Cremona's table of elliptic curves

67575 = 3 · 5² · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
67575a (1 curve)	1	3+ 5+ 17+ 53+	-1 3+ 5+  3  4 -5 17+ -1
Curve Equation t Generators 67575a1 [1,1,1,-88,-94] 1 [10:7:1]
67575b (1 curve)	0	3+ 5+ 17+ 53-	1 3+ 5+  3  0 -3 17+  1
Curve Equation t 67575b1 [1,1,0,-1675,25750] 1
67575c (1 curve)	0	3+ 5+ 17+ 53-	1 3+ 5+ -3  0  3 17+ -5
Curve Equation t 67575c1 [1,1,0,-486950,-124242375] 1
67575d (1 curve)	0	3+ 5+ 17+ 53-	-2 3+ 5+  0  3  6 17+  4
Curve Equation t 67575d1 [0,-1,1,-3408,-75532] 1
67575e (2 curves)	1	3+ 5+ 17- 53-	0 3+ 5+  4  3  4 17-  2
Curve Equation t Generators 67575e1 [0,-1,1,3617,-271707] 1 [421434:3504959:5832] 67575e2 [0,-1,1,-232633,-43151082] 1 [20424:394174:27]
67575f (2 curves)	2	3+ 5- 17- 53-	-1 3+ 5- -2  0  0 17-  0
Curve Equation t Generators 67575f1 [1,1,1,-39763,-3068344] 2 [-116:63:1]&[-922:525:8] 67575f2 [1,1,1,-37888,-3368344] 2 [259:1938:1]&[454:8332:1]
67575g (1 curve)	2	3- 5+ 17+ 53+	-1 3- 5+  1  0 -5 17+ -3
Curve Equation t Generators 67575g1 [1,0,0,-32513,2253642] 1 [157:934:1]&[31:1114:1]
67575h (2 curves)	1	3- 5+ 17- 53+	-1 3- 5+ -2  4 -2 17-  2
Curve Equation t Generators 67575h1 [1,0,0,-33813,2059992] 2 [-153:1989:1] 67575h2 [1,0,0,57312,11263617] 2 [81:-4095:1]
67575i (1 curve)	0	3- 5+ 17- 53-	1 3- 5+  1  0  1 17-  3
Curve Equation t 67575i1 [1,0,1,-25776,1586323] 1
67575j (2 curves)	0	3- 5+ 17- 53-	1 3- 5+ -2  6 -2 17-  0
Curve Equation t 67575j1 [1,0,1,-5751,-357227] 2 67575j2 [1,0,1,-118376,-15674227] 2
67575k (2 curves)	1	3- 5- 17+ 53+	1 3- 5-  2  0  0 17+  0
Curve Equation t Generators 67575k1 [1,0,1,-1591,-24547] 2 [4886:118063:8] 67575k2 [1,0,1,-1516,-26947] 2 [10734126:-270146209:17576]

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

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