Cremona's table of elliptic curves

2576 = 2⁴ · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
2576a (1 curve)	1	2+ 7+ 23+	2+ -1  0 7+  6 -3  0  0
Curve Equation t Generators 2576a1 [0,-1,0,-28,-49] 1 [7:7:1]
2576b (2 curves)	1	2+ 7+ 23+	2+  2  0 7+  0  0 -6 -6
Curve Equation t Generators 2576b1 [0,-1,0,4192,-16816] 2 [166:2286:1] 2576b2 [0,-1,0,-16968,-118384] 2 [-88:828:1]
2576c (2 curves)	1	2+ 7+ 23+	2+ -2  2 7+ -2  4 -2  0
Curve Equation t Generators 2576c1 [0,1,0,-2632,-52860] 2 [98:800:1] 2576c2 [0,1,0,-2672,-51212] 2 [-33:46:1]
2576d (2 curves)	0	2+ 7+ 23-	2+ -2  4 7+ -4 -2 -4  0
Curve Equation t 2576d1 [0,1,0,84,172] 2 2576d2 [0,1,0,-376,1092] 2
2576e (2 curves)	0	2+ 7- 23+	2+ -2  0 7- -4  6  0  0
Curve Equation t 2576e1 [0,1,0,-28,-84] 2 2576e2 [0,1,0,-488,-4316] 2
2576f (1 curve)	0	2+ 7- 23+	2+  3  0 7-  6  1  0  0
Curve Equation t 2576f1 [0,0,0,24425,37215701] 1
2576g (1 curve)	0	2+ 7- 23+	2+  3 -4 7- -2  5  0  4
Curve Equation t 2576g1 [0,0,0,53,5] 1
2576h (2 curves)	1	2+ 7- 23-	2+  0  2 7-  0 -4 -4  2
Curve Equation t Generators 2576h1 [0,0,0,-59,-198] 2 [11:22:1] 2576h2 [0,0,0,-979,-11790] 2 [103:990:1]
2576i (1 curve)	1	2+ 7- 23-	2+ -3  2 7- -2 -1  0 -2
Curve Equation t Generators 2576i1 [0,0,0,-8419,-301667] 1 [404:7889:1]
2576j (2 curves)	0	2- 7+ 23+	2-  0 -2 7+  4  4 -8  2
Curve Equation t 2576j1 [0,0,0,-131,-2686] 2 2576j2 [0,0,0,-3811,-90270] 2
2576k (2 curves)	2	2- 7+ 23+	2- -2 -2 7+ -6 -4 -2 -4
Curve Equation t Generators 2576k1 [0,1,0,-64,-204] 2 [-5:4:1]&[-4:2:1] 2576k2 [0,1,0,-224,1012] 2 [-14:40:1]&[-12:46:1]
2576l (4 curves)	1	2- 7+ 23-	2-  0  2 7+ -4  6 -2 -4
Curve Equation t Generators 2576l1 [0,0,0,-59,170] 2 [7:10:1] 2576l2 [0,0,0,-139,-390] 4 [15:30:1] 2576l3 [0,0,0,-1979,-33878] 2 [199:2730:1] 2576l4 [0,0,0,421,-2742] 4 [237:1090:27]
2576m (1 curve)	1	2- 7+ 23-	2-  1  0 7+  2 -3  0  0
Curve Equation t Generators 2576m1 [0,1,0,2,7] 1 [3:7:1]
2576n (2 curves)	1	2- 7+ 23-	2- -2  0 7+ -4  0  6  6
Curve Equation t Generators 2576n1 [0,1,0,552,-23276] 2 [23:46:1] 2576n2 [0,1,0,-9688,-346860] 2 [-68:46:1]
2576o (1 curve)	1	2- 7- 23+	2- -1 -2 7-  2 -1  0  6
Curve Equation t Generators 2576o1 [0,-1,0,6,43] 1 [1:7:1]
2576p (2 curves)	1	2- 7- 23+	2-  2 -2 7-  2 -4 -6  0
Curve Equation t Generators 2576p1 [0,-1,0,-224,-256] 2 [34:174:1] 2576p2 [0,-1,0,-2784,-55552] 2 [176:2208:1]

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