Cremona's table of elliptic curves

1690 = 2 · 5 · 13²

Class	r	Atkin-Lehner	Eigenvalues
1690a (4 curves)	1	2+ 5+ 13+	2+  0 5+  0  0 13+  2  8
Curve Equation t Generators 1690a1 [1,-1,0,-1130,-5004] 2 [-28:78:1] 1690a2 [1,-1,0,-14650,-678300] 4 [-562:455:8] 1690a3 [1,-1,0,-234350,-43607680] 2 [1223004:20173639:1728] 1690a4 [1,-1,0,-11270,-1002104] 2 [868:24916:1]
1690b (2 curves)	1	2+ 5+ 13+	2+  0 5+  3  3 13+ -4 -7
Curve Equation t Generators 1690b1 [1,-1,0,-148160,35808800] 1 [-2266:60457:8] 1690b2 [1,-1,0,-13000610,-19499343980] 1 [681434914202069776718880577240578:-568945279770478043684663213608522541:978679125304605392399970776]
1690c (2 curves)	1	2+ 5+ 13+	2+ -2 5+ -1  3 13+ -6  5
Curve Equation t Generators 1690c1 [1,0,1,-1694,28056] 3 [0:167:1] 1690c2 [1,0,1,9291,45632] 1 [14:415:1]
1690d (2 curves)	0	2+ 5+ 13-	2+  2 5+  0  0 13-  6  0
Curve Equation t 1690d1 [1,1,0,-68,-112] 2 1690d2 [1,1,0,-588,5192] 2
1690e (2 curves)	0	2+ 5- 13+	2+  2 5-  4  2 13+  2 -6
Curve Equation t 1690e1 [1,1,0,-142132,-20681136] 2 1690e2 [1,1,0,-128612,-24756064] 2
1690f (4 curves)	0	2- 5+ 13+	2- -2 5+  4  6 13+ -6 -2
Curve Equation t 1690f1 [1,0,0,-5496,155440] 2 1690f2 [1,0,0,-2116,345396] 2 1690f3 [1,0,0,-35071,-2429415] 2 1690f4 [1,0,0,19009,-9232679] 2
1690g (2 curves)	1	2- 5- 13+	2-  0 5- -3 -3 13+ -4  7
Curve Equation t Generators 1690g1 [1,-1,1,-877,16501] 1 [-29:144:1] 1690g2 [1,-1,1,-76927,-8857689] 1 [2259:105366:1]
1690h (2 curves)	1	2- 5- 13+	2- -2 5-  1 -3 13+ -6 -5
Curve Equation t Generators 1690h1 [1,0,0,-10,12] 1 [2:0:1] 1690h2 [1,0,0,55,25] 1 [10:-45:1]
1690i (2 curves)	0	2- 5- 13-	2-  2 5-  0  0 13-  6  0
Curve Equation t 1690i1 [1,1,1,-11580,-188323] 2 1690i2 [1,1,1,-99460,11903965] 2

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