Cremona's table of elliptic curves

19240 = 2³ · 5 · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
19240a (2 curves)	0	2+ 5+ 13+ 37-	2+  2 5+  0  2 13+  6  6
Curve Equation t 19240a1 [0,-1,0,-15468716,-23411749420] 2 19240a2 [0,-1,0,-15441336,-23498784964] 2
19240b (2 curves)	1	2+ 5+ 13- 37-	2+  0 5+  0  4 13-  0  6
Curve Equation t Generators 19240b1 [0,0,0,-443,2758] 2 [-18:70:1] 19240b2 [0,0,0,1037,17262] 2 [-770:12894:125]
19240c (2 curves)	1	2+ 5+ 13- 37-	2+  0 5+ -2  6 13-  2 -4
Curve Equation t Generators 19240c1 [0,0,0,-26263,-1632438] 2 [-98:12:1] 19240c2 [0,0,0,-13763,-3189938] 2 [511:11100:1]
19240d (2 curves)	1	2+ 5+ 13- 37-	2+  0 5+  4  0 13- -4  2
Curve Equation t Generators 19240d1 [0,0,0,-3563,-81642] 2 [-34:14:1] 19240d2 [0,0,0,-2083,-150018] 2 [262:4158:1]
19240e (1 curve)	1	2+ 5- 13+ 37-	2+  1 5- -3 -1 13+  0  2
Curve Equation t Generators 19240e1 [0,1,0,-10585,42283] 1 [-9:370:1]
19240f (2 curves)	1	2+ 5- 13+ 37-	2+  2 5-  0  2 13+  0  0
Curve Equation t Generators 19240f1 [0,-1,0,-640,6012] 2 [9:30:1] 19240f2 [0,-1,0,-2120,-30100] 2 [890:8385:8]
19240g (1 curve)	2	2+ 5- 13- 37-	2+ -3 5- -3 -5 13-  0 -6
Curve Equation t Generators 19240g1 [0,0,0,-1972,32836] 1 [-48:130:1]&[-18:250:1]
19240h (2 curves)	0	2- 5+ 13+ 37+	2- -2 5+ -2 -4 13+  2  8
Curve Equation t 19240h1 [0,1,0,-1576,-24576] 2 19240h2 [0,1,0,-2096,-7520] 2
19240i (2 curves)	1	2- 5+ 13- 37+	2-  2 5+  0  6 13-  0  4
Curve Equation t Generators 19240i1 [0,-1,0,-148616,-15417220] 2 [-768352772429279143:-9655602022125121476:3870854390601197] 19240i2 [0,-1,0,-2174736,-1233520564] 2 [-199078193118033348671033760989140273365:15229934907157561189089522682215267508:236085017451465084493621262623134687]
19240j (2 curves)	1	2- 5- 13+ 37+	2-  0 5- -2  2 13+  6 -4
Curve Equation t Generators 19240j1 [0,0,0,-127,354] 2 [-7:30:1] 19240j2 [0,0,0,373,2454] 2 [3:60:1]

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