Cremona's table of elliptic curves

3042 = 2 · 3² · 13²

Class	r	Atkin-Lehner	Eigenvalues
3042a (2 curves)	1	2+ 3+ 13+	2+ 3+ -2  2 -4 13+  0  6
Curve Equation t Generators 3042a1 [1,-1,0,-4848,-249040] 2 [92:232:1] 3042a2 [1,-1,0,-96108,-11437516] 2 [-182:118:1]
3042b (2 curves)	0	2+ 3- 13+	2+ 3-  1  4 -4 13+ -3  0
Curve Equation t 3042b1 [1,-1,0,1236,-72604] 1 3042b2 [1,-1,0,-591954,175511636] 1
3042c (1 curve)	0	2+ 3- 13+	2+ 3- -1  2  2 13+ -5  2
Curve Equation t 3042c1 [1,-1,0,-5355,5791189] 1
3042d (4 curves)	0	2+ 3- 13+	2+ 3-  2 -4 -4 13+ -2  8
Curve Equation t 3042d1 [1,-1,0,-29691,-41104283] 2 3042d2 [1,-1,0,-1976571,-1059322523] 4 3042d3 [1,-1,0,-31544811,-68185140971] 2 3042d4 [1,-1,0,-3558411,877166005] 2
3042e (2 curves)	0	2+ 3- 13+	2+ 3-  3 -2  6 13+  3 -2
Curve Equation t 3042e1 [1,-1,0,-558,-8748] 1 3042e2 [1,-1,0,4707,164997] 1
3042f (3 curves)	0	2+ 3- 13+	2+ 3- -3  1  6 13+  3 -2
Curve Equation t 3042f1 [1,-1,0,729,-12609] 1 3042f2 [1,-1,0,-6876,439128] 1 3042f3 [1,-1,0,-698931,225080181] 1
3042g (4 curves)	1	2+ 3- 13-	2+ 3- -2  2  0 13- -2 -6
Curve Equation t Generators 3042g1 [1,-1,0,73737,3172365] 2 [22:2181:1] 3042g2 [1,-1,0,-321723,26662689] 2 [-462:8979:1] 3042g3 [1,-1,0,-6747948,-6749406000] 2 [21855600150681704:-4065288538920295476:631407888539] 3042g4 [1,-1,0,-107985708,-431887255344] 2 [-311333112552:155192927028:51895117]
3042h (2 curves)	1	2+ 3- 13-	2+ 3-  3 -3  0 13-  3 -6
Curve Equation t Generators 3042h1 [1,-1,0,27,157] 1 [-3:8:1] 3042h2 [1,-1,0,-2898,-60332] 1 [231:3284:1]
3042i (2 curves)	0	2- 3+ 13+	2- 3+  2  2  4 13+  0  6
Curve Equation t 3042i1 [1,-1,1,-539,9403] 2 3042i2 [1,-1,1,-10679,427171] 2
3042j (1 curve)	1	2- 3- 13+	2- 3-  1 -2 -2 13+ -5 -2
Curve Equation t Generators 3042j1 [1,-1,1,-32,2643] 1 [23:-129:1]
3042k (2 curves)	1	2- 3- 13+	2- 3- -1 -1 -2 13+  3 -6
Curve Equation t Generators 3042k1 [1,-1,1,-4088,-152837] 1 [101:625:1] 3042k2 [1,-1,1,-323498,77783203] 1 [34310:8150791:1000]
3042l (2 curves)	1	2- 3- 13+	2- 3- -1 -4  4 13+ -3  0
Curve Equation t Generators 3042l1 [1,-1,1,7,-35] 1 [7:14:1] 3042l2 [1,-1,1,-3503,80695] 1 [19:134:1]
3042m (2 curves)	1	2- 3- 13+	2- 3- -3  2 -6 13+  3  2
Curve Equation t Generators 3042m1 [1,-1,1,-94334,-19502323] 1 [465:5851:1] 3042m2 [1,-1,1,795451,364884797] 3 [-129:16192:1]
3042n (4 curves)	0	2- 3- 13-	2- 3-  2 -2  0 13- -2  6
Curve Equation t 3042n1 [1,-1,1,436,1343] 2 3042n2 [1,-1,1,-1904,12575] 2 3042n3 [1,-1,1,-39929,-3062887] 2 3042n4 [1,-1,1,-638969,-196432999] 2
3042o (2 curves)	0	2- 3- 13-	2- 3- -3  3  0 13-  3  6
Curve Equation t 3042o1 [1,-1,1,4531,358557] 1 3042o2 [1,-1,1,-489794,-134018751] 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