Cremona's table of elliptic curves

40749 = 3 · 17² · 47

Class	r	Atkin-Lehner	Eigenvalues
40749a (1 curve)	1	3+ 17+ 47+	0 3+  1 -3 -1 -6 17+ -2
Curve Equation t Generators 40749a1 [0,-1,1,-506135,138278009] 1 [-11:11993:1]
40749b (1 curve)	1	3+ 17+ 47+	0 3+  1  4  3 -3 17+  5
Curve Equation t Generators 40749b1 [0,-1,1,-52405,6157035] 1 [141:1245:1]
40749c (1 curve)	1	3+ 17+ 47+	0 3+ -3 -3  3  6 17+  6
Curve Equation t Generators 40749c1 [0,-1,1,-3550653807,-74665957883650] 1 [-1837996170636831985501765127970273332002546650315724:97316859343649747526112160458095244565655386252512350:46912020613477710915769746545457175360559189473]
40749d (4 curves)	1	3+ 17+ 47+	-1 3+ -2  0 -4 -2 17+  0
Curve Equation t Generators 40749d1 [1,1,1,-584,15320] 2 [-16:152:1] 40749d2 [1,1,1,-13589,603146] 4 [53:161:1] 40749d3 [1,1,1,-17924,180050] 2 [1198:6911:8] 40749d4 [1,1,1,-217334,38907206] 2 [2158:-853:8]
40749e (1 curve)	1	3+ 17+ 47+	2 3+  1  3 -1 -2 17+  6
Curve Equation t Generators 40749e1 [0,-1,1,-7610,-252985] 1 [-2523833270:126123083:50653000]
40749f (2 curves)	0	3+ 17+ 47-	0 3+  3  1 -3  2 17+  2
Curve Equation t 40749f1 [0,-1,1,-68589,1616267] 1 40749f2 [0,-1,1,-3328509,-2336194612] 1
40749g (2 curves)	0	3+ 17+ 47-	1 3+  0  0  2  2 17+  0
Curve Equation t 40749g1 [1,1,0,-261695,-51583968] 2 40749g2 [1,1,0,-193780,-78899381] 2
40749h (1 curve)	0	3+ 17+ 47-	-2 3+  3  3  5  2 17+ -6
Curve Equation t 40749h1 [0,-1,1,-3564,32258] 1
40749i (1 curve)	0	3+ 17- 47+	-1 3+  1  4  0  2 17- -5
Curve Equation t 40749i1 [1,1,1,-75435,8830398] 1
40749j (1 curve)	0	3- 17+ 47+	0 3-  1  3  3 -4 17+ -6
Curve Equation t 40749j1 [0,1,1,-385,-902] 1
40749k (1 curve)	2	3- 17+ 47+	0 3- -1 -4 -3 -3 17+  5
Curve Equation t Generators 40749k1 [0,1,1,-181,1189] 1 [11:25:1]&[58:137:8]
40749l (1 curve)	2	3- 17+ 47+	-1 3- -1 -4  0  2 17+ -5
Curve Equation t Generators 40749l1 [1,0,0,-261,1782] 1 [9:-18:1]&[-9:63:1]
40749m (2 curves)	1	3- 17+ 47-	-1 3-  0 -4  0  6 17+  2
Curve Equation t Generators 40749m1 [1,0,0,-2318,-61509] 2 [75:396:1] 40749m2 [1,0,0,-41333,-3237330] 2 [534:11004:1]
40749n (1 curve)	1	3- 17+ 47-	2 3-  3  2 -3 -3 17+  5
Curve Equation t Generators 40749n1 [0,1,1,-1055524,431107045] 1 [1210:132647:8]

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

Part of Computational Number Theory
Back to Tables and computations