Cremona's table of elliptic curves

109005 = 3 · 5 · 13² · 43

Class	r	Atkin-Lehner	Eigenvalues
109005a (2 curves)	1	3+ 5+ 13+ 43+	-1 3+ 5+ -4  2 13+  0 -6
Curve Equation t Generators 109005a1 [1,1,1,-3806,86978] 2 [-34:439:1] 109005a2 [1,1,1,419,274568] 2 [-21:517:1]
109005b (1 curve)	1	3+ 5+ 13+ 43+	2 3+ 5+ -4 -1 13+ -3  0
Curve Equation t Generators 109005b1 [0,-1,1,-3042056,-2041189369] 1 [1002963611487170444:66485177843382086791:197666249699008]
109005c (1 curve)	1	3+ 5+ 13+ 43+	-2 3+ 5+  0 -5 13+  5 -4
Curve Equation t Generators 109005c1 [0,-1,1,-2835876,1867757816] 1 [993:5467:1]
109005d (2 curves)	1	3+ 5+ 13- 43-	1 3+ 5+ -4 -6 13- -2 -8
Curve Equation t Generators 109005d1 [1,1,0,-298288,-193333733] 2 [10746:1107127:1] 109005d2 [1,1,0,-7163913,-7370658108] 2 [-1504:2902:1]
109005e (2 curves)	0	3+ 5- 13+ 43+	1 3+ 5- -2 -2 13+  6 -2
Curve Equation t 109005e1 [1,1,0,-11479497,14803824456] 2 109005e2 [1,1,0,-183120122,953712371331] 2
109005f (4 curves)	0	3+ 5- 13+ 43+	-1 3+ 5-  0  0 13+  2 -4
Curve Equation t 109005f1 [1,1,1,-17495,4762532] 4 109005f2 [1,1,1,-545620,154327532] 4 109005f3 [1,1,1,-820245,-17807418] 2 109005f4 [1,1,1,-8720995,9909184982] 2
109005g (4 curves)	1	3+ 5- 13+ 43-	-1 3+ 5-  0 -4 13+ -2  0
Curve Equation t Generators 109005g1 [1,1,1,250,13970] 2 [60:469:1] 109005g2 [1,1,1,-7355,229952] 4 [30:178:1] 109005g3 [1,1,1,-20030,-794188] 2 [265:3416:1] 109005g4 [1,1,1,-116360,15229040] 2 [200:-185:1]
109005h (4 curves)	1	3+ 5- 13+ 43-	-1 3+ 5-  4  4 13+ -6 -8
Curve Equation t Generators 109005h1 [1,1,1,-73265,19805222] 4 [3610:214568:1] 109005h2 [1,1,1,-1635670,803507570] 4 [710:495:1] 109005h3 [1,1,1,-2108025,301110792] 2 [-1438:19731:1] 109005h4 [1,1,1,-26161795,51494102720] 2 [2152665:-1092545:729]
109005i (2 curves)	0	3+ 5- 13- 43-	-1 3+ 5-  4  6 13- -2  8
Curve Equation t 109005i1 [1,1,1,-1765,-88678] 2 109005i2 [1,1,1,-42390,-3371178] 2
109005j (1 curve)	0	3- 5+ 13+ 43+	0 3- 5+  2  5 13+  5  6
Curve Equation t 109005j1 [0,1,1,306679,309075836] 1
109005k (1 curve)	0	3- 5+ 13+ 43+	-1 3- 5+ -4 -1 13+ -1  6
Curve Equation t 109005k1 [1,0,0,6309189,-2354389740] 1
109005l (1 curve)	0	3- 5+ 13+ 43+	2 3- 5+  4  3 13+ -7  0
Curve Equation t 109005l1 [0,1,1,1634,90601] 1
109005m (2 curves)	1	3- 5+ 13+ 43-	0 3- 5+  2  3 13+ -6  2
Curve Equation t Generators 109005m1 [0,1,1,-191871,32308085] 3 [-3270:52217:8] 109005m2 [0,1,1,203589,141000266] 1 [1746:76303:1]
109005n (1 curve)	1	3- 5- 13+ 43+	0 3- 5- -3 -3 13+ -3  0
Curve Equation t Generators 109005n1 [0,1,1,-3605,-105946] 1 [2604:18154:27]
109005o (2 curves)	1	3- 5- 13+ 43+	1 3- 5- -2 -2 13+  2 -6
Curve Equation t Generators 109005o1 [1,0,1,-8015843,8643403433] 2 [-1611:132625:1] 109005o2 [1,0,1,-14881468,-8361376567] 2 [-16138:935875:8]
109005p (1 curve)	1	3- 5- 13+ 43+	1 3- 5-  4  1 13+ -1 -6
Curve Equation t Generators 109005p1 [1,0,1,37332,-1068767] 1 [119:2190:1]
109005q (2 curves)	2	3- 5- 13+ 43-	0 3- 5- -2 -3 13+ -6 -2
Curve Equation t Generators 109005q1 [0,1,1,-1135,14356] 1 [-10:157:1]&[20:7:1] 109005q2 [0,1,1,1205,64549] 1 [-19:187:1]&[298:-3229:8]

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