426,-523203410778968] 2
16302i (2 curves)	1	2+ 3- 11- 13+ 19+	2+ 3-  0 -4 11- 13+  2 19+
Curve Equation t Generators 16302i1 [1,0,1,3948079,463523492] 2 [1707:109498:1] 16302i2 [1,0,1,-15997361,3726597476] 2 [-4092:28000:1]
16302j (1 curve)	1	2+ 3- 11- 13+ 19+	2+ 3- -2  1 11- 13+  3 19+
Curve Equation t Generators 16302j1 [1,0,1,-72582,-7532456] 1 [386:4497:1]
16302k (1 curve)	1	2+ 3- 11- 13+ 19+	2+ 3- -3 -1 11- 13+  2 19+
Curve Equation t Generators 16302k1 [1,0,1,-125,542] 1 [12:22:1]
16302l (2 curves)	1	2+ 3- 11- 13- 19-	2+ 3-  0 -1 11- 13- -3 19-
Curve Equation t Generators 16302l1 [1,0,1,-602126,-179960074] 3 [113148:38002705:1] 16302l2 [1,0,1,-48777671,-131127312478] 1 [2485726796:-836069309949:21952]
16302m (1 curve)	1	2+ 3- 11- 13- 19-	2+ 3- -2  3 11- 13-  1 19-
Curve Equation t Generators 16302m1 [1,0,1,598,-1924] 1 [18:112:1]
16302n (4 curves)	1	2- 3+ 11- 13+ 19+	2- 3+  2  0 11- 13+  2 19+
Curve Equation t Generators 16302n1 [1,1,1,-8766252,9986429133] 4 [4209:216245:1] 16302n2 [1,1,1,-8766572,9985663181] 4 [-2025:140437:1] 16302n3 [1,1,1,-9589652,7997101901] 2 [15455:1876847:1] 16302n4 [1,1,1,-7948612,11925209933] 2 [-1981:142065:1]
16302o (1 curve)	1	2- 3+ 11- 13+ 19+	2- 3+ -2 -5 11- 13+ -5 19+
Curve Equation t Generators 16302o1 [1,1,1,-904,11657] 1 [31:105:1]
16302p (1 curve)	1	2- 3+ 11- 13+ 19+	2- 3+ -4  3 11- 13+ -1 19+
Curve Equation t Generators 16302p1 [1,1,1,-735,-8259] 1 [57:344:1]
16302q (1 curve)	1	2- 3+ 11- 13- 19-	2- 3+ -2  1 11- 13- -3 19-
Curve Equation t Generators 16302q1 [1,1,1,48081,10951797] 1 [-69:2738:1]
16302r (1 curve)	1	2- 3- 11+ 13+ 19+	2- 3-  1  1 11+ 13+ -2 19+
Curve Equation t Generators 16302r1 [1,0,0,-1947760,1046130944] 1 [776:1064:1]
16302s (1 curve)	1	2- 3- 11+ 13+ 19+	2- 3-  1 -4 11+ 13+  3 19+
Curve Equation t Generators 16302s1 [1,0,0,-21030,-1177116] 1 [4692:15230:27]
16302t (1 curve)	0	2- 3- 11+ 13- 19+	2- 3- -3  0 11+ 13-  7 19+
Curve Equation t 16302t1 [1,0,0,-1007,-73089] 1
16302u (2 curves)	1	2- 3- 11+ 13- 19-	2- 3-  0 -1 11+ 13- -3 19-
Curve Equation t Generators 16302u1 [1,0,0,-253,2801] 3 [-10:71:1] 16302u2 [1,0,0,2147,-54511] 1 [76:703:1]
16302v (4 curves)	1	2- 3- 11+ 13- 19-	2- 3-  0 -4 11+ 13-  6 19-
Curve Equation t Generators 16302v1 [1,0,0,-36933,2729601] 6 [-108:2391:1] 16302v2 [1,0,0,-590973,174814425] 6 [864:17157:1] 16302v3 [1,0,0,19767,10102869] 2 [270:5793:1] 16302v4 [1,0,0,-597543,170726931] 2 [4326:17103:8]
16302w (2 curves)	1	2- 3- 11- 13+ 19-	2- 3- -2  2 11- 13+ -2 19-
Curve Equation t Generators 16302w1 [1,0,0,-12344,481344] 2 [40:208:1] 16302w2 [1,0,0,14696,2303840] 2 [-82:782:1]
16302x (1 curve)	1	2- 3- 11- 13- 19+	2- 3-  1 -3 11- 13- -6 19+
Curve Equation t Generators 16302x1 [1,0,0,4245,193329] 1 [36:609:1]

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