Cremona's table of elliptic curves

34645 = 5 · 13² · 41

Class	r	Atkin-Lehner	Eigenvalues
34645a (1 curve)	1	5+ 13+ 41+	0  1 5+ -4 -4 13+ -1  6
Curve Equation t Generators 34645a1 [0,1,1,-121,-555] 1 [-54:-3:8]
34645b (4 curves)	1	5+ 13+ 41+	1  0 5+  4  0 13+ -6  0
Curve Equation t Generators 34645b1 [1,-1,0,-3665,86256] 2 [238:311:8] 34645b2 [1,-1,0,-4510,44175] 4 [2710:177439:1000] 34645b3 [1,-1,0,16615,327250] 2 [2350:112900:1] 34645b4 [1,-1,0,-39155,-2942224] 2 [60363480177972:-1418382513423361:100155921984]
34645c (2 curves)	0	5+ 13+ 41-	-1  2 5+ -2  0 13+  4  0
Curve Equation t 34645c1 [1,1,1,-426,-226] 2 34645c2 [1,1,1,-4651,119764] 2
34645d (1 curve)	0	5+ 13+ 41-	2  1 5+ -4 -2 13+  7  0
Curve Equation t 34645d1 [0,1,1,-5126,-141605] 1
34645e (1 curve)	0	5+ 13+ 41-	-2  3 5+ -4 -6 13+  5  4
Curve Equation t 34645e1 [0,0,1,-1183,5788] 1
34645f (1 curve)	0	5- 13+ 41+	1 -1 5-  4  6 13+  8 -6
Curve Equation t 34645f1 [1,1,0,-22987,1341254] 1
34645g (2 curves)	0	5- 13+ 41+	1  2 5-  2 -6 13+ -6 -2
Curve Equation t 34645g1 [1,1,0,-15247352,22909697699] 2 34645g2 [1,1,0,-15246507,22912365026] 2
34645h (2 curves)	0	5- 13+ 41+	1  2 5- -2 -6 13+  2  6
Curve Equation t 34645h1 [1,1,0,-3552,-82909] 2 34645h2 [1,1,0,-2707,-122286] 2
34645i (2 curves)	0	5- 13+ 41+	1 -2 5- -2  2 13+ -2  6
Curve Equation t 34645i1 [1,0,1,-22988,1321413] 2 34645i2 [1,0,1,-1863,3662063] 2
34645j (2 curves)	0	5- 13+ 41+	1 -2 5- -2 -2 13+  2 -6
Curve Equation t 34645j1 [1,0,1,-40974223,-100954992747] 2 34645j2 [1,0,1,-40446098,-103683920247] 2
34645k (2 curves)	2	5- 13+ 41+	-1  0 5- -2  0 13+  2 -4
Curve Equation t Generators 34645k1 [1,-1,1,-9327,-344314] 2 [-56:29:1]&[34158:1193843:27] 34645k2 [1,-1,1,-8482,-409886] 2 [244:-3587:1]&[5054:356682:1]
34645l (1 curve)	0	5- 13+ 41+	2  3 5-  4  6 13+  5 -4
Curve Equation t 34645l1 [0,0,1,-199927,12716785] 1
34645m (1 curve)	0	5- 13+ 41+	-2  1 5-  4  2 13+  7  0
Curve Equation t 34645m1 [0,1,1,-30,-74] 1
34645n (1 curve)	1	5- 13+ 41-	0  1 5-  4  4 13+ -1 -6
Curve Equation t Generators 34645n1 [0,1,1,-20505,-1136846] 1 [-766122:109360:9261]

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