Cremona's table of elliptic curves

1734 = 2 · 3 · 17²

Class	r	Atkin-Lehner	Eigenvalues
1734a (2 curves)	1	2+ 3+ 17+	2+ 3+  0  1  0 -1 17+ -7
Curve Equation t Generators 1734a1 [1,1,0,20,16] 1 [0:4:1] 1734a2 [1,1,0,-235,-1667] 1 [102:973:1]
1734b (4 curves)	1	2+ 3+ 17+	2+ 3+  0 -2  0  2 17+ -4
Curve Equation t Generators 1734b1 [1,1,0,-73845,7690221] 2 [-135:3969:1] 1734b2 [1,1,0,-62285,10194117] 2 [-127:4073:1] 1734b3 [1,1,0,-216900,-29485872] 2 [1896:78924:1] 1734b4 [1,1,0,522940,-186183984] 2 [14590:654223:8]
1734c (4 curves)	1	2+ 3+ 17+	2+ 3+  2  2  0 -6 17+  0
Curve Equation t Generators 1734c1 [1,1,0,-184,832] 2 [1:25:1] 1734c2 [1,1,0,-2904,59040] 2 [33:6:1] 1734c3 [1,1,0,-20924,-1173732] 2 [254:3032:1] 1734c4 [1,1,0,-21094,-1153910] 2 [885:25525:1]
1734d (1 curve)	0	2+ 3+ 17-	2+ 3+ -1  4 -3  6 17-  4
Curve Equation t 1734d1 [1,1,0,717,-78099] 1
1734e (1 curve)	0	2+ 3- 17+	2+ 3-  1 -4  3  6 17+  4
Curve Equation t 1734e1 [1,0,1,2,-16] 1
1734f (4 curves)	0	2+ 3- 17+	2+ 3- -2 -2  0 -6 17+  0
Curve Equation t 1734f1 [1,0,1,-53327,4460546] 2 1734f2 [1,0,1,-839407,295939010] 2 1734f3 [1,0,1,-6047187,-5724215366] 2 1734f4 [1,0,1,-6096317,-5626485970] 2
1734g (2 curves)	0	2+ 3- 17+	2+ 3-  4  2  0 -6 17+  4
Curve Equation t 1734g1 [1,0,1,-729,4744] 2 1734g2 [1,0,1,2161,33644] 2
1734h (2 curves)	1	2+ 3- 17-	2+ 3-  0 -1  0 -1 17- -7
Curve Equation t Generators 1734h1 [1,0,1,5629,38846] 3 [39:544:1] 1734h2 [1,0,1,-68066,-7713868] 1 [545305:35678901:125]
1734i (6 curves)	0	2- 3+ 17+	2- 3+  2  0  4 -2 17+  4
Curve Equation t 1734i1 [1,1,1,-9832,343913] 4 1734i2 [1,1,1,-32952,-1912599] 4 1734i3 [1,1,1,-501132,-136748439] 4 1734i4 [1,1,1,65308,-11031127] 2 1734i5 [1,1,1,-8018022,-8742084111] 2 1734i6 [1,1,1,-475122,-151542927] 2
1734j (2 curves)	0	2- 3+ 17+	2- 3+  3  4 -3  2 17+  8
Curve Equation t 1734j1 [1,1,1,-1604,-25531] 1 1734j2 [1,1,1,-130124,-18121147] 1
1734k (1 curve)	0	2- 3+ 17+	2- 3+ -4 -3  4 -5 17+  1
Curve Equation t 1734k1 [1,1,1,-1740,237561] 1
1734l (2 curves)	0	2- 3- 17-	2- 3- -3 -4  3  2 17-  8
Curve Equation t 1734l1 [1,0,0,-463562,-122187996] 3 1734l2 [1,0,0,-37605842,-88765953444] 1
1734m (1 curve)	0	2- 3- 17-	2- 3-  4  3 -4 -5 17-  1
Curve Equation t 1734m1 [1,0,0,-6,48] 1

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