Cremona's table of elliptic curves

44109 = 3² · 13² · 29

Class	r	Atkin-Lehner	Eigenvalues
44109a (1 curve)	1	3+ 13+ 29+	1 3+  0  3  3 13+ -1  6
Curve Equation t Generators 44109a1 [1,-1,0,-12,27] 1 [6:9:1]
44109b (1 curve)	1	3+ 13+ 29+	1 3+  4 -3  5 13+ -5 -2
Curve Equation t Generators 44109b1 [1,-1,0,-5355,-520792] 1 [54758998940:-755254585942:256047875]
44109c (1 curve)	1	3+ 13+ 29+	-1 3+  0 -3 -3 13+ -1 -6
Curve Equation t Generators 44109c1 [1,-1,1,-2060,53174] 1 [-42:274:1]
44109d (1 curve)	1	3+ 13+ 29+	-1 3+ -4  3 -5 13+ -5  2
Curve Equation t Generators 44109d1 [1,-1,1,-32,-230] 1 [10:14:1]
44109e (1 curve)	1	3+ 13+ 29+	-2 3+  1  0  2 13+  7 -8
Curve Equation t Generators 44109e1 [0,0,1,-5962827,5604365198] 1 [38064:-98:27]
44109f (1 curve)	1	3+ 13+ 29+	-2 3+ -3  0 -6 13+ -1  0
Curve Equation t Generators 44109f1 [0,0,1,-54249,-5186568] 1 [624:-14281:1]
44109g (1 curve)	0	3+ 13+ 29-	1 3+  0 -3  3 13+  1 -6
Curve Equation t 44109g1 [1,-1,0,-18537,-1417168] 1
44109h (1 curve)	0	3+ 13+ 29-	1 3+  4  3  5 13+  5  2
Curve Equation t 44109h1 [1,-1,0,-285,6488] 1
44109i (1 curve)	0	3+ 13+ 29-	-1 3+  0  3 -3 13+  1  6
Curve Equation t 44109i1 [1,-1,1,-110,-620] 1
44109j (1 curve)	0	3+ 13+ 29-	-1 3+ -4 -3 -5 13+  5 -2
Curve Equation t 44109j1 [1,-1,1,-48197,14109580] 1
44109k (1 curve)	0	3+ 13+ 29-	2 3+ -1  0 -2 13+ -7 -8
Curve Equation t 44109k1 [0,0,1,-53665443,-151317860353] 1
44109l (1 curve)	0	3+ 13+ 29-	2 3+  3  0  6 13+  1  0
Curve Equation t 44109l1 [0,0,1,-488241,140037329] 1
44109m (1 curve)	2	3- 13+ 29+	0 3-  1  2 -4 13+ -5 -4
Curve Equation t Generators 44109m1 [0,0,1,-8112,297144] 1 [-52:760:1]&[-78:4897:8]
44109n (1 curve)	0	3- 13+ 29+	0 3-  2 -5 -2 13+  4  4
Curve Equation t 44109n1 [0,0,1,-56784,-5218002] 1
44109o (1 curve)	0	3- 13+ 29+	0 3- -2  5  2 13+  4 -4
Curve Equation t 44109o1 [0,0,1,-9596496,-11463949845] 1
44109p (1 curve)	0	3- 13+ 29+	0 3-  3  0  2 13+  4  6
Curve Equation t 44109p1 [0,0,1,-2496,47934] 1
44109q (1 curve)	0	3- 13+ 29+	0 3- -3  0 -2 13+  4 -6
Curve Equation t 44109q1 [0,0,1,-421824,105311547] 1
44109r (1 curve)	0	3- 13+ 29+	1 3-  0 -3  3 13+  5 -6
Curve Equation t 44109r1 [1,-1,0,-792,-8397] 1
44109s (4 curves)	2	3- 13+ 29+	1 3- -2  0 -4 13+ -2  4
Curve Equation t Generators 44109s1 [1,-1,0,-12453,-528904] 2 [140:606:1]&[188:1842:1] 44109s2 [1,-1,0,-20058,199655] 4 [-134:751:1]&[-154:6161:8] 44109s3 [1,-1,0,78807,1524446] 2 [10:1516:1]&[212:85413:64] 44109s4 [1,-1,0,-240603,45411380] 2 [2630:9305:8]&[556:8848:1]
44109t (1 curve)	0	3- 13+ 29+	-1 3-  0  3 -3 13+  5  6
Curve Equation t 44109t1 [1,-1,1,-133880,-18849814] 1
44109u (1 curve)	0	3- 13+ 29+	2 3-  0  3  0 13+ -4  0
Curve Equation t 44109u1 [0,0,1,2535,891855] 1
44109v (1 curve)	0	3- 13+ 29+	-2 3-  0 -3  0 13+ -4  0
Curve Equation t 44109v1 [0,0,1,428415,1959405984] 1
44109w (2 curves)	1	3- 13+ 29-	-1 3-  0  0 -4 13+ -6 -2
Curve Equation t Generators 44109w1 [1,-1,1,18220,-430842] 2 [104:1554:1] 44109w2 [1,-1,1,-80645,-3554976] 2 [-172:2367:1]
44109x (1 curve)	1	3- 13+ 29-	2 3- -3  0  2 13+  6 -2
Curve Equation t Generators 44109x1 [0,0,1,-39,-23] 1 [-46:23:8]
44109y (1 curve)	1	3- 13+ 29-	-2 3-  3  0 -2 13+  6  2
Curve Equation t Generators 44109y1 [0,0,1,-6591,-49982] 1 [-77:31:1]
44109z (2 curves)	0	3- 13- 29-	1 3-  0 -2  0 13-  6  8
Curve Equation t 44109z1 [1,-1,0,-78385527,-267097649688] 2 44109z2 [1,-1,0,-78484392,-266390033337] 2
44109ba (2 curves)	0	3- 13- 29-	1 3-  4 -2  0 13-  6 -4
Curve Equation t 44109ba1 [1,-1,0,-675,-6512] 2 44109ba2 [1,-1,0,-1260,6943] 2
44109bb (2 curves)	0	3- 13- 29-	-1 3-  0  2  0 13-  6 -8
Curve Equation t 44109bb1 [1,-1,1,-463820,-121466770] 2 44109bb2 [1,-1,1,-464405,-121144552] 2
44109bc (2 curves)	0	3- 13- 29-	-1 3- -4  2  0 13-  6  4
Curve Equation t 44109bc1 [1,-1,1,-114107,-14649150] 2 44109bc2 [1,-1,1,-212972,14614890] 2
44109bd (2 curves)	0	3- 13- 29-	2 3-  3  2  0 13-  3  4
Curve Equation t 44109bd1 [0,0,1,-6591,11231613] 1 44109bd2 [0,0,1,-2972541,-2234348451] 1
44109be (2 curves)	2	3- 13- 29-	-2 3- -3 -2  0 13-  3 -4
Curve Equation t Generators 44109be1 [0,0,1,-39,5112] 1 [-16:40:1]&[-13:58:1] 44109be2 [0,0,1,-17589,-1017000] 1 [272:3784:1]&[182:1345:1]

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

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