Cremona's table of elliptic curves

1278 = 2 · 3² · 71

Class	r	Atkin-Lehner	Eigenvalues
1278a (1 curve)	1	2+ 3+ 71+	2+ 3+  1 -1  1 -6  6 -7
Curve Equation t Generators 1278a1 [1,-1,0,-1959,-33283] 1 [67:331:1]
1278b (1 curve)	1	2+ 3+ 71+	2+ 3+  1 -3  3 -2 -6  1
Curve Equation t Generators 1278b1 [1,-1,0,6,-4] 1 [1:1:1]
1278c (2 curves)	0	2+ 3- 71+	2+ 3- -1  3  3 -6  2  5
Curve Equation t 1278c1 [1,-1,0,-180,-1296] 1 1278c2 [1,-1,0,-2070,140454] 1
1278d (1 curve)	0	2+ 3- 71+	2+ 3-  4 -3  0  1  0 -5
Curve Equation t 1278d1 [1,-1,0,-105,-307] 1
1278e (2 curves)	1	2+ 3- 71-	2+ 3-  0 -1  0 -1  0 -1
Curve Equation t Generators 1278e1 [1,-1,0,-72,-216] 1 [-5:3:1] 1278e2 [1,-1,0,-522,4590] 3 [-23:75:1]
1278f (1 curve)	1	2- 3+ 71-	2- 3+ -1 -1 -1 -6 -6 -7
Curve Equation t Generators 1278f1 [1,-1,1,-218,1305] 1 [17:-57:1]
1278g (1 curve)	1	2- 3+ 71-	2- 3+ -1 -3 -3 -2  6  1
Curve Equation t Generators 1278g1 [1,-1,1,52,55] 1 [7:23:1]
1278h (2 curves)	1	2- 3- 71+	2- 3- -2  0 -6  4 -6 -8
Curve Equation t Generators 1278h1 [1,-1,1,-11,91] 2 [1:8:1] 1278h2 [1,-1,1,-371,2827] 2 [-7:74:1]
1278i (1 curve)	1	2- 3- 71+	2- 3- -2 -3  6 -5 -6  1
Curve Equation t Generators 1278i1 [1,-1,1,-23636,-1386953] 1 [-91:109:1]
1278j (1 curve)	0	2- 3- 71-	2- 3-  2 -1  2 -3  6  5
Curve Equation t 1278j1 [1,-1,1,-14,15] 1
1278k (2 curves)	0	2- 3- 71-	2- 3-  2  2  2  0  0 -4
Curve Equation t 1278k1 [1,-1,1,-2579,-50637] 2 1278k2 [1,-1,1,-41459,-3238797] 2
1278l (2 curves)	0	2- 3- 71-	2- 3- -3 -1 -3  2  6  5
Curve Equation t 1278l1 [1,-1,1,-207059,-36225421] 1 1278l2 [1,-1,1,131926,-139167511] 3

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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