Cremona's table of elliptic curves

70642 = 2 · 11 · 13² · 19

Class	r	Atkin-Lehner	Eigenvalues
70642a (1 curve)	1	2+ 11+ 13+ 19+	2+  0 -1 -1 11+ 13+ -6 19+
Curve Equation t Generators 70642a1 [1,-1,0,-1790840,922985792] 1 [751:-1474:1]
70642b (2 curves)	1	2+ 11+ 13+ 19+	2+  0 -2 -2 11+ 13+  6 19+
Curve Equation t Generators 70642b1 [1,-1,0,-623,5305] 2 [-3:86:1] 70642b2 [1,-1,0,1067,27951] 2 [23:242:1]
70642c (1 curve)	1	2+ 11+ 13+ 19+	2+  3  2 -1 11+ 13+ -3 19+
Curve Equation t Generators 70642c1 [1,-1,0,-961,-13285] 1 [18245877:95981198:328509]
70642d (1 curve)	0	2+ 11- 13+ 19+	2+ -1  2  3 11- 13+ -7 19+
Curve Equation t 70642d1 [1,1,0,11151,-66347] 1
70642e (1 curve)	1	2+ 11- 13+ 19-	2+  1 -1 -4 11- 13+  4 19-
Curve Equation t Generators 70642e1 [1,0,1,470661,-514056762] 1 [15725665592223:1284937112254696:2347334289]
70642f (1 curve)	1	2+ 11- 13- 19+	2+ -2  3  5 11- 13- -4 19+
Curve Equation t Generators 70642f1 [1,0,1,-21467,3732198] 1 [-1578:5179:8]
70642g (1 curve)	0	2- 11+ 13+ 19+	2-  1  1  4 11+ 13+  4 19+
Curve Equation t 70642g1 [1,0,0,2785,-233767] 1
70642h (1 curve)	0	2- 11+ 13+ 19+	2- -1  1  3 11+ 13+  7 19+
Curve Equation t 70642h1 [1,1,1,-235505,51952233] 1
70642i (1 curve)	0	2- 11+ 13+ 19+	2-  2  3 -3 11+ 13+ -2 19+
Curve Equation t 70642i1 [1,1,1,-569449,167580343] 1
70642j (1 curve)	1	2- 11+ 13+ 19-	2- -1 -3 -1 11+ 13+  3 19-
Curve Equation t Generators 70642j1 [1,1,1,750948,6176423677] 1 [2293:140137:1]
70642k (2 curves)	1	2- 11+ 13+ 19-	2-  2  2 -2 11+ 13+  6 19-
Curve Equation t Generators 70642k1 [1,1,1,-1588857,626981831] 2 [12225:15844:27] 70642k2 [1,1,1,-24086137,45486558151] 2 [2293:47018:1]
70642l (1 curve)	2	2- 11+ 13- 19-	2- -2 -3 -5 11+ 13- -4 19-
Curve Equation t Generators 70642l1 [1,0,0,-127,1689] 1 [-98:353:8]&[-12:45:1]
70642m (2 curves)	1	2- 11- 13+ 19+	2-  0  0  0 11- 13+  2 19+
Curve Equation t Generators 70642m1 [1,-1,1,26670,8279249] 2 [777:-22697:1] 70642m2 [1,-1,1,-487090,122950481] 2 [-3:11155:1]
70642n (1 curve)	1	2- 11- 13+ 19+	2- -1 -3  3 11- 13+ -5 19+
Curve Equation t Generators 70642n1 [1,1,1,-91995407,-629840400363] 1 [122907:42888882:1]
70642o (2 curves)	1	2- 11- 13+ 19+	2-  2 -2 -4 11- 13+  2 19+
Curve Equation t Generators 70642o1 [1,1,1,-218774,31016851] 2 [395:2337:1] 70642o2 [1,1,1,484266,190185107] 2 [-5559:246971:27]
70642p (1 curve)	2	2- 11- 13+ 19-	2-  0 -3 -3 11- 13+ -2 19-
Curve Equation t Generators 70642p1 [1,-1,1,3337211,140155357] 1 [397:38884:1]&[595:48036:1]

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