Cremona's table of elliptic curves

12996 = 2² · 3² · 19²

Class	r	Atkin-Lehner	Eigenvalues
12996a (2 curves)	0	2- 3+ 19+	2- 3+  0 -1  0 -7  0 19+
Curve Equation t 12996a1 [0,0,0,0,130321] 3 12996a2 [0,0,0,0,-3518667] 1
12996b (2 curves)	0	2- 3+ 19+	2- 3+  0  5  0  5  0 19+
Curve Equation t 12996b1 [0,0,0,0,361] 3 12996b2 [0,0,0,0,-9747] 1
12996c (1 curve)	0	2- 3+ 19+	2- 3+  4 -3  4  5  0 19+
Curve Equation t 12996c1 [0,0,0,-493848,133579025] 1
12996d (1 curve)	0	2- 3+ 19+	2- 3+ -4 -3 -4  5  0 19+
Curve Equation t 12996d1 [0,0,0,-4444632,-3606633675] 1
12996e (2 curves)	1	2- 3+ 19-	2- 3+  0 -1  0  7  0 19-
Curve Equation t Generators 12996e1 [0,0,0,0,-19] 1 [7:18:1] 12996e2 [0,0,0,0,513] 1 [6:27:1]
12996f (4 curves)	1	2- 3+ 19-	2- 3+  0 -4  0 -2  0 19-
Curve Equation t Generators 12996f1 [0,0,0,0,-6859] 2 [1425:10108:27] 12996f2 [0,0,0,-5415,-150898] 2 [-16058:468:343] 12996f3 [0,0,0,0,185193] 2 [-38:361:1] 12996f4 [0,0,0,-48735,4074246] 2 [87:702:1]
12996g (2 curves)	1	2- 3+ 19-	2- 3+  0  5  0 -5  0 19-
Curve Equation t Generators 12996g1 [0,0,0,0,-2476099] 1 [5779165:750154068:343] 12996g2 [0,0,0,0,66854673] 1 [42:8181:1]
12996h (1 curve)	1	2- 3+ 19-	2- 3+  4 -3  4 -5  0 19-
Curve Equation t Generators 12996h1 [0,0,0,-1368,-19475] 1 [10855:89844:125]
12996i (1 curve)	1	2- 3+ 19-	2- 3+ -4 -3 -4 -5  0 19-
Curve Equation t Generators 12996i1 [0,0,0,-12312,525825] 1 [66:-27:1]
12996j (1 curve)	1	2- 3- 19+	2- 3-  1  0  4 -1 -3 19+
Curve Equation t Generators 12996j1 [0,0,0,-20577,-912247] 1 [-67:407:1]
12996k (1 curve)	1	2- 3- 19+	2- 3-  1  1 -1  4  3 19+
Curve Equation t Generators 12996k1 [0,0,0,-329232,-128757148] 1 [373996:9753498:343]
12996l (1 curve)	1	2- 3- 19+	2- 3-  1  1 -1 -4  3 19+
Curve Equation t Generators 12996l1 [0,0,0,-912,18772] 1 [-19:171:1]
12996m (1 curve)	0	2- 3- 19-	2- 3-  1  0  4  1 -3 19-
Curve Equation t 12996m1 [0,0,0,-57,133] 1
12996n (1 curve)	0	2- 3- 19-	2- 3-  1 -3 -5  4  3 19-
Curve Equation t 12996n1 [0,0,0,-69312,-7051052] 1
12996o (2 curves)	0	2- 3- 19-	2- 3- -2  0 -2 -2 -6 19-
Curve Equation t 12996o1 [0,0,0,8664,3504949] 2 12996o2 [0,0,0,-299991,60976510] 2
12996p (1 curve)	0	2- 3- 19-	2- 3-  3  1  5  6  5 19-
Curve Equation t 12996p1 [0,0,0,8664,1838212] 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