Cremona's table of elliptic curves

74175 = 3 · 5² · 23 · 43

Class	r	Atkin-Lehner	Eigenvalues
74175a (1 curve)	1	3+ 5+ 23+ 43+	0 3+ 5+ -2  3  1 -3  4
Curve Equation t Generators 74175a1 [0,-1,1,-15063,-1953817] 1 [1420269:13301185:6859]
74175b (1 curve)	1	3+ 5+ 23+ 43+	-1 3+ 5+  0 -1  2  4  1
Curve Equation t Generators 74175b1 [1,1,1,437,-844] 1 [40:267:1]
74175c (4 curves)	1	3+ 5+ 23+ 43+	-1 3+ 5+  0 -4  2 -2  4
Curve Equation t Generators 74175c1 [1,1,1,-3290213,-2298324094] 2 [-2513505159510790:1505291237931836:2383015010293] 74175c2 [1,1,1,-3521338,-1957183594] 4 [-31814450:-120391089:50653] 74175c3 [1,1,1,8233787,-12231162844] 2 [84705379436431:-73943692259275275:111284641] 74175c4 [1,1,1,-18974463,30154410156] 2 [78674048437635937:-68677345978771598875:103359800557]
74175d (1 curve)	1	3+ 5+ 23+ 43+	2 3+ 5+  0 -5  1  5 -8
Curve Equation t Generators 74175d1 [0,-1,1,-698,7343] 1 [154:203:8]
74175e (1 curve)	0	3+ 5+ 23+ 43-	1 3+ 5+ -1  1  5  0 -3
Curve Equation t 74175e1 [1,1,0,-13000,1274125] 1
74175f (1 curve)	0	3+ 5+ 23+ 43-	2 3+ 5+  1 -6  4  7 -6
Curve Equation t 74175f1 [0,-1,1,-4749758,3991725293] 1
74175g (1 curve)	2	3+ 5+ 23- 43+	1 3+ 5+  2 -2  1 -7 -8
Curve Equation t Generators 74175g1 [1,1,0,-9700,-297875] 1 [-76:125:1]&[204:2401:1]
74175h (2 curves)	2	3+ 5+ 23- 43+	1 3+ 5+ -4 -6  6  0 -2
Curve Equation t Generators 74175h1 [1,1,0,-2878875,-1881306000] 2 [2384:68176:1]&[3920:215040:1] 74175h2 [1,1,0,-2878250,-1882162875] 2 [2620:91265:1]&[3356:160403:1]
74175i (1 curve)	2	3+ 5+ 23- 43+	-2 3+ 5+  2 -3 -3  3 -2
Curve Equation t Generators 74175i1 [0,-1,1,2,108] 1 [3:-12:1]&[-22:65:8]
74175j (1 curve)	1	3+ 5+ 23- 43-	0 3+ 5+  3  0  6 -1 -8
Curve Equation t Generators 74175j1 [0,-1,1,4717,-6907] 1 [47:-563:1]
74175k (1 curve)	1	3+ 5+ 23- 43-	0 3+ 5+ -3  0  0  5  4
Curve Equation t Generators 74175k1 [0,-1,1,-632133,966021293] 1 [921:34120:1]
74175l (1 curve)	1	3+ 5+ 23- 43-	1 3+ 5+  2  2 -7  3 -4
Curve Equation t Generators 74175l1 [1,1,0,-185,-870] 1 [46:278:1]
74175m (1 curve)	1	3+ 5+ 23- 43-	-1 3+ 5+ -1 -5 -3 -4  5
Curve Equation t Generators 74175m1 [1,1,1,-7038,234156] 1 [84:452:1]
74175n (1 curve)	1	3+ 5+ 23- 43-	-1 3+ 5+ -2  0  1 -5 -6
Curve Equation t Generators 74175n1 [1,1,1,-613,5516] 1 [16:3:1]
74175o (1 curve)	1	3+ 5+ 23- 43-	-1 3+ 5+ -4 -5  6 -4 -1
Curve Equation t Generators 74175o1 [1,1,1,-810127313,8874859928906] 1 [16580:24497:1]
74175p (1 curve)	1	3+ 5+ 23- 43-	-1 3+ 5+  5 -5 -3 -4 -1
Curve Equation t Generators 74175p1 [1,1,1,-336452488,-5171785338094] 1 [92574:27468187:1]
74175q (1 curve)	0	3- 5+ 23+ 43+	-1 3- 5+ -1 -3 -3  4  5
Curve Equation t 74175q1 [1,0,0,-66438,-6596883] 1
74175r (6 curves)	1	3- 5+ 23+ 43-	1 3- 5+  0  4  2 -2  4
Curve Equation t Generators 74175r1 [1,0,1,-40751,3006773] 2 [1788831:-5561857:19683] 74175r2 [1,0,1,-118876,-11993227] 4 [354264638849984:21498950903381779:93824221184] 74175r3 [1,0,1,284249,-75686977] 2 [5471369292275460460844212416:-341152010945634432453507152503:1457049805163350704521216] 74175r4 [1,0,1,-1772001,-907986977] 4 [287166349:7806354387:148877] 74175r5 [1,0,1,-1642626,-1046159477] 2 [5056094158547488:-621506413334686461:334833680384] 74175r6 [1,0,1,-28351376,-58106801977] 2 [75585121736352:-8794642935745169:4878401536]
74175s (1 curve)	1	3- 5+ 23+ 43-	-2 3- 5+ -3 -2 -4  7 -2
Curve Equation t Generators 74175s1 [0,1,1,-1035258,405089894] 1 [588:37:1]
74175t (1 curve)	1	3- 5- 23+ 43+	1 3- 5-  2  0 -1  5 -6
Curve Equation t Generators 74175t1 [1,0,1,-15326,720173] 1 [153:1324:1]
74175u (1 curve)	1	3- 5- 23+ 43+	-1 3- 5- -2  2  7 -3 -4
Curve Equation t Generators 74175u1 [1,0,0,-4638,-99483] 1 [77:-1:1]
74175v (1 curve)	2	3- 5- 23+ 43-	-1 3- 5- -2 -2 -1  7 -8
Curve Equation t Generators 74175v1 [1,0,0,-388,-2383] 1 [-122:115:8]&[-13:29:1]
74175w (1 curve)	0	3- 5- 23+ 43-	2 3- 5- -2 -3  3 -3 -2
Curve Equation t 74175w1 [0,1,1,42,13619] 1
74175x (1 curve)	1	3- 5- 23- 43-	0 3- 5-  2  3 -1  3  4
Curve Equation t Generators 74175x1 [0,1,1,-376583,-244980256] 1 [1558:54337:1]
74175y (1 curve)	1	3- 5- 23- 43-	-2 3- 5-  0 -5 -1 -5 -8
Curve Equation t Generators 74175y1 [0,1,1,-17458,882994] 1 [8:862:1]

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