Cremona's table of elliptic curves

1176 = 2³ · 3 · 7²

Class	r	Atkin-Lehner	Eigenvalues
1176a (1 curve)	1	2+ 3+ 7+	2+ 3+  2 7+ -6 -3  4 -5
Curve Equation t Generators 1176a1 [0,-1,0,-457,-10163] 1 [33:98:1]
1176b (1 curve)	0	2+ 3+ 7-	2+ 3+  1 7-  3 -4  0  4
Curve Equation t 1176b1 [0,-1,0,40,204] 1
1176c (4 curves)	0	2+ 3+ 7-	2+ 3+ -2 7-  0  2 -6  4
Curve Equation t 1176c1 [0,-1,0,-359,2724] 4 1176c2 [0,-1,0,-604,-1196] 4 1176c3 [0,-1,0,-7464,-245412] 2 1176c4 [0,-1,0,2336,-11780] 2
1176d (1 curve)	0	2+ 3- 7+	2+ 3- -1 7+  3  4  0 -4
Curve Equation t 1176d1 [0,1,0,1944,-73872] 1
1176e (4 curves)	1	2+ 3- 7-	2+ 3- -2 7-  0 -6  2 -4
Curve Equation t Generators 1176e1 [0,1,0,-359,-17130] 2 [37:147:1] 1176e2 [0,1,0,-12364,-530944] 4 [-64:48:1] 1176e3 [0,1,0,-197584,-33870544] 2 [527:2940:1] 1176e4 [0,1,0,-19224,116640] 4 [-117:882:1]
1176f (1 curve)	1	2+ 3- 7-	2+ 3- -2 7- -6  3 -4  5
Curve Equation t Generators 1176f1 [0,1,0,-9,27] 1 [3:-6:1]
1176g (2 curves)	1	2- 3+ 7-	2- 3+  0 7-  0 -4 -4  4
Curve Equation t Generators 1176g1 [0,-1,0,12,36] 2 [0:6:1] 1176g2 [0,-1,0,-128,540] 2 [-2:28:1]
1176h (2 curves)	0	2- 3- 7-	2- 3-  0 7-  0  4  4 -4
Curve Equation t 1176h1 [0,1,0,572,-13504] 2 1176h2 [0,1,0,-6288,-172656] 2
1176i (6 curves)	0	2- 3- 7-	2- 3-  2 7-  4  2 -2  4
Curve Equation t 1176i1 [0,1,0,33,-78] 2 1176i2 [0,1,0,-212,-960] 4 1176i3 [0,1,0,-3152,-69168] 2 1176i4 [0,1,0,-1192,14720] 4 1176i5 [0,1,0,-18832,988448] 2 1176i6 [0,1,0,768,60192] 2

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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