Cremona's table of elliptic curves

19344 = 2⁴ · 3 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
19344a (4 curves)	1	2+ 3+ 13+ 31+	2+ 3+ -2  0  4 13+ -2  8
Curve Equation t Generators 19344a1 [0,-1,0,-404,3264] 2 [21:60:1] 19344a2 [0,-1,0,-424,2944] 4 [-10:78:1] 19344a3 [0,-1,0,-1984,-30752] 2 [-22:42:1] 19344a4 [0,-1,0,816,15840] 2 [66:594:1]
19344b (1 curve)	1	2+ 3+ 13+ 31+	2+ 3+ -3 -3  0 13+  2 -3
Curve Equation t Generators 19344b1 [0,-1,0,-1912,-109121] 1 [67:243:1]
19344c (2 curves)	0	2+ 3+ 13+ 31-	2+ 3+  0 -4  6 13+  6  4
Curve Equation t 19344c1 [0,-1,0,-4083,108558] 2 19344c2 [0,-1,0,-66548,6629904] 2
19344d (1 curve)	0	2+ 3+ 13+ 31-	2+ 3+  3 -1  0 13+  0 -5
Curve Equation t 19344d1 [0,-1,0,3676,-33969] 1
19344e (1 curve)	1	2+ 3- 13+ 31-	2+ 3-  0 -2 -1 13+  4 -4
Curve Equation t Generators 19344e1 [0,1,0,4287,-97461] 1 [30:243:1]
19344f (2 curves)	1	2+ 3- 13+ 31-	2+ 3-  0  4  2 13+ -2 -4
Curve Equation t Generators 19344f1 [0,1,0,-703763,227007132] 2 [3578:11067:8] 19344f2 [0,1,0,-703628,227098716] 2 [550:2604:1]
19344g (1 curve)	1	2+ 3- 13+ 31-	2+ 3-  2  2 -5 13+  0 -6
Curve Equation t Generators 19344g1 [0,1,0,23,-13] 1 [14:57:1]
19344h (1 curve)	1	2+ 3- 13- 31+	2+ 3- -3  1  4 13- -2  1
Curve Equation t Generators 19344h1 [0,1,0,-52,-169] 1 [13:39:1]
19344i (1 curve)	0	2+ 3- 13- 31-	2+ 3-  4 -1  0 13-  5 -2
Curve Equation t 19344i1 [0,1,0,-47736,-4049868] 1
19344j (2 curves)	1	2- 3+ 13+ 31-	2- 3+  0  0 -2 13+  0  4
Curve Equation t Generators 19344j1 [0,-1,0,-53,1236] 2 [112:1178:1] 19344j2 [0,-1,0,-2068,36700] 2 [922:9177:8]
19344k (1 curve)	1	2- 3+ 13+ 31-	2- 3+  0  3  4 13+  3 -2
Curve Equation t Generators 19344k1 [0,-1,0,-8,4848] 1 [84:768:1]
19344l (1 curve)	1	2- 3+ 13+ 31-	2- 3+  1  3  0 13+ -2 -1
Curve Equation t Generators 19344l1 [0,-1,0,70,279] 1 [5:27:1]
19344m (3 curves)	1	2- 3+ 13- 31+	2- 3+  0  1  0 13-  3 -2
Curve Equation t Generators 19344m1 [0,-1,0,-98248,-11820560] 1 [269172:1057888:729] 19344m2 [0,-1,0,-48568,-23774864] 1 [9300:13312:27] 19344m3 [0,-1,0,435032,625255024] 1 [-4186242852:18287165440:6128487]
19344n (1 curve)	1	2- 3+ 13- 31+	2- 3+  0 -2  5 13-  4  8
Curve Equation t Generators 19344n1 [0,-1,0,4907,-20711] 1 [25:342:1]
19344o (1 curve)	1	2- 3+ 13- 31+	2- 3+ -2  2 -3 13-  0  2
Curve Equation t Generators 19344o1 [0,-1,0,-189,1233] 1 [21:78:1]
19344p (1 curve)	0	2- 3+ 13- 31-	2- 3+  0  2 -1 13- -4  0
Curve Equation t 19344p1 [0,-1,0,-213,-1251] 1
19344q (2 curves)	0	2- 3- 13+ 31-	2- 3-  2  4  4 13+  4 -4
Curve Equation t 19344q1 [0,1,0,-1017,48438] 2 19344q2 [0,1,0,-27212,1714440] 2
19344r (1 curve)	0	2- 3- 13- 31+	2- 3- -1  5  4 13- -4  5
Curve Equation t 19344r1 [0,1,0,474,-16209] 1
19344s (1 curve)	0	2- 3- 13- 31+	2- 3-  4 -3  4 13- -3 -6
Curve Equation t 19344s1 [0,1,0,-176,-1068] 1
19344t (1 curve)	1	2- 3- 13- 31-	2- 3-  2 -2 -1 13-  8 -6
Curve Equation t Generators 19344t1 [0,1,0,-7077,516627] 1 [-66:837:1]

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