Cremona's table of elliptic curves

1274 = 2 · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
1274a (1 curve)	1	2+ 7+ 13+	2+  0  0 7+  1 13+ -1  5
Curve Equation t Generators 1274a1 [1,-1,0,-107,-6651] 1 [86:741:1]
1274b (1 curve)	0	2+ 7- 13+	2+  1 -2 7-  1 13+  4  4
Curve Equation t 1274b1 [1,0,1,-222,-3384] 1
1274c (3 curves)	0	2+ 7- 13+	2+ -1  3 7-  6 13+  3 -2
Curve Equation t 1274c1 [1,1,0,24,-62] 1 1274c2 [1,1,0,-221,2437] 1 1274c3 [1,1,0,-22516,1291088] 1
1274d (1 curve)	0	2+ 7- 13+	2+ -1 -4 7- -1 13+ -4 -2
Curve Equation t 1274d1 [1,1,0,-225817,-41469595] 1
1274e (1 curve)	1	2+ 7- 13-	2+  0  0 7-  1 13-  1 -5
Curve Equation t Generators 1274e1 [1,-1,0,-2,20] 1 [4:6:1]
1274f (1 curve)	1	2+ 7- 13-	2+ -1  2 7-  1 13- -4 -4
Curve Equation t Generators 1274f1 [1,1,0,-4,8] 1 [-1:4:1]
1274g (1 curve)	1	2+ 7- 13-	2+ -3  0 7- -5 13-  4 -2
Curve Equation t Generators 1274g1 [1,-1,0,-1087,-301043] 1 [261:4010:1]
1274h (1 curve)	1	2- 7- 13+	2-  1 -2 7- -5 13+ -8 -8
Curve Equation t Generators 1274h1 [1,0,0,-2024,34880] 1 [32:-72:1]
1274i (3 curves)	1	2- 7- 13+	2- -1  0 7- -3 13+  0 -2
Curve Equation t Generators 1274i1 [1,1,1,342,2743] 1 [-1:49:1] 1274i2 [1,1,1,-9458,352407] 1 [27:329:1] 1274i3 [1,1,1,-767488,258474999] 1 [4038:-1827:8]
1274j (2 curves)	1	2- 7- 13+	2- -2 -2 7-  4 13+  4 -2
Curve Equation t Generators 1274j1 [1,0,0,6,-92] 2 [6:10:1] 1274j2 [1,0,0,-274,-1716] 2 [-10:12:1]
1274k (4 curves)	0	2- 7- 13-	2-  0 -2 7-  4 13-  6  0
Curve Equation t 1274k1 [1,-1,1,42449,-2295625] 4 1274k2 [1,-1,1,-208431,-20057929] 4 1274k3 [1,-1,1,-2897551,-1897063689] 2 1274k4 [1,-1,1,-1533391,717149815] 2
1274l (1 curve)	0	2- 7- 13-	2- -1  2 7- -5 13-  8  8
Curve Equation t 1274l1 [1,1,1,-99177,-12063017] 1
1274m (2 curves)	0	2- 7- 13-	2-  2  2 7-  4 13- -4  2
Curve Equation t 1274m1 [1,1,1,293,31849] 2 1274m2 [1,1,1,-13427,575161] 2
1274n (2 curves)	0	2- 7- 13-	2-  3  1 7- -2 13-  3 -6
Curve Equation t 1274n1 [1,-1,1,-132,-857] 1 1274n2 [1,-1,1,-10422,451903] 1
1274o (1 curve)	0	2- 7- 13-	2- -3  4 7-  1 13-  0  6
Curve Equation t 1274o1 [1,-1,1,162,1299] 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
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