Cremona's table of elliptic curves

39762 = 2 · 3² · 47²

Class	r	Atkin-Lehner	Eigenvalues
39762a (1 curve)	0	2+ 3+ 47-	2+ 3+  3 -3  4  2  2  4
Curve Equation t 39762a1 [1,-1,0,19467,-1377277] 1
39762b (1 curve)	2	2+ 3+ 47-	2+ 3+ -3 -3 -4 -2  2 -4
Curve Equation t Generators 39762b1 [1,-1,0,9,11] 1 [-1:1:1]&[1:4:1]
39762c (2 curves)	1	2+ 3- 47-	2+ 3-  0  0  2  4  2  2
Curve Equation t Generators 39762c1 [1,-1,0,6213,-1841167] 2 [832:23641:1] 39762c2 [1,-1,0,-192597,-31225285] 2 [1180289:-30194470:1331]
39762d (2 curves)	1	2+ 3- 47-	2+ 3-  0  0  4  4 -2 -8
Curve Equation t Generators 39762d1 [1,-1,0,-11193417,-14496106307] 2 [105735005469371146:8831767136163630397:12344008516631] 39762d2 [1,-1,0,-179386677,-924724390775] 2 [687741887583404692616626820639395:-16808980364279398497033854621929052:43740246842735984188472812625]
39762e (2 curves)	1	2+ 3- 47-	2+ 3-  0  0 -4 -4 -2  8
Curve Equation t Generators 39762e1 [1,-1,0,-5067,140917] 2 [26:149:1] 39762e2 [1,-1,0,-81207,8927473] 2 [153:182:1]
39762f (1 curve)	1	2+ 3- 47-	2+ 3-  1  3  0  2  4  0
Curve Equation t Generators 39762f1 [1,-1,0,-414,-14324] 1 [471:9968:1]
39762g (1 curve)	1	2+ 3- 47-	2+ 3-  1 -4  0 -5 -3  0
Curve Equation t Generators 39762g1 [1,-1,0,100001016,-1274012268224] 1 [389601968:-415436683192:343]
39762h (1 curve)	1	2+ 3- 47-	2+ 3- -1  3  0 -2  4  0
Curve Equation t Generators 39762h1 [1,-1,0,-914940,1498138312] 1 [-175470891:15393111841:357911]
39762i (1 curve)	1	2+ 3- 47-	2+ 3- -1 -4  0  5 -3  0
Curve Equation t Generators 39762i1 [1,-1,0,45270,12259444] 1 [-28:3326:1]
39762j (4 curves)	1	2+ 3- 47-	2+ 3-  2  0  0 -2 -2  0
Curve Equation t Generators 39762j1 [1,-1,0,1152684,-238506800] 2 [318331976:13606611644:389017] 39762j2 [1,-1,0,-5209236,-2016027248] 4 [2515349403790057:70795465001066434:874545616547] 39762j3 [1,-1,0,-42585516,105590282872] 2 [1199998761:-8530668343:357911] 39762j4 [1,-1,0,-69623676,-223459989080] 2 [58321212202069511211177860975:-10340839802871172163715833609674:1739027495065012207328125]
39762k (2 curves)	1	2+ 3- 47-	2+ 3-  2 -4  6 -6  2 -2
Curve Equation t Generators 39762k1 [1,-1,0,953874,694963584] 2 [184920:9043692:125] 39762k2 [1,-1,0,-8390196,7921667322] 2 [233542322460:3775488630471:97336000]
39762l (2 curves)	1	2+ 3- 47-	2+ 3- -2 -4 -6  6  2  2
Curve Equation t Generators 39762l1 [1,-1,0,432,-6804] 2 [18:72:1] 39762l2 [1,-1,0,-3798,-75330] 2 [-35:135:1]
39762m (1 curve)	1	2+ 3- 47-	2+ 3-  3  0 -4  1  5  8
Curve Equation t Generators 39762m1 [1,-1,0,-978,-11692] 1 [436:8854:1]
39762n (1 curve)	1	2+ 3- 47-	2+ 3- -3  0  4 -1  5 -8
Curve Equation t Generators 39762n1 [1,-1,0,-2160816,1239826688] 1 [832:3760:1]
39762o (2 curves)	1	2+ 3- 47-	2+ 3- -4 -4  0  2  6 -6
Curve Equation t Generators 39762o1 [1,-1,0,-298629,76984789] 2 [-505:10193:1] 39762o2 [1,-1,0,-5070069,4395137989] 2 [1281:464:1]
39762p (1 curve)	1	2- 3+ 47-	2- 3+  3 -3  4 -2 -2 -4
Curve Equation t Generators 39762p1 [1,-1,1,79,-377] 1 [286:1591:8]
39762q (1 curve)	1	2- 3+ 47-	2- 3+ -3 -3 -4  2 -2  4
Curve Equation t Generators 39762q1 [1,-1,1,175201,37011277] 1 [-26454:812777:216]
39762r (2 curves)	0	2- 3- 47-	2- 3-  3 -1  0  2  0  8
Curve Equation t 39762r1 [1,-1,1,-2316551,-1406751361] 1 39762r2 [1,-1,1,11699554,-3946469587] 3
39762s (2 curves)	2	2- 3- 47-	2- 3- -3 -1  0 -2  0 -8
Curve Equation t Generators 39762s1 [1,-1,1,-1049,13817] 1 [-33:124:1]&[21:16:1] 39762s2 [1,-1,1,5296,36659] 1 [93:1105:1]&[13:321:1]

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