Cremona's table of elliptic curves

82775 = 5² · 7 · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
82775a (3 curves)	1	5+ 7+ 11+ 43+	0  2 5+ 7+ 11+  4  0  2
Curve Equation t Generators 82775a1 [0,-1,1,6117,445168] 1 [16192:960272:1331] 82775a2 [0,-1,1,-56383,-13789207] 1 [100673067:27686999522:1331] 82775a3 [0,-1,1,-6452633,-6306758582] 1 [4846451802882014031909092:-1332261723155735965242881503:64060547083457142581]
82775b (2 curves)	1	5+ 7+ 11+ 43+	-1 -2 5+ 7+ 11+  0  0 -8
Curve Equation t Generators 82775b1 [1,0,0,-3763,-103608] 2 [116:954:1] 82775b2 [1,0,0,-62888,-6075233] 2 [3078:39815:8]
82775c (1 curve)	1	5+ 7+ 11+ 43+	2 -1 5+ 7+ 11+ -3  5  5
Curve Equation t Generators 82775c1 [0,-1,1,-81158,-4391907] 1 [62468:1860743:64]
82775d (1 curve)	1	5+ 7+ 11+ 43+	-2  2 5+ 7+ 11+  2  1  4
Curve Equation t Generators 82775d1 [0,-1,1,-78958,-36883432] 1 [2585715:63295046:3375]
82775e (1 curve)	2	5+ 7+ 11+ 43-	-2 -1 5+ 7+ 11+ -5  3  7
Curve Equation t Generators 82775e1 [0,-1,1,-128408,17749968] 1 [-357:4238:1]&[47:3437:1]
82775f (1 curve)	2	5+ 7+ 11- 43+	0  0 5+ 7+ 11- -2 -5 -6
Curve Equation t Generators 82775f1 [0,0,1,-20,126] 1 [-6:5:1]&[18:73:8]
82775g (2 curves)	0	5+ 7+ 11- 43+	0  2 5+ 7+ 11- -2 -3  2
Curve Equation t 82775g1 [0,-1,1,-62282913,189212329108] 1 82775g2 [0,-1,1,-48755113,273611726993] 1
82775h (4 curves)	2	5+ 7+ 11- 43+	-1  0 5+ 7+ 11- -2  2 -4
Curve Equation t Generators 82775h1 [1,-1,1,-20605,1134772] 4 [-91:1545:1]&[734:443:8] 82775h2 [1,-1,1,-35730,-740728] 4 [-102:1405:1]&[-26:425:1] 82775h3 [1,-1,1,136145,-5896978] 2 [104:3010:1]&[6849:564175:1] 82775h4 [1,-1,1,-449605,-115797978] 2 [-377:305:1]&[54100:636887:64]
82775i (2 curves)	1	5+ 7- 11+ 43-	1  2 5+ 7- 11+  6  2 -4
Curve Equation t Generators 82775i1 [1,1,0,-875,-10000] 2 [-42406:52487:2744] 82775i2 [1,1,0,-2250,27125] 2 [140:1505:1]
82775j (1 curve)	1	5+ 7- 11+ 43-	-2 -1 5+ 7- 11+ -2  2  4
Curve Equation t Generators 82775j1 [0,-1,1,1092,-40032] 1 [31:150:1]
82775k (1 curve)	1	5+ 7- 11- 43+	2  2 5+ 7- 11- -1  3 -1
Curve Equation t Generators 82775k1 [0,-1,1,-208,1223] 1 [-6:293:8]
82775l (1 curve)	1	5+ 7- 11- 43+	2  2 5+ 7- 11-  2 -3  8
Curve Equation t Generators 82775l1 [0,-1,1,402292,23625943] 1 [95258:10408955:8]
82775m (2 curves)	0	5+ 7- 11- 43-	1  0 5+ 7- 11-  0  0 -4
Curve Equation t 82775m1 [1,-1,0,-13042,-100146009] 2 82775m2 [1,-1,0,-3314417,-2288957634] 2
82775n (2 curves)	0	5+ 7- 11- 43-	-1  2 5+ 7- 11-  0 -8  8
Curve Equation t 82775n1 [1,1,1,-167213,27463906] 2 82775n2 [1,1,1,-2709588,1715600906] 2
82775o (2 curves)	0	5+ 7- 11- 43-	-1 -2 5+ 7- 11-  4  4  8
Curve Equation t 82775o1 [1,0,0,-188,367] 2 82775o2 [1,0,0,687,2992] 2
82775p (1 curve)	0	5+ 7- 11- 43-	2  2 5+ 7- 11-  3  7 -1
Curve Equation t 82775p1 [0,-1,1,-70518,-7184267] 1
82775q (1 curve)	1	5- 7+ 11+ 43-	0 -1 5- 7+ 11+  7  7 -1
Curve Equation t Generators 82775q1 [0,-1,1,-173,723] 1 [27:122:1]
82775r (2 curves)	1	5- 7+ 11+ 43-	1  0 5- 7+ 11+  2  6  4
Curve Equation t Generators 82775r1 [1,-1,0,-92214617,340860859416] 2 [4386949690609341312780:-1902032836755011014102:790819276159905777] 82775r2 [1,-1,0,-92138992,341447785041] 2 [46917303456:467978443647:7880599]
82775s (2 curves)	1	5- 7+ 11+ 43-	-1 -2 5- 7+ 11+ -2 -2  0
Curve Equation t Generators 82775s1 [1,0,0,-927443,-344029448] 2 [1413:33457:1] 82775s2 [1,0,0,-14841168,-22007699273] 2 [10658:1009815:1]
82775t (1 curve)	1	5- 7+ 11+ 43-	-2  0 5- 7+ 11+ -4 -6  4
Curve Equation t Generators 82775t1 [0,0,1,-125,3906] 1 [0:62:1]
82775u (1 curve)	1	5- 7+ 11- 43+	-2 -2 5- 7+ 11- -3 -7 -1
Curve Equation t Generators 82775u1 [0,1,1,-1762958,-901559256] 1 [-767:12:1]
82775v (2 curves)	2	5- 7+ 11- 43-	1  2 5- 7+ 11-  2 -6 -8
Curve Equation t Generators 82775v1 [1,1,0,-37950,2828375] 2 [1078:2893:8]&[5010:299995:216] 82775v2 [1,1,0,-31075,3894000] 2 [60:1470:1]&[22560:3377220:1]
82775w (1 curve)	2	5- 7+ 11- 43-	-2 -2 5- 7+ 11-  1 -3 -1
Curve Equation t Generators 82775w1 [0,1,1,-5208,142494] 1 [-42:537:1]&[-36:533:1]
82775x (1 curve)	2	5- 7+ 11- 43-	-2 -2 5- 7+ 11- -2  3  8
Curve Equation t Generators 82775x1 [0,1,1,16092,195444] 1 [-12:27:1]&[-1:423:1]
82775y (1 curve)	1	5- 7- 11+ 43+	0  1 5- 7- 11+ -7 -7 -1
Curve Equation t Generators 82775y1 [0,1,1,-4333,81744] 1 [-42:437:1]
82775z (2 curves)	1	5- 7- 11+ 43+	1  2 5- 7- 11+  2  2  0
Curve Equation t Generators 82775z1 [1,1,0,-23186075,-43003681000] 2 [22175233857858311162017337766736630832802328299237577159217710369871244508893080349734568771110572910116360:5772334350567182786981647616999951461949934055110592892099071936416560869084564069491181310888048102541848320:324357807031820198076927493943802822441765389307125460823384002609486574826761321082967435281638974481] 82775z2 [1,1,0,-371029200,-2750962409125] 2 [82321871987165489561489146848075937924079550108659034402484645488320568045605244357114583720351644941011731009301081047472439474591948915308737709000392905339108583402796936282263967310867466697281510893073332844:20713914455066044634957327996495965255945625169212111023106197390963904443340041840596603557908968731789016786182448016773050627332923729823286557668448690472413440342061075610454318109692552485577307282455149500355:1184926483830108923208984237481901222167634527033183063223645641899358547364817694108753353056643045780891522789884964332724732638720227510783502371126158034417768966640448326961739905964013305504613733795776]
82775ba (2 curves)	1	5- 7- 11+ 43+	-1  0 5- 7- 11+ -2 -6  4
Curve Equation t Generators 82775ba1 [1,-1,1,-3688585,2727624592] 2 [1118:-1074:1] 82775ba2 [1,-1,1,-3685560,2732319392] 2 [784:17615:1]
82775bb (1 curve)	1	5- 7- 11+ 43+	2  0 5- 7- 11+  4  6  4
Curve Equation t Generators 82775bb1 [0,0,1,-5,31] 1 [50:121:8]
82775bc (1 curve)	0	5- 7- 11+ 43-	2 -2 5- 7- 11+ -2 -1  4
Curve Equation t 82775bc1 [0,1,1,-3158,-296331] 1
82775bd (2 curves)	2	5- 7- 11- 43+	-1 -2 5- 7- 11- -2  6 -8
Curve Equation t Generators 82775bd1 [1,0,0,-1518,22627] 2 [-314:1347:8]&[-33:209:1] 82775bd2 [1,0,0,-1243,31152] 2 [17:-131:1]&[-13:219:1]
82775be (1 curve)	1	5- 7- 11- 43-	0  0 5- 7- 11-  2  5 -6
Curve Equation t Generators 82775be1 [0,0,1,-500,15781] 1 [25:137:1]
82775bf (2 curves)	1	5- 7- 11- 43-	0 -2 5- 7- 11-  2  3  2
Curve Equation t Generators 82775bf1 [0,1,1,-1557072833,23648426992869] 3 [181914:94321:8] 82775bf2 [0,1,1,-1218877833,34199028118494] 1 [19987134:5770565693:216]

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