Cremona's table of elliptic curves

22575 = 3 · 5² · 7 · 43

Class	r	Atkin-Lehner	Eigenvalues
22575a (3 curves)	1	3+ 5+ 7+ 43+	0 3+ 5+ 7+ -3 -5  3  2
Curve Equation t Generators 22575a1 [0,-1,1,-1083,-5433307] 1 [3927:246037:1] 22575a2 [0,-1,1,-2370333,-1403928682] 1 [4062:236587:1] 22575a3 [0,-1,1,-192000333,-1023938666557] 1 [1619056437:363717489067:29791]
22575b (2 curves)	1	3+ 5+ 7+ 43+	-1 3+ 5+ 7+  0  0  2  2
Curve Equation t Generators 22575b1 [1,1,1,-1463,-27844] 2 [80:572:1] 22575b2 [1,1,1,-25088,-1539844] 2 [215:1642:1]
22575c (4 curves)	0	3+ 5+ 7+ 43-	-1 3+ 5+ 7+  0 -2 -2  0
Curve Equation t 22575c1 [1,1,1,-44592688,114596982656] 4 22575c2 [1,1,1,-44592813,114596307906] 4 22575c3 [1,1,1,-43437188,120818192906] 2 22575c4 [1,1,1,-45750438,108331241406] 2
22575d (1 curve)	0	3+ 5+ 7+ 43-	2 3+ 5+ 7+  6 -3  4  4
Curve Equation t 22575d1 [0,-1,1,742,15293] 1
22575e (1 curve)	2	3+ 5+ 7- 43+	0 3+ 5+ 7- -3 -1 -1 -6
Curve Equation t Generators 22575e1 [0,-1,1,167,-57] 1 [1:10:1]&[7:37:1]
22575f (1 curve)	1	3+ 5+ 7- 43-	0 3+ 5+ 7-  4  2  7  0
Curve Equation t Generators 22575f1 [0,-1,1,-7533,254603] 1 [-27:661:1]
22575g (4 curves)	1	3+ 5+ 7- 43-	-1 3+ 5+ 7- -4  2 -6  0
Curve Equation t Generators 22575g1 [1,1,1,-2400213,-1432274094] 2 [24386:3788145:1] 22575g2 [1,1,1,-2403338,-1428361594] 4 [1864:22997:1] 22575g3 [1,1,1,-1086463,-2984907844] 2 [47703:645419:27] 22575g4 [1,1,1,-3770213,378647156] 4 [-1970:13847:1]
22575h (1 curve)	1	3+ 5+ 7- 43-	2 3+ 5+ 7-  5 -1 -3  0
Curve Equation t Generators 22575h1 [0,-1,1,-208,62193] 1 [-262:1445:8]
22575i (2 curves)	1	3+ 5- 7+ 43-	1 3+ 5- 7+  0 -6  2  0
Curve Equation t Generators 22575i1 [1,1,0,-280,-1925] 2 [26:83:1] 22575i2 [1,1,0,-255,-2250] 2 [30:120:1]
22575j (1 curve)	1	3+ 5- 7- 43+	1 3+ 5- 7-  3  6 -7 -2
Curve Equation t Generators 22575j1 [1,1,0,-3325,-74750] 1 [-34:38:1]
22575k (4 curves)	1	3- 5+ 7+ 43-	1 3- 5+ 7+  0  2 -6  0
Curve Equation t Generators 22575k1 [1,0,1,-3501,78523] 2 [206:493:8] 22575k2 [1,0,1,-6626,-83977] 4 [-6438:66911:216] 22575k3 [1,0,1,23999,-635227] 4 [1387:51281:1] 22575k4 [1,0,1,-87251,-9920227] 2 [2248505776:25744036017:5451776]
22575l (1 curve)	1	3- 5+ 7+ 43-	-1 3- 5+ 7+  3 -6  7 -2
Curve Equation t Generators 22575l1 [1,0,0,-133,-598] 1 [-7:5:1]
22575m (1 curve)	1	3- 5+ 7+ 43-	2 3- 5+ 7+ -3  3  7 -8
Curve Equation t Generators 22575m1 [0,1,1,-5908,175219] 1 [634:3671:8]
22575n (4 curves)	1	3- 5+ 7- 43+	1 3- 5+ 7- -4 -6  6  4
Curve Equation t Generators 22575n1 [1,0,1,5099,-2201677] 2 [3320846405:-2954847659:28372625] 22575n2 [1,0,1,-226026,-40106177] 4 [68395:6732:125] 22575n3 [1,0,1,-564651,108211573] 2 [7626136266886:-15632306037791367:1815848] 22575n4 [1,0,1,-3585401,-2613387427] 2 [2187:1531:1]
22575o (1 curve)	1	3- 5+ 7- 43+	-2 3- 5+ 7-  2 -3  0  4
Curve Equation t Generators 22575o1 [0,1,1,-908,10844] 1 [13:37:1]
22575p (2 curves)	0	3- 5+ 7- 43-	-1 3- 5+ 7-  4  4  6  6
Curve Equation t 22575p1 [1,0,0,-7188,-20418633] 2 22575p2 [1,0,0,-1164813,-477680508] 2
22575q (1 curve)	1	3- 5- 7+ 43+	0 3- 5- 7+  4 -2 -7  0
Curve Equation t Generators 22575q1 [0,1,1,-188333,31448744] 1 [304:1543:1]
22575r (1 curve)	1	3- 5- 7+ 43+	-2 3- 5- 7+  5  1  3  0
Curve Equation t Generators 22575r1 [0,1,1,-8,494] 1 [13:-53:1]
22575s (2 curves)	0	3- 5- 7- 43+	-1 3- 5- 7-  0  6 -2  0
Curve Equation t 22575s1 [1,0,0,-7013,-226608] 2 22575s2 [1,0,0,-6388,-268483] 2

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