Cremona's table of elliptic curves

57475 = 5² · 11² · 19

Class	r	Atkin-Lehner	Eigenvalues
57475a (2 curves)	1	5+ 11+ 19+	1  0 5+ -2 11+ -2 -6 19+
Curve Equation t Generators 57475a1 [1,-1,0,-11567,-460784] 2 [300:4646:1] 57475a2 [1,-1,0,-183442,-30195159] 2 [31700:17831:64]
57475b (2 curves)	1	5+ 11+ 19+	1 -2 5+  0 11+  2  0 19+
Curve Equation t Generators 57475b1 [1,0,1,-340376,-76196727] 2 [-333:666:1] 57475b2 [1,0,1,-506751,5992523] 2 [10646:323423:8]
57475c (1 curve)	1	5+ 11+ 19+	-2  3 5+ -2 11+ -2 -6 19+
Curve Equation t Generators 57475c1 [0,0,1,33275,-5032844] 1 [33033:1166608:27]
57475d (2 curves)	0	5+ 11+ 19-	-1  0 5+  2 11+  2  6 19-
Curve Equation t 57475d1 [1,-1,1,-1399630,617502372] 2 57475d2 [1,-1,1,-22196505,40256346122] 2
57475e (2 curves)	2	5+ 11+ 19-	-1 -2 5+  0 11+ -2  0 19-
Curve Equation t Generators 57475e1 [1,0,0,-2813,56992] 2 [37:-81:1]&[43:105:1] 57475e2 [1,0,0,-4188,-4883] 2 [-53:289:1]&[-33:329:1]
57475f (1 curve)	0	5+ 11+ 19-	2  3 5+  2 11+  2  6 19-
Curve Equation t 57475f1 [0,0,1,275,3781] 1
57475g (2 curves)	0	5+ 11- 19+	0 -1 5+ -4 11-  2  0 19+
Curve Equation t 57475g1 [0,-1,1,-82683,-10674357] 1 57475g2 [0,-1,1,582817,61698768] 1
57475h (3 curves)	0	5+ 11- 19+	0  2 5+ -1 11- -4 -3 19+
Curve Equation t 57475h1 [0,-1,1,2017,868] 1 57475h2 [0,-1,1,-28233,1951993] 1 57475h3 [0,-1,1,-2327233,1367270618] 1
57475i (4 curves)	0	5+ 11- 19+	1  0 5+  0 11-  2 -6 19+
Curve Equation t 57475i1 [1,-1,0,-2971787792,62356248560491] 2 57475i2 [1,-1,0,-2971802917,62355582107616] 4 57475i3 [1,-1,0,-2868060542,66910806051491] 2 57475i4 [1,-1,0,-3075787292,57757704998241] 2
57475j (2 curves)	1	5+ 11- 19-	-1  2 5+ -2 11-  6  0 19-
Curve Equation t Generators 57475j1 [1,1,1,-18213,740906] 2 [204:2257:1] 57475j2 [1,1,1,-93838,-10451594] 2 [9633:29776:27]
57475k (2 curves)	1	5- 11- 19+	1  0 5- -2 11-  2 -4 19+
Curve Equation t Generators 57475k1 [1,-1,0,38,-3129] 2 [30:141:1] 57475k2 [1,-1,0,-2987,-60604] 2 [-32:54:1]
57475l (2 curves)	1	5- 11- 19+	-1  0 5-  2 11- -2  4 19+
Curve Equation t Generators 57475l1 [1,-1,1,945,-390178] 2 [910:26993:1] 57475l2 [1,-1,1,-74680,-7650178] 2 [-142:346:1]

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

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