Cremona's table of elliptic curves

75075 = 3 · 5² · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
75075a (4 curves)	1	3+ 5+ 7+ 11+ 13+	1 3+ 5+ 7+ 11+ 13+  6  0
Curve Equation t Generators 75075a1 [1,1,0,-11000,16621875] 2 [3650:218675:1] 75075a2 [1,1,0,-1046125,406864000] 4 [3870:28315:8] 75075a3 [1,1,0,-1967500,-419609375] 2 [-695610:25107067:1000] 75075a4 [1,1,0,-16686750,26229535875] 2 [34747620:1494536469:8000]
75075b (4 curves)	1	3+ 5+ 7+ 11+ 13+	-1 3+ 5+ 7+ 11+ 13+ -2 -4
Curve Equation t Generators 75075b1 [1,1,1,-1661188,-824784844] 2 [20502560:1950487284:2197] 75075b2 [1,1,1,-1671313,-814234594] 4 [-824:2485:1] 75075b3 [1,1,1,258062,-2581542094] 2 [3206047:-67706664:2197] 75075b4 [1,1,1,-3762688,1628491406] 2 [1700:11337:1]
75075c (1 curve)	1	3+ 5+ 7+ 11+ 13+	-2 3+ 5+ 7+ 11+ 13+ -6  6
Curve Equation t Generators 75075c1 [0,-1,1,-2458,-46932] 1 [62:187:1]
75075d (1 curve)	2	3+ 5+ 7+ 11+ 13-	0 3+ 5+ 7+ 11+ 13- -3 -1
Curve Equation t Generators 75075d1 [0,-1,1,-500533,136468593] 1 [-603:14787:1]&[307:-3413:1]
75075e (1 curve)	0	3+ 5+ 7+ 11+ 13-	0 3+ 5+ 7+ 11+ 13-  4  7
Curve Equation t 75075e1 [0,-1,1,-819533,285932468] 1
75075f (1 curve)	0	3+ 5+ 7+ 11+ 13-	0 3+ 5+ 7+ 11+ 13-  4 -8
Curve Equation t 75075f1 [0,-1,1,-1786921533,-29073508620532] 1
75075g (4 curves)	0	3+ 5+ 7+ 11+ 13-	1 3+ 5+ 7+ 11+ 13- -2  4
Curve Equation t 75075g1 [1,1,0,1600,73875] 2 75075g2 [1,1,0,-19525,940000] 4 75075g3 [1,1,0,-73150,-6621125] 2 75075g4 [1,1,0,-303900,64355625] 2
75075h (1 curve)	0	3+ 5+ 7+ 11+ 13-	-2 3+ 5+ 7+ 11+ 13-  4  4
Curve Equation t 75075h1 [0,-1,1,-148,-732] 1
75075i (2 curves)	0	3+ 5+ 7+ 11- 13+	0 3+ 5+ 7+ 11- 13+  0 -4
Curve Equation t 75075i1 [0,-1,1,-1832033,994571093] 1 75075i2 [0,-1,1,9528217,2399566718] 1
75075j (2 curves)	2	3+ 5+ 7+ 11- 13+	0 3+ 5+ 7+ 11- 13+  3 -7
Curve Equation t Generators 75075j1 [0,-1,1,-12033,612218] 1 [126:-1040:1]&[-774:7421:8] 75075j2 [0,-1,1,86967,-4300657] 1 [51:514:1]&[737:21437:1]
75075k (2 curves)	0	3+ 5+ 7+ 11- 13+	-1 3+ 5+ 7+ 11- 13+ -2 -2
Curve Equation t 75075k1 [1,1,1,-69720088,453180084656] 2 75075k2 [1,1,1,-1407977463,20320949073906] 2
75075l (1 curve)	0	3+ 5+ 7+ 11- 13+	2 3+ 5+ 7+ 11- 13+  7  1
Curve Equation t 75075l1 [0,-1,1,-277408,-1714718157] 1
75075m (4 curves)	1	3+ 5+ 7+ 11- 13-	1 3+ 5+ 7+ 11- 13-  2 -4
Curve Equation t Generators 75075m1 [1,1,0,-33000,-2314125] 2 [-52088:54587:512] 75075m2 [1,1,0,-48125,0] 4 [-1058:16675:8] 75075m3 [1,1,0,192500,240625] 2 [52820:1693415:64] 75075m4 [1,1,0,-530750,148165875] 2 [7742:182383:8]
75075n (2 curves)	1	3+ 5+ 7+ 11- 13-	-1 3+ 5+ 7+ 11- 13-  6  2
Curve Equation t Generators 75075n1 [1,1,1,1562,-27094] 2 [20:102:1] 75075n2 [1,1,1,-9813,-277344] 2 [-45:297:1]
75075o (1 curve)	0	3+ 5+ 7- 11+ 13+	0 3+ 5+ 7- 11+ 13+ -8  8
Curve Equation t 75075o1 [0,-1,1,-133,-1707] 1
75075p (6 curves)	0	3+ 5+ 7- 11+ 13+	1 3+ 5+ 7- 11+ 13+ -2  4
Curve Equation t 75075p1 [1,1,0,-1511741875,22622766079000] 2 75075p2 [1,1,0,-1560570000,21083264125875] 4 75075p3 [1,1,0,2271383125,108371324360250] 2 75075p4 [1,1,0,-6173773125,-164731944546000] 4 75075p5 [1,1,0,9354686250,-859956599224125] 2 75075p6 [1,1,0,-95513482500,-11361588380805375] 2
75075q (6 curves)	0	3+ 5+ 7- 11+ 13+	1 3+ 5+ 7- 11+ 13+ -2 -4
Curve Equation t 75075q1 [1,1,0,-225375,49014000] 2 75075q2 [1,1,0,-3795500,2844421875] 4 75075q3 [1,1,0,-3985625,2543454000] 4 75075q4 [1,1,0,-60727375,182122896250] 2 75075q5 [1,1,0,7719250,14681409375] 2 75075q6 [1,1,0,-18732500,-28852642875] 2
75075r (1 curve)	0	3+ 5+ 7- 11+ 13+	1 3+ 5+ 7- 11+ 13+  7 -4
Curve Equation t 75075r1 [1,1,0,-80,-315] 1
75075s (1 curve)	0	3+ 5+ 7- 11+ 13+	-2 3+ 5+ 7- 11+ 13+  4 -2
Curve Equation t 75075s1 [0,-1,1,-5208,-1562182] 1
75075t (2 curves)	1	3+ 5+ 7- 11+ 13-	1 3+ 5+ 7- 11+ 13-  2 -2
Curve Equation t Generators 75075t1 [1,1,0,-500,-13125] 2 [50:275:1] 75075t2 [1,1,0,-11875,-502250] 2 [1310:10595:8]
75075u (1 curve)	1	3+ 5+ 7- 11+ 13-	-2 3+ 5+ 7- 11+ 13-  5  1
Curve Equation t Generators 75075u1 [0,-1,1,-929258,360583418] 1 [532:-4063:1]
75075v (4 curves)	0	3+ 5+ 7- 11- 13-	-1 3+ 5+ 7- 11- 13-  2 -4
Curve Equation t 75075v1 [1,1,1,5187787,5983763906] 2 75075v2 [1,1,1,-34998338,60797638406] 4 75075v3 [1,1,1,-190710713,-962855514844] 2 75075v4 [1,1,1,-522263963,4593342482156] 2
75075w (4 curves)	0	3+ 5+ 7- 11- 13-	-1 3+ 5+ 7- 11- 13-  6 -4
Curve Equation t 75075w1 [1,1,1,-1813,-162094] 2 75075w2 [1,1,1,-56938,-5233594] 4 75075w3 [1,1,1,-85813,599156] 2 75075w4 [1,1,1,-910063,-334539844] 2
75075x (1 curve)	0	3+ 5+ 7- 11- 13-	2 3+ 5+ 7- 11- 13-  0  2
Curve Equation t 75075x1 [0,-1,1,-78,293] 1
75075y (1 curve)	0	3+ 5- 7+ 11+ 13+	2 3+ 5- 7+ 11+ 13+  0  4
Curve Equation t 75075y1 [0,-1,1,142,-607] 1
75075z (1 curve)	1	3+ 5- 7+ 11- 13+	-1 3+ 5- 7+ 11- 13+  3  8
Curve Equation t Generators 75075z1 [1,1,1,3412,-394] 1 [4:113:1]
75075ba (1 curve)	1	3+ 5- 7- 11+ 13+	2 3+ 5- 7- 11+ 13+ -3 -7
Curve Equation t Generators 75075ba1 [0,-1,1,-34099458,-76631075557] 1 [188505006237378391719031500812766351546074916762869546:58195431363426804144560671642075607091346137515161932881:1970276991274266159888195467453243622950037972488]
75075bb (1 curve)	0	3+ 5- 7- 11- 13+	2 3+ 5- 7- 11- 13+  3  5
Curve Equation t 75075bb1 [0,-1,1,-588,-5347] 1
75075bc (1 curve)	1	3+ 5- 7- 11- 13-	-2 3+ 5- 7- 11- 13- -1 -3
Curve Equation t Generators 75075bc1 [0,-1,1,2584042,-3260385682] 1 [1492:62562:1]
75075bd (1 curve)	1	3- 5+ 7+ 11+ 13-	0 3- 5+ 7+ 11+ 13- -4  7
Curve Equation t Generators 75075bd1 [0,1,1,165017,-2385806] 1 [794:-25097:1]
75075be (1 curve)	1	3- 5+ 7+ 11+ 13-	0 3- 5+ 7+ 11+ 13- -7 -5
Curve Equation t Generators 75075be1 [0,1,1,-167783,-26592781] 1 [12981:54674:27]
75075bf (2 curves)	1	3- 5+ 7+ 11+ 13-	-1 3- 5+ 7+ 11+ 13-  0 -8
Curve Equation t Generators 75075bf1 [1,0,0,-86638,14834267] 2 [317:-4546:1] 75075bf2 [1,0,0,-1575013,760510142] 2 [797:-3811:1]
75075bg (4 curves)	1	3- 5+ 7+ 11+ 13-	-1 3- 5+ 7+ 11+ 13-  6  4
Curve Equation t Generators 75075bg1 [1,0,0,-2288,21567] 2 [67:379:1] 75075bg2 [1,0,0,-17413,-870808] 4 [-79:155:1] 75075bg3 [1,0,0,462,-2568933] 2 [246:3405:1] 75075bg4 [1,0,0,-277288,-56224183] 2 [-304:155:1]
75075bh (1 curve)	1	3- 5+ 7+ 11+ 13-	2 3- 5+ 7+ 11+ 13-  6 -2
Curve Equation t Generators 75075bh1 [0,1,1,47042,-4119131] 1 [597902634:9783438661:4251528]
75075bi (1 curve)	0	3- 5+ 7+ 11- 13-	0 3- 5+ 7+ 11- 13-  4 -1
Curve Equation t 75075bi1 [0,1,1,-33,-1906] 1
75075bj (1 curve)	0	3- 5+ 7+ 11- 13-	0 3- 5+ 7+ 11- 13-  4  4
Curve Equation t 75075bj1 [0,1,1,-33316283,75681843344] 1
75075bk (4 curves)	0	3- 5+ 7+ 11- 13-	-1 3- 5+ 7+ 11- 13- -6  4
Curve Equation t 75075bk1 [1,0,0,-29313,-3325008] 2 75075bk2 [1,0,0,-557438,-160178133] 4 75075bk3 [1,0,0,-646813,-105391258] 2 75075bk4 [1,0,0,-8918063,-10251452508] 2
75075bl (6 curves)	1	3- 5+ 7- 11+ 13+	1 3- 5+ 7- 11+ 13+ -2  4
Curve Equation t Generators 75075bl1 [1,0,1,438749,160736273] 2 [-357488:45377771:4096] 75075bl2 [1,0,1,-3131376,1674469273] 4 [-10994:470793:8] 75075bl3 [1,0,1,-16334501,-23965999477] 4 [-2643:28621:1] 75075bl4 [1,0,1,-47050251,124208130523] 2 [102574:10158801:8] 75075bl5 [1,0,1,13281124,-101203549477] 2 [39606:2324843:8] 75075bl6 [1,0,1,-257200126,-1587665636977] 2 [-592652:455369:64]
75075bm (6 curves)	1	3- 5+ 7- 11+ 13+	1 3- 5+ 7- 11+ 13+  6  4
Curve Equation t Generators 75075bm1 [1,0,1,15124,198773] 2 [25861131:1974168998:3581577] 75075bm2 [1,0,1,-63001,1605023] 4 [-160047:1687859:729] 75075bm3 [1,0,1,-591126,-173732477] 4 [1043:18042:1] 75075bm4 [1,0,1,-784876,267255023] 2 [1697054861418:2645230525651:3124943128] 75075bm5 [1,0,1,-193001,-403848727] 2 [63252:1201063:64] 75075bm6 [1,0,1,-9439251,-11163103727] 2 [99094:10601187:8]
75075bn (4 curves)	1	3- 5+ 7- 11+ 13+	-1 3- 5+ 7- 11+ 13+  6  8
Curve Equation t Generators 75075bn1 [1,0,0,55412,-5096833] 2 [203:-3913:1] 75075bn2 [1,0,0,-322713,-48581208] 4 [1017:-26496:1] 75075bn3 [1,0,0,-1993338,1045678167] 2 [507:12609:1] 75075bn4 [1,0,0,-4702088,-3924328083] 2 [-1244:1189:1]
75075bo (4 curves)	0	3- 5+ 7- 11+ 13-	1 3- 5+ 7- 11+ 13-  2  8
Curve Equation t 75075bo1 [1,0,1,-4901,-131677] 2 75075bo2 [1,0,1,-8026,55823] 4 75075bo3 [1,0,1,31349,449573] 2 75075bo4 [1,0,1,-97401,11674573] 4
75075bp (1 curve)	0	3- 5+ 7- 11+ 13-	-2 3- 5+ 7- 11+ 13-  0  4
Curve Equation t 75075bp1 [0,1,1,3542,-68756] 1
75075bq (6 curves)	0	3- 5+ 7- 11- 13+	1 3- 5+ 7- 11- 13+ -2  4
Curve Equation t 75075bq1 [1,0,1,-97126,22489523] 2 75075bq2 [1,0,1,-1927251,1029058273] 4 75075bq3 [1,0,1,-2305376,596483273] 4 75075bq4 [1,0,1,-30831126,65889353773] 2 75075bq5 [1,0,1,8151499,4507354523] 2 75075bq6 [1,0,1,-18812251,-30997675477] 2
75075br (1 curve)	1	3- 5+ 7- 11- 13-	1 3- 5+ 7- 11- 13- -3  8
Curve Equation t Generators 75075br1 [1,0,1,85299,-219827] 1 [143:-3933:1]
75075bs (4 curves)	1	3- 5+ 7- 11- 13-	-1 3- 5+ 7- 11- 13- -6 -4
Curve Equation t Generators 75075bs1 [1,0,0,262,10467] 2 [7:109:1] 75075bs2 [1,0,0,-5863,163592] 4 [-13:494:1] 75075bs3 [1,0,0,-17238,-666783] 2 [-63:444:1] 75075bs4 [1,0,0,-92488,10818467] 2 [182:59:1]
75075bt (1 curve)	1	3- 5+ 7- 11- 13-	2 3- 5+ 7- 11- 13-  2 -6
Curve Equation t Generators 75075bt1 [0,1,1,1092,-88531] 1 [714:6821:8]
75075bu (1 curve)	0	3- 5- 7+ 11+ 13-	-1 3- 5- 7+ 11+ 13- -7 -4
Curve Equation t 75075bu1 [1,0,0,-2013,-35358] 1
75075bv (1 curve)	0	3- 5- 7+ 11+ 13-	2 3- 5- 7+ 11+ 13- -4 -2
Curve Equation t 75075bv1 [0,1,1,-208,-12581] 1
75075bw (1 curve)	0	3- 5- 7+ 11+ 13-	-2 3- 5- 7+ 11+ 13-  3 -7
Curve Equation t 75075bw1 [0,1,1,-1363978,-613594196] 1
75075bx (1 curve)	0	3- 5- 7+ 11- 13+	2 3- 5- 7+ 11- 13+  1 -3
Curve Equation t 75075bx1 [0,1,1,103362,-26041741] 1
75075by (1 curve)	0	3- 5- 7+ 11- 13+	-2 3- 5- 7+ 11- 13+  0  2
Curve Equation t 75075by1 [0,1,1,-1958,32744] 1
75075bz (1 curve)	1	3- 5- 7+ 11- 13-	-2 3- 5- 7+ 11- 13- -3  5
Curve Equation t Generators 75075bz1 [0,1,1,-14708,-697756] 1 [4083:260812:1]
75075ca (1 curve)	0	3- 5- 7- 11+ 13+	2 3- 5- 7- 11+ 13+ -4  4
Curve Equation t 75075ca1 [0,1,1,-3708,-98881] 1

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