Cremona's table of elliptic curves

4592 = 2⁴ · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
4592a (4 curves)	0	2+ 7+ 41-	2+  0 -2 7+  0  2  2  0
Curve Equation t 4592a1 [0,0,0,-671,-6690] 2 4592a2 [0,0,0,-691,-6270] 4 4592a3 [0,0,0,-2651,45866] 4 4592a4 [0,0,0,949,-31526] 2
4592b (1 curve)	2	2+ 7- 41+	2+ -1 -3 7- -6  0 -7  0
Curve Equation t Generators 4592b1 [0,-1,0,-112,416] 1 [-11:14:1]&[-4:28:1]
4592c (2 curves)	2	2- 7+ 41+	2-  0 -4 7+  2 -6 -6 -4
Curve Equation t Generators 4592c1 [0,0,0,53,-390] 2 [6:12:1]&[7:18:1] 4592c2 [0,0,0,-587,-4870] 2 [-17:14:1]&[-11:16:1]
4592d (2 curves)	0	2- 7+ 41+	2-  2  4 7+ -4  4 -2  6
Curve Equation t 4592d1 [0,-1,0,-506856,-336299152] 2 4592d2 [0,-1,0,-10992616,-14009730192] 2
4592e (2 curves)	0	2- 7+ 41+	2- -2  2 7+  2  4  6  6
Curve Equation t 4592e1 [0,1,0,-1352,-7820] 2 4592e2 [0,1,0,-11592,471412] 2
4592f (2 curves)	0	2- 7+ 41+	2-  3 -1 7+  2  0 -3  8
Curve Equation t 4592f1 [0,0,0,-309643,-61048006] 1 4592f2 [0,0,0,-153781003,734010288314] 1
4592g (1 curve)	2	2- 7+ 41+	2- -3 -1 7+ -4 -6  3 -4
Curve Equation t Generators 4592g1 [0,0,0,-643,6274] 1 [-15:112:1]&[7:46:1]
4592h (2 curves)	1	2- 7+ 41-	2-  1  1 7+ -2  4  3  0
Curve Equation t Generators 4592h1 [0,1,0,-2800,-56108] 1 [-33:38:1] 4592h2 [0,1,0,-252560,48769172] 1 [287:82:1]
4592i (2 curves)	1	2- 7+ 41-	2- -1 -3 7+  0  2 -3  4
Curve Equation t Generators 4592i1 [0,-1,0,-1272,-12176] 1 [124:-1312:1] 4592i2 [0,-1,0,-37352,2790256] 1 [164:1024:1]
4592j (1 curve)	1	2- 7- 41+	2-  1  1 7-  0  2 -5  4
Curve Equation t Generators 4592j1 [0,1,0,-40,52] 1 [6:8:1]
4592k (2 curves)	1	2- 7- 41+	2- -2 -2 7-  6 -4 -2 -2
Curve Equation t Generators 4592k1 [0,1,0,-32984,-2316524] 2 [-105:14:1] 4592k2 [0,1,0,-35544,-1938668] 2 [-132:686:1]
4592l (1 curve)	0	2- 7- 41-	2-  1 -1 7-  6 -4  7  0
Curve Equation t 4592l1 [0,1,0,-336,-364] 1

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