Cremona's table of elliptic curves

67335 = 3 · 5 · 67²

Class	r	Atkin-Lehner	Eigenvalues
67335a (2 curves)	1	3+ 5+ 67+	-1 3+ 5+ -4  0 -6 -8 -4
Curve Equation t Generators 67335a1 [1,1,1,-122830356,523889558244] 2 [6339:2970:1] 67335a2 [1,1,1,-115311281,590836394414] 2 [652238:-185043725:8]
67335b (1 curve)	1	3+ 5+ 67+	-2 3+ 5+  0 -6 -5 -4  4
Curve Equation t Generators 67335b1 [0,-1,1,-1303306,-609510144] 1 [14588:1756312:1]
67335c (1 curve)	1	3+ 5+ 67+	-2 3+ 5+ -2  0  2  7 -5
Curve Equation t Generators 67335c1 [0,-1,1,-33656,-2496844] 1 [313:4187:1]
67335d (2 curves)	0	3+ 5- 67+	1 3+ 5-  4  0  2  4  4
Curve Equation t 67335d1 [1,1,0,108,819] 2 67335d2 [1,1,0,-897,8256] 2
67335e (2 curves)	1	3+ 5- 67-	0 3+ 5- -2  6 -2 -3 -1
Curve Equation t Generators 67335e1 [0,-1,1,1071375,-65218894] 1 [637530:179986451:8] 67335e2 [0,-1,1,-13472985,21028830023] 1 [849:101002:1]
67335f (2 curves)	0	3- 5+ 67+	-1 3- 5+ -4  0 -2  4  4
Curve Equation t 67335f1 [1,0,0,482474,-232793869] 2 67335f2 [1,0,0,-4028971,-2595888760] 2
67335g (8 curves)	1	3- 5+ 67-	1 3- 5+  0  4  2  2  4
Curve Equation t Generators 67335g1 [1,0,1,-94,-56053] 2 [5129588072030813273309384038263:-80057219602926536427573184373908:22363127807051073824647462961] 67335g2 [1,0,1,-22539,-1286039] 4 [-3382767334188151:-3092410649384601:41024359272169] 67335g3 [1,0,1,-44984,1694657] 4 [-102097359:1786643494:753571] 67335g4 [1,0,1,-359214,-82896059] 2 [-457625681049476074642736385886002:233037333142511562484879815997093:1322451625089684346753929051528] 67335g5 [1,0,1,157021,12764531] 2 [24196063894617342:-1362495294322791803:251885163976264] 67335g6 [1,0,1,-606109,181479107] 4 [149023:79757:343] 67335g7 [1,0,1,-493884,250789267] 2 [123190:15209979:8] 67335g8 [1,0,1,-9696334,11620618247] 2 [6566274022:-3248058379:3652264]
67335h (2 curves)	1	3- 5+ 67-	-1 3- 5+  0  0 -4 -4  4
Curve Equation t Generators 67335h1 [1,0,0,-1335571,547309040] 2 [4796:320810:1] 67335h2 [1,0,0,1470054,2543230665] 2 [-1698:377925:8]
67335i (2 curves)	1	3- 5- 67+	1 3- 5-  4  0  6 -8 -4
Curve Equation t Generators 67335i1 [1,0,1,-27363,-1744319] 2 [5806:149049:8] 67335i2 [1,0,1,-25688,-1966759] 2 [175944:2707481:512]
67335j (1 curve)	1	3- 5- 67+	2 3- 5-  2  0 -2  7 -5
Curve Equation t Generators 67335j1 [0,1,1,-151083280,754282037809] 1 [-14966:8120597:8]
67335k (1 curve)	0	3- 5- 67-	2 3- 5-  0  6  5 -4  4
Curve Equation t 67335k1 [0,1,1,-290,1931] 1

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

Part of Computational Number Theory
Back to Tables and computations