Cremona's table of elliptic curves

576 = 2⁶ · 3²

Class	r	Atkin-Lehner	Eigenvalues
576a (4 curves)	1	2+ 3+	2+ 3+  0 -4  0 -2  0 -8
Curve Equation t Generators 576a1 [0,0,0,0,8] 2 [1:3:1] 576a2 [0,0,0,-60,176] 2 [2:8:1] 576a3 [0,0,0,0,-216] 2 [10:28:1] 576a4 [0,0,0,-540,-4752] 2 [-14:8:1]
576b (4 curves)	0	2+ 3-	2+ 3-  2  4 -4  2  6 -4
Curve Equation t 576b1 [0,0,0,-39,-92] 2 576b2 [0,0,0,-84,160] 4 576b3 [0,0,0,-1164,15280] 2 576b4 [0,0,0,276,1168] 2
576c (4 curves)	0	2+ 3-	2+ 3-  2 -4  4  2  6  4
Curve Equation t 576c1 [0,0,0,-39,92] 2 576c2 [0,0,0,-84,-160] 4 576c3 [0,0,0,-1164,-15280] 2 576c4 [0,0,0,276,-1168] 2
576d (6 curves)	0	2+ 3-	2+ 3- -2  0  4  2 -2  4
Curve Equation t 576d1 [0,0,0,24,-56] 2 576d2 [0,0,0,-156,-560] 4 576d3 [0,0,0,-2316,-42896] 2 576d4 [0,0,0,-876,9520] 4 576d5 [0,0,0,-13836,626416] 2 576d6 [0,0,0,564,37744] 2
576e (4 curves)	0	2- 3+	2- 3+  0  4  0 -2  0  8
Curve Equation t 576e1 [0,0,0,0,-8] 2 576e2 [0,0,0,-60,-176] 2 576e3 [0,0,0,0,216] 2 576e4 [0,0,0,-540,4752] 2
576f (2 curves)	0	2- 3+	2- 3+  4  0  0  6 -8  0
Curve Equation t 576f1 [0,0,0,-3,0] 2 576f2 [0,0,0,12,0] 2
576g (2 curves)	0	2- 3+	2- 3+ -4  0  0  6  8  0
Curve Equation t 576g1 [0,0,0,-27,0] 2 576g2 [0,0,0,108,0] 2
576h (4 curves)	1	2- 3-	2- 3- -2  0  0 -6 -2  0
Curve Equation t Generators 576h1 [0,0,0,9,0] 2 [4:10:1] 576h2 [0,0,0,-36,0] 4 [-3:9:1] 576h3 [0,0,0,-396,-3024] 2 [-11:1:1] 576h4 [0,0,0,-396,3024] 2 [-6:72:1]
576i (6 curves)	1	2- 3-	2- 3- -2  0 -4  2 -2 -4
Curve Equation t Generators 576i1 [0,0,0,24,56] 2 [1:9:1] 576i2 [0,0,0,-156,560] 4 [-8:36:1] 576i3 [0,0,0,-876,-9520] 4 [-16:20:1] 576i4 [0,0,0,-2316,42896] 2 [10:144:1] 576i5 [0,0,0,-13836,-626416] 2 [157:1035:1] 576i6 [0,0,0,564,-37744] 2 [34:144:1]

Data from Elliptic Curve Data by J. E. Cremona.
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