Cremona's table of elliptic curves

3045 = 3 · 5 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
3045a (1 curve)	1	3+ 5+ 7+ 29+	2 3+ 5+ 7+  5 -4  6 -8
Curve Equation t Generators 3045a1 [0,-1,1,-166,-789] 1 [202:815:8]
3045b (1 curve)	0	3+ 5+ 7- 29+	2 3+ 5+ 7- -3  4  6  0
Curve Equation t 3045b1 [0,-1,1,-36,587] 1
3045c (2 curves)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7-  0  4 -8 -4
Curve Equation t Generators 3045c1 [1,1,1,-11,8] 2 [-4:4:1] 3045c2 [1,1,1,14,68] 2 [2:9:1]
3045d (4 curves)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7- -4 -2  2  4
Curve Equation t Generators 3045d1 [1,1,1,29,104] 4 [-2:7:1] 3045d2 [1,1,1,-216,888] 4 [-14:44:1] 3045d3 [1,1,1,-1091,-13462] 2 [-16:22:1] 3045d4 [1,1,1,-3261,70314] 2 [33:-13:1]
3045e (8 curves)	1	3+ 5- 7+ 29-	-1 3+ 5- 7+  4 -2  2 -4
Curve Equation t Generators 3045e1 [1,1,1,-7930,268502] 4 [172:1921:1] 3045e2 [1,1,1,-7935,268140] 8 [-72:723:1] 3045e3 [1,1,1,-11060,33140] 8 [-77:698:1] 3045e4 [1,1,1,-4890,480072] 4 [657:16446:1] 3045e5 [1,1,1,-116185,-15231010] 4 [-41862:70873:216] 3045e6 [1,1,1,44065,319790] 4 [0:565:1] 3045e7 [1,1,1,-1856910,-974718630] 2 [53838505028:-1288492815875:29218112] 3045e8 [1,1,1,-57460,-30546490] 2 [113502102:4313733775:74088]
3045f (4 curves)	0	3+ 5- 7- 29-	1 3+ 5- 7-  0  6 -2  0
Curve Equation t 3045f1 [1,1,0,-5887,109504] 2 3045f2 [1,1,0,-38692,-2862629] 4 3045f3 [1,1,0,-614197,-185527916] 2 3045f4 [1,1,0,11933,-9757754] 4
3045g (4 curves)	1	3- 5+ 7+ 29-	-1 3- 5+ 7+ -4  2  6 -4
Curve Equation t Generators 3045g1 [1,0,0,-21,-24] 2 [5:-1:1] 3045g2 [1,0,0,-146,651] 4 [1:22:1] 3045g3 [1,0,0,-2321,42846] 2 [30:6:1] 3045g4 [1,0,0,29,2156] 2 [-5:46:1]
3045h (1 curve)	1	3- 5+ 7+ 29-	2 3- 5+ 7+ -1 -4 -6 -4
Curve Equation t Generators 3045h1 [0,1,1,-198136,66208195] 1 [1210:50417:8]
3045i (4 curves)	0	3- 5- 7+ 29-	1 3- 5- 7+  0 -2 -2  8
Curve Equation t 3045i1 [1,0,1,-1333,18611] 2 3045i2 [1,0,1,-1338,18463] 4 3045i3 [1,0,1,-2643,-23819] 2 3045i4 [1,0,1,-113,51293] 4
3045j (2 curves)	1	3- 5- 7- 29-	-1 3- 5- 7-  0  0 -4 -4
Curve Equation t Generators 3045j1 [1,0,0,-49315,4204592] 2 [749:19313:1] 3045j2 [1,0,0,-33690,6920217] 2 [-201:2463:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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