Cremona's table of elliptic curves

76725 = 3² · 5² · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
76725a (1 curve)	1	3+ 5+ 11+ 31+	-1 3+ 5+  0 11+  4  3  2
Curve Equation t Generators 76725a1 [1,-1,1,-1325,67042] 1 [43:275:1]
76725b (1 curve)	0	3+ 5+ 11- 31+	1 3+ 5+  0 11-  4 -3  2
Curve Equation t 76725b1 [1,-1,0,-147,-2434] 1
76725c (1 curve)	0	3+ 5- 11+ 31+	1 3+ 5-  0 11+ -4 -3  2
Curve Equation t 76725c1 [1,-1,0,-33117,8347166] 1
76725d (1 curve)	0	3+ 5- 11+ 31+	2 3+ 5-  1 11+  2  6 -6
Curve Equation t 76725d1 [0,0,1,-375,7031] 1
76725e (1 curve)	2	3+ 5- 11+ 31+	-2 3+ 5- -1 11+ -2 -6 -6
Curve Equation t Generators 76725e1 [0,0,1,-15,56] 1 [-5:2:1]&[0:7:1]
76725f (2 curves)	1	3+ 5- 11+ 31-	1 3+ 5-  0 11+  2  4  0
Curve Equation t Generators 76725f1 [1,-1,0,-1617,-12584] 2 [-924:1606:27] 76725f2 [1,-1,0,-22242,-1270709] 2 [-1202088:791897:13824]
76725g (2 curves)	1	3+ 5- 11+ 31-	-1 3+ 5-  0 11+ -2 -4  0
Curve Equation t Generators 76725g1 [1,-1,1,-65,-88] 2 [-6:10:1] 76725g2 [1,-1,1,-890,-9988] 2 [-17:10:1]
76725h (1 curve)	1	3+ 5- 11- 31+	-1 3+ 5-  0 11- -4  3  2
Curve Equation t Generators 76725h1 [1,-1,1,-3680,-307928] 1 [94:365:1]
76725i (1 curve)	1	3+ 5- 11- 31+	2 3+ 5- -1 11- -2  6 -6
Curve Equation t Generators 76725i1 [0,0,1,-135,-1519] 1 [1764:7987:64]
76725j (1 curve)	1	3+ 5- 11- 31+	-2 3+ 5-  1 11-  2 -6 -6
Curve Equation t Generators 76725j1 [0,0,1,-3375,-189844] 1 [100:687:1]
76725k (2 curves)	0	3+ 5- 11- 31-	1 3+ 5-  0 11- -2  4  0
Curve Equation t 76725k1 [1,-1,0,-582,2951] 2 76725k2 [1,-1,0,-8007,277676] 2
76725l (2 curves)	0	3+ 5- 11- 31-	-1 3+ 5-  0 11-  2 -4  0
Curve Equation t 76725l1 [1,-1,1,-14555,354322] 2 76725l2 [1,-1,1,-200180,34509322] 2
76725m (4 curves)	0	3- 5+ 11+ 31+	1 3- 5+  0 11+ -6  2  0
Curve Equation t 76725m1 [1,-1,0,-14067,346216] 2 76725m2 [1,-1,0,-105192,-12866909] 4 76725m3 [1,-1,0,6183,-38817284] 2 76725m4 [1,-1,0,-1674567,-833650034] 2
76725n (2 curves)	0	3- 5+ 11+ 31+	1 3- 5+  2 11+  4  6  2
Curve Equation t 76725n1 [1,-1,0,-6192,-117909] 2 76725n2 [1,-1,0,-41067,3125466] 2
76725o (2 curves)	0	3- 5+ 11+ 31+	1 3- 5+  2 11+ -4 -2  6
Curve Equation t 76725o1 [1,-1,0,-22617342,-40147597809] 2 76725o2 [1,-1,0,-56132217,106547010066] 2
76725p (6 curves)	0	3- 5+ 11+ 31+	-1 3- 5+  0 11+  2  2 -4
Curve Equation t 76725p1 [1,-1,1,111370,-11988628] 2 76725p2 [1,-1,1,-591755,-109019878] 4 76725p3 [1,-1,1,-3994880,2994630122] 4 76725p4 [1,-1,1,-8438630,-9431107378] 2 76725p5 [1,-1,1,1016995,10001231372] 2 76725p6 [1,-1,1,-63456755,194580791372] 2
76725q (2 curves)	1	3- 5+ 11+ 31-	-1 3- 5+  2 11+  4  2  2
Curve Equation t Generators 76725q1 [1,-1,1,-37130,-2710128] 2 [-112:240:1] 76725q2 [1,-1,1,-72005,3218622] 2 [-226:2925:1]
76725r (2 curves)	1	3- 5+ 11+ 31-	-1 3- 5+ -2 11+ -6  0 -4
Curve Equation t Generators 76725r1 [1,-1,1,-39723980,96376687022] 2 [3628:-654:1] 76725r2 [1,-1,1,-39711605,96439725272] 2 [924:245575:1]
76725s (4 curves)	1	3- 5+ 11+ 31-	-1 3- 5+  4 11+  6 -6 -4
Curve Equation t Generators 76725s1 [1,-1,1,140620,-26359378] 4 [190:2586:1] 76725s2 [1,-1,1,-940505,-266369128] 4 [7165:597073:1] 76725s3 [1,-1,1,-5160380,4291095872] 2 [8022:85085:8] 76725s4 [1,-1,1,-14018630,-20197431628] 2 [20842010:-1541847441:2744]
76725t (2 curves)	1	3- 5+ 11- 31+	1 3- 5+  2 11- -4 -6  4
Curve Equation t Generators 76725t1 [1,-1,0,6183,103216] 2 [430:5923:8] 76725t2 [1,-1,0,-28692,905341] 2 [-36:1393:1]
76725u (2 curves)	2	3- 5+ 11- 31-	0 3- 5+  1 11- -2 -6  2
Curve Equation t Generators 76725u1 [0,0,1,5550,-70844] 1 [16:148:1]&[290:3371:8] 76725u2 [0,0,1,-61950,7134781] 1 [-95:-3488:1]&[115:-1238:1]
76725v (1 curve)	0	3- 5+ 11- 31-	0 3- 5+ -3 11-  2  2 -6
Curve Equation t 76725v1 [0,0,1,-3415800,-2431420344] 1
76725w (2 curves)	0	3- 5+ 11- 31-	1 3- 5+  2 11- -2  4  8
Curve Equation t 76725w1 [1,-1,0,-18792,989491] 2 76725w2 [1,-1,0,-6417,2264116] 2
76725x (2 curves)	0	3- 5+ 11- 31-	1 3- 5+ -4 11-  4  4 -4
Curve Equation t 76725x1 [1,-1,0,-216792,-49698509] 2 76725x2 [1,-1,0,-3732417,-2774307884] 2
76725y (4 curves)	2	3- 5+ 11- 31-	-1 3- 5+  0 11- -6 -6  0
Curve Equation t Generators 76725y1 [1,-1,1,-69755,-7877878] 2 [3030:34193:8]&[478:7996:1] 76725y2 [1,-1,1,-1150880,-474923878] 4 [-620:381:1]&[1363:21390:1] 76725y3 [1,-1,1,-1185755,-444582628] 2 [-762:4390:1]&[-741:5545:1] 76725y4 [1,-1,1,-18414005,-30409182628] 2 [7029:429385:1]&[22329:3258535:1]
76725z (1 curve)	2	3- 5+ 11- 31-	-1 3- 5+ -3 11-  0 -3 -3
Curve Equation t Generators 76725z1 [1,-1,1,-35690,2607842] 1 [-192:1630:1]&[138:475:1]
76725ba (2 curves)	1	3- 5- 11+ 31+	1 3- 5- -4 11+  4  0  0
Curve Equation t Generators 76725ba1 [1,-1,0,-8367,-290584] 2 [36916:855667:64] 76725ba2 [1,-1,0,-13992,153791] 2 [-110:649:1]
76725bb (2 curves)	1	3- 5- 11+ 31+	-1 3- 5-  4 11+ -4  0  0
Curve Equation t Generators 76725bb1 [1,-1,1,-335,-2258] 2 [-10:8:1] 76725bb2 [1,-1,1,-560,1342] 2 [-16:85:1]
76725bc (2 curves)	0	3- 5- 11+ 31-	2 3- 5-  3 11+  4  2  0
Curve Equation t 76725bc1 [0,0,1,-885,1339281] 1 76725bc2 [0,0,1,-740235,-274229019] 1
76725bd (2 curves)	2	3- 5- 11+ 31-	-2 3- 5- -3 11+ -4 -2  0
Curve Equation t Generators 76725bd1 [0,0,1,-22125,167410156] 1 [-500:7312:1]&[-299:12136:1] 76725bd2 [0,0,1,-18505875,-34278627344] 1 [12100:-1230188:1]&[104050:11100121:8]
76725be (1 curve)	1	3- 5- 11- 31-	1 3- 5-  3 11-  0  3 -3
Curve Equation t Generators 76725be1 [1,-1,0,-892242,325088041] 1 [744:8153:1]

Data from Elliptic Curve Data by J. E. Cremona.
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