Cremona's table of elliptic curves

9078 = 2 · 3 · 17 · 89

Class	r	Atkin-Lehner	Eigenvalues
9078a (2 curves)	2	2+ 3+ 17- 89+	2+ 3+  0 -4 -4  0 17-  0
Curve Equation t Generators 9078a1 [1,1,0,-25,-47] 2 [-4:5:1]&[-3:5:1] 9078a2 [1,1,0,65,-209] 2 [7:22:1]&[15:59:1]
9078b (2 curves)	1	2+ 3- 17+ 89-	2+ 3-  0  0  6 -4 17+  2
Curve Equation t Generators 9078b1 [1,0,1,-86,20] 2 [-9:13:1] 9078b2 [1,0,1,-896,-10348] 2 [-18:13:1]
9078c (4 curves)	1	2+ 3- 17- 89+	2+ 3-  0 -4  0 -4 17-  8
Curve Equation t Generators 9078c1 [1,0,1,-7166,141104] 6 [12:232:1] 9078c2 [1,0,1,21994,1004240] 6 [660:17080:1] 9078c3 [1,0,1,-248141,-47591224] 2 [260645:4753986:343] 9078c4 [1,0,1,-225101,-56779576] 2 [259132370:-5034832671:343000]
9078d (2 curves)	1	2+ 3- 17- 89+	2+ 3- -2  2 -4  4 17-  2
Curve Equation t Generators 9078d1 [1,0,1,-332,650] 2 [-15:55:1] 9078d2 [1,0,1,-3052,-64630] 2 [-32:38:1]
9078e (2 curves)	0	2- 3+ 17+ 89+	2- 3+  0  2  2  2 17+  4
Curve Equation t 9078e1 [1,1,1,-88,-43] 2 9078e2 [1,1,1,-978,-12147] 2
9078f (4 curves)	2	2- 3+ 17- 89-	2- 3+ -2 -4 -4 -6 17- -4
Curve Equation t Generators 9078f1 [1,1,1,-5164,138701] 4 [-83:105:1]&[-55:537:1] 9078f2 [1,1,1,-10284,-188979] 4 [-87:281:1]&[-69:479:1] 9078f3 [1,1,1,-138444,-19874355] 2 [-215:209:1]&[-213:191:1] 9078f4 [1,1,1,35956,-1372723] 2 [49:689:1]&[59:949:1]
9078g (4 curves)	1	2- 3- 17+ 89+	2- 3-  0  2 -6  2 17+ -4
Curve Equation t Generators 9078g1 [1,0,0,-203408,34672896] 6 [-512:2416:1] 9078g2 [1,0,0,-431248,-57237760] 6 [-196:4544:1] 9078g3 [1,0,0,-1888208,-984050496] 2 [-866:1798:1] 9078g4 [1,0,0,-30086968,-63523260424] 2 [-135825410:64375912:42875]
9078h (2 curves)	0	2- 3- 17+ 89-	2- 3-  2 -2  4  4 17+  4
Curve Equation t 9078h1 [1,0,0,-4812,-128880] 2 9078h2 [1,0,0,-4652,-137808] 2
9078i (2 curves)	0	2- 3- 17+ 89-	2- 3-  2 -2 -4 -4 17+  4
Curve Equation t 9078i1 [1,0,0,-4822,128480] 2 9078i2 [1,0,0,-4812,129042] 2
9078j (2 curves)	0	2- 3- 17+ 89-	2- 3- -2  2  4  4 17+  8
Curve Equation t 9078j1 [1,0,0,-1159,-13531] 2 9078j2 [1,0,0,1731,-69597] 2
9078k (4 curves)	1	2- 3- 17- 89-	2- 3- -2  0  0 -2 17- -4
Curve Equation t Generators 9078k1 [1,0,0,-289,1865] 2 [2:35:1] 9078k2 [1,0,0,-369,729] 4 [-16:59:1] 9078k3 [1,0,0,-3429,-76995] 2 [-34:41:1] 9078k4 [1,0,0,1411,6069] 4 [178:2341:1]

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