Cremona's table of elliptic curves

1078 = 2 · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
1078a (2 curves)	1	2+ 7+ 11+	2+  1  0 7+ 11+ -1 -6  2
Curve Equation t Generators 1078a1 [1,0,1,-26,46] 3 [-2:10:1] 1078a2 [1,0,1,-271,-1718] 1 [-10:8:1]
1078b (1 curve)	1	2+ 7+ 11+	2+ -3 -4 7+ 11+ -1  2  6
Curve Equation t Generators 1078b1 [1,-1,0,-30634,-2056076] 1 [-101:53:1]
1078c (2 curves)	0	2+ 7- 11+	2+  0  4 7- 11+ -2  4  6
Curve Equation t 1078c1 [1,-1,0,-1430,-20812] 2 1078c2 [1,-1,0,-22990,-1335972] 2
1078d (2 curves)	0	2+ 7- 11+	2+ -1  0 7- 11+  1  6 -2
Curve Equation t 1078d1 [1,1,0,-1250,-17114] 1 1078d2 [1,1,0,-13255,575933] 1
1078e (1 curve)	0	2+ 7- 11+	2+  3  4 7- 11+  1 -2 -6
Curve Equation t 1078e1 [1,-1,0,-625,6173] 1
1078f (2 curves)	1	2+ 7- 11-	2+ -2 -2 7- 11-  4  0 -4
Curve Equation t Generators 1078f1 [1,0,1,-712,7494] 2 [-3:99:1] 1078f2 [1,0,1,-11492,473190] 2 [60:-6:1]
1078g (2 curves)	0	2- 7+ 11+	2-  1  0 7+ 11+  5  6  2
Curve Equation t 1078g1 [1,0,0,-3823,-59207] 3 1078g2 [1,0,0,-278223,-56508775] 1
1078h (1 curve)	0	2- 7+ 11+	2-  3  2 7+ 11+ -7  2  0
Curve Equation t 1078h1 [1,-1,1,-279,1495] 1
1078i (4 curves)	1	2- 7- 11+	2-  0 -2 7- 11+ -2 -2  0
Curve Equation t Generators 1078i1 [1,-1,1,-181,30797] 4 [-1:176:1] 1078i2 [1,-1,1,-15861,764621] 4 [-19:1038:1] 1078i3 [1,-1,1,-29581,-744579] 2 [-47:758:1] 1078i4 [1,-1,1,-253021,49050397] 2 [205:2298:1]
1078j (2 curves)	1	2- 7- 11+	2- -1  0 7- 11+ -5 -6 -2
Curve Equation t Generators 1078j1 [1,1,1,-78,139] 1 [1:7:1] 1078j2 [1,1,1,-5678,162315] 1 [43:-21:1]
1078k (1 curve)	1	2- 7- 11+	2- -3 -2 7- 11+  7 -2  0
Curve Equation t Generators 1078k1 [1,-1,1,-6,-3] 1 [-1:1:1]
1078l (2 curves)	0	2- 7- 11-	2-  2  2 7- 11- -2  0  2
Curve Equation t 1078l1 [1,1,1,13,13] 2 1078l2 [1,1,1,-57,41] 2
1078m (2 curves)	0	2- 7- 11-	2- -2 -2 7- 11-  2  0 -2
Curve Equation t 1078m1 [1,0,0,636,-2612] 2 1078m2 [1,0,0,-2794,-22506] 2

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

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