Cremona's table of elliptic curves

19136 = 2⁶ · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
19136a (1 curve)	1	2+ 13+ 23+	2+ -1 -1 -4  5 13+  4  5
Curve Equation t Generators 19136a1 [0,-1,0,-4111,131189] 1 [28:193:1]
19136b (1 curve)	1	2+ 13+ 23+	2+ -1  3  4  1 13+  0 -7
Curve Equation t Generators 19136b1 [0,-1,0,-79,-259] 1 [9540:20321:729]
19136c (1 curve)	1	2+ 13+ 23+	2+ -1  3 -5 -2 13+  3 -4
Curve Equation t Generators 19136c1 [0,-1,0,-39489,3033601] 1 [105:184:1]
19136d (2 curves)	0	2+ 13+ 23-	2+  0  0  0  2 13+ -2  6
Curve Equation t 19136d1 [0,0,0,-7180,237552] 2 19136d2 [0,0,0,-115340,15077104] 2
19136e (1 curve)	0	2+ 13+ 23-	2+  1 -1  4 -5 13+  4 -5
Curve Equation t 19136e1 [0,1,0,-4111,-131189] 1
19136f (1 curve)	0	2+ 13+ 23-	2+  1  3 -4 -1 13+  0  7
Curve Equation t 19136f1 [0,1,0,-79,259] 1
19136g (1 curve)	0	2+ 13+ 23-	2+  1  3  5  2 13+  3  4
Curve Equation t 19136g1 [0,1,0,-39489,-3033601] 1
19136h (1 curve)	0	2+ 13+ 23-	2+  3  3  3  2 13+  1 -6
Curve Equation t 19136h1 [0,0,0,2804,259568] 1
19136i (1 curve)	0	2+ 13+ 23-	2+ -3 -3  0  5 13+ -2 -3
Curve Equation t 19136i1 [0,0,0,-64,-224] 1
19136j (2 curves)	0	2+ 13- 23+	2+  0  0  4 -4 13- -6  0
Curve Equation t 19136j1 [0,0,0,-35,76] 2 19136j2 [0,0,0,-100,-288] 2
19136k (1 curve)	0	2+ 13- 23+	2+  1 -3  3 -2 13- -1  4
Curve Equation t 19136k1 [0,1,0,-897,-11041] 1
19136l (2 curves)	1	2+ 13- 23-	2+  0  0 -4  4 13- -6  0
Curve Equation t Generators 19136l1 [0,0,0,-35,-76] 2 [516:2132:27] 19136l2 [0,0,0,-100,288] 2 [-8:24:1]
19136m (2 curves)	1	2+ 13- 23-	2+  0  2  2 -2 13- -2  2
Curve Equation t Generators 19136m1 [0,0,0,-2224,13128] 2 [374:7176:1] 19136m2 [0,0,0,8356,102000] 2 [2946:58305:8]
19136n (1 curve)	1	2+ 13- 23-	2+  1  1 -1 -2 13-  7  0
Curve Equation t Generators 19136n1 [0,1,0,1215,-8929] 1 [109:1196:1]
19136o (1 curve)	1	2+ 13- 23-	2+  1  1 -1  6 13-  3  4
Curve Equation t Generators 19136o1 [0,1,0,255,-739489] 1 [28505:418876:125]
19136p (2 curves)	0	2- 13+ 23+	2-  0  0  0 -2 13+ -2 -6
Curve Equation t 19136p1 [0,0,0,-7180,-237552] 2 19136p2 [0,0,0,-115340,-15077104] 2
19136q (2 curves)	0	2- 13+ 23+	2-  0  2 -2  4 13+ -2  0
Curve Equation t 19136q1 [0,0,0,-4,-192] 2 19136q2 [0,0,0,-524,-4560] 2
19136r (1 curve)	0	2- 13+ 23+	2- -1  1  4 -1 13+  4 -1
Curve Equation t 19136r1 [0,-1,0,5,-7] 1
19136s (1 curve)	0	2- 13+ 23+	2-  3 -3  0 -5 13+ -2  3
Curve Equation t 19136s1 [0,0,0,-64,224] 1
19136t (1 curve)	0	2- 13+ 23+	2- -3  3 -3 -2 13+  1  6
Curve Equation t 19136t1 [0,0,0,2804,-259568] 1
19136u (2 curves)	1	2- 13+ 23-	2-  0  2  2 -4 13+ -2  0
Curve Equation t Generators 19136u1 [0,0,0,-4,192] 2 [-4:12:1] 19136u2 [0,0,0,-524,4560] 2 [48:300:1]
19136v (1 curve)	1	2- 13+ 23-	2-  1  1 -4  1 13+  4  1
Curve Equation t Generators 19136v1 [0,1,0,5,7] 1 [6:17:1]
19136w (2 curves)	1	2- 13- 23+	2-  0  2 -2  2 13- -2 -2
Curve Equation t Generators 19136w1 [0,0,0,-2224,-13128] 2 [94:780:1] 19136w2 [0,0,0,8356,-102000] 2 [38:520:1]
19136x (1 curve)	1	2- 13- 23+	2- -1  1  1  2 13-  7  0
Curve Equation t Generators 19136x1 [0,-1,0,1215,8929] 1 [21:208:1]
19136y (1 curve)	1	2- 13- 23+	2- -1  1  1 -6 13-  3 -4
Curve Equation t Generators 19136y1 [0,-1,0,255,739489] 1 [405:8192:1]
19136z (1 curve)	2	2- 13- 23-	2- -1 -3 -3  2 13- -1 -4
Curve Equation t Generators 19136z1 [0,-1,0,-897,11041] 1 [16:23:1]&[21:32:1]

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