Cremona's table of elliptic curves

83475 = 3² · 5² · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
83475a (2 curves)	1	3+ 5+ 7+ 53+	-1 3+ 5+ 7+ -2 -2  4 -2
Curve Equation t Generators 83475a1 [1,-1,1,-7130,317872] 2 [34:-355:1] 83475a2 [1,-1,1,-125255,17091622] 2 [-155:5801:1]
83475b (1 curve)	1	3+ 5+ 7+ 53+	-1 3+ 5+ 7+  3  3 -6 -2
Curve Equation t Generators 83475b1 [1,-1,1,-26438255,-52316950628] 1 [640141222:14005325165:103823]
83475c (1 curve)	1	3+ 5+ 7+ 53+	-1 3+ 5+ 7+ -5 -2 -2  4
Curve Equation t Generators 83475c1 [1,-1,1,-271595,-55495988] 1 [1228654910:39463805011:941192]
83475d (2 curves)	0	3+ 5+ 7+ 53-	1 3+ 5+ 7+  2 -2 -4 -2
Curve Equation t 83475d1 [1,-1,0,-792,-11509] 2 83475d2 [1,-1,0,-13917,-628384] 2
83475e (1 curve)	0	3+ 5+ 7+ 53-	1 3+ 5+ 7+ -3  3  6 -2
Curve Equation t 83475e1 [1,-1,0,-237944292,1412795611241] 1
83475f (1 curve)	0	3+ 5+ 7+ 53-	1 3+ 5+ 7+  5 -2  2  4
Curve Equation t 83475f1 [1,-1,0,-30177,2065466] 1
83475g (1 curve)	0	3+ 5+ 7- 53+	1 3+ 5+ 7- -3  5  2  2
Curve Equation t 83475g1 [1,-1,0,-42,6741] 1
83475h (1 curve)	0	3+ 5+ 7- 53+	-2 3+ 5+ 7-  6 -4 -7  8
Curve Equation t 83475h1 [0,0,1,-9177075,21419570406] 1
83475i (1 curve)	1	3+ 5+ 7- 53-	-1 3+ 5+ 7-  3  5 -2  2
Curve Equation t Generators 83475i1 [1,-1,1,-380,-181628] 1 [74:400:1]
83475j (1 curve)	1	3+ 5+ 7- 53-	2 3+ 5+ 7- -6 -4  7  8
Curve Equation t Generators 83475j1 [0,0,1,-82593675,-578328400969] 1 [5926920:66362369:512]
83475k (2 curves)	0	3+ 5- 7+ 53+	1 3+ 5- 7+  0 -2  2  0
Curve Equation t 83475k1 [1,-1,0,-744387,247382496] 2 83475k2 [1,-1,0,-11910162,15823638621] 2
83475l (2 curves)	1	3+ 5- 7+ 53-	-1 3+ 5- 7+  0 -2 -2  0
Curve Equation t Generators 83475l1 [1,-1,1,-6699485,-6672627908] 2 [-18225752:9015500:12167] 83475l2 [1,-1,1,-107191460,-427131051308] 2 [-159777265973:79874924150:26730899]
83475m (2 curves)	1	3+ 5- 7- 53+	1 3+ 5- 7-  0  2  2  0
Curve Equation t Generators 83475m1 [1,-1,0,-167487117,-834245975584] 2 [-36196565961976811108359365295199036777312953974833426857786739744:23334052756165452434209621363688179556153245870459596608325505872:4833023621588885884184807743774378129186045760309629134092549] 83475m2 [1,-1,0,-2679786492,-53394061199959] 2 [-1678425630456173221296812669996548259033373348991811516837429420713186902650324714336017346679783902393535699457733570533095394496:839309364878025764008634662699670279470790938567298874623759504566725030269179441066813944288823477114944902529253162513036809129:56158588074147702894673092388337430345777866843024749196250122211782516526356271996520670913994053141223338582002539187929088]
83475n (1 curve)	1	3+ 5- 7- 53+	-1 3+ 5- 7-  5  2 -2  4
Curve Equation t Generators 83475n1 [1,-1,1,-754430,257428822] 1 [313:7046:1]
83475o (1 curve)	0	3+ 5- 7- 53-	1 3+ 5- 7- -5  2  2  4
Curve Equation t 83475o1 [1,-1,0,-6789867,-6943788334] 1
83475p (2 curves)	0	3+ 5- 7- 53-	-1 3+ 5- 7-  0  2 -2  0
Curve Equation t 83475p1 [1,-1,1,-18609680,30904202322] 2 83475p2 [1,-1,1,-297754055,1977657073572] 2
83475q (2 curves)	0	3- 5+ 7+ 53+	-1 3- 5+ 7+  6 -2  0  8
Curve Equation t 83475q1 [1,-1,1,-327380,72734622] 2 83475q2 [1,-1,1,-5249255,4630390872] 2
83475r (1 curve)	0	3- 5+ 7+ 53+	2 3- 5+ 7+ -3  6  6 -5
Curve Equation t 83475r1 [0,0,1,-6975,225281] 1
83475s (1 curve)	1	3- 5+ 7+ 53-	0 3- 5+ 7+ -1  0  0  1
Curve Equation t Generators 83475s1 [0,0,1,10950,129906] 1 [56:958:1]
83475t (8 curves)	1	3- 5+ 7+ 53-	-1 3- 5+ 7+  4  2  2 -4
Curve Equation t Generators 83475t1 [1,-1,1,-26842505,-53521493128] 2 [110742:11884025:8] 83475t2 [1,-1,1,-26843630,-53516781628] 4 [33307128306:3574272143795:2406104] 83475t3 [1,-1,1,-24160505,-64641017878] 2 [888275521200946710:-96615296789764789847:64317323007496] 83475t4 [1,-1,1,-29544755,-42091022878] 4 [-8866299:-230171813:2197] 83475t5 [1,-1,1,82083370,-284547310378] 2 [196542:32456975:8] 83475t6 [1,-1,1,-184390880,931581411122] 4 [-4309273119:677359120240:493039] 83475t7 [1,-1,1,76468495,3356008442372] 2 [-443485240282805352:138839560038397061545:82927487411712] 83475t8 [1,-1,1,-2922788255,60820332002372] 2 [817245244340861622:-167332944601186859195:11533984760584]
83475u (6 curves)	1	3- 5+ 7+ 53-	-1 3- 5+ 7+ -4  2 -6 -4
Curve Equation t Generators 83475u1 [1,-1,1,285745,107857622] 2 [-276:2950:1] 83475u2 [1,-1,1,-2415380,1209916622] 4 [-12618:270905:8] 83475u3 [1,-1,1,-11180255,-13252127128] 2 [-17706:212393:8] 83475u4 [1,-1,1,-36868505,86171322872] 4 [2529:94135:1] 83475u5 [1,-1,1,-35096630,94825160372] 2 [34070:1185213:8] 83475u6 [1,-1,1,-589890380,5514634047872] 2 [112982:107805:8]
83475v (1 curve)	1	3- 5+ 7+ 53-	-1 3- 5+ 7+ -5 -4  2  8
Curve Equation t Generators 83475v1 [1,-1,1,-2930,-1219678] 1 [153:1300:1]
83475w (1 curve)	1	3- 5+ 7+ 53-	2 3- 5+ 7+  2 -4  3 -4
Curve Equation t Generators 83475w1 [0,0,1,-24825,-1736469] 1 [66802:6103247:8]
83475x (1 curve)	1	3- 5+ 7- 53+	0 3- 5+ 7- -5 -1  3 -2
Curve Equation t Generators 83475x1 [0,0,1,-4800,-2498094] 1 [1020:32462:1]
83475y (1 curve)	1	3- 5+ 7- 53+	0 3- 5+ 7- -5 -2 -2  1
Curve Equation t Generators 83475y1 [0,0,1,-300,-9594] 1 [26:13:1]
83475z (1 curve)	1	3- 5+ 7- 53+	1 3- 5+ 7-  0 -1 -7 -7
Curve Equation t Generators 83475z1 [1,-1,0,-7992,283041] 1 [64:143:1]
83475ba (4 curves)	1	3- 5+ 7- 53+	1 3- 5+ 7-  0  2  2  8
Curve Equation t Generators 83475ba1 [1,-1,0,-321417,2111616] 2 [-5668224:-192609888:24389] 83475ba2 [1,-1,0,-3481542,-2491227009] 4 [49760180018208:-3669839668629:23100424192] 83475ba3 [1,-1,0,-1871667,-4804617384] 2 [21715344:1489996053:4096] 83475ba4 [1,-1,0,-55653417,-159789430134] 2 [1470995692987421438534112:-16718048938772726652449013531:11389410043199488]
83475bb (2 curves)	1	3- 5+ 7- 53+	-1 3- 5+ 7-  2 -2  8  0
Curve Equation t Generators 83475bb1 [1,-1,1,220,14222] 2 [-6:115:1] 83475bb2 [1,-1,1,-7655,250472] 2 [3:475:1]
83475bc (1 curve)	1	3- 5+ 7- 53+	2 3- 5+ 7- -1 -4  0  7
Curve Equation t Generators 83475bc1 [0,0,1,-15825,-913469] 1 [12207944006:211463656691:34645976]
83475bd (1 curve)	1	3- 5+ 7- 53+	-2 3- 5+ 7- -2 -4  1  4
Curve Equation t Generators 83475bd1 [0,0,1,23325,-765594] 1 [290:5512:1]
83475be (1 curve)	1	3- 5+ 7- 53+	-2 3- 5+ 7-  3 -4 -4 -7
Curve Equation t Generators 83475be1 [0,0,1,3525,-25344] 1 [11:121:1]
83475bf (4 curves)	0	3- 5+ 7- 53-	-1 3- 5+ 7-  0 -6  6  4
Curve Equation t 83475bf1 [1,-1,1,-130505,18178872] 2 83475bf2 [1,-1,1,-131630,17850372] 4 83475bf3 [1,-1,1,47245,62569122] 2 83475bf4 [1,-1,1,-328505,-47905878] 2
83475bg (1 curve)	0	3- 5+ 7- 53-	-1 3- 5+ 7- -3  0 -6  4
Curve Equation t 83475bg1 [1,-1,1,-2615,-50808] 1
83475bh (1 curve)	1	3- 5- 7+ 53+	1 3- 5- 7+ -3  0  6  4
Curve Equation t Generators 83475bh1 [1,-1,0,-65367,-6416334] 1 [2502:14049:8]
83475bi (1 curve)	1	3- 5- 7+ 53+	1 3- 5- 7+ -3 -5 -4 -6
Curve Equation t Generators 83475bi1 [1,-1,0,-1758492,3423343041] 1 [50944:11469153:1]
83475bj (1 curve)	0	3- 5- 7+ 53-	1 3- 5- 7+ -1  5  0 -2
Curve Equation t 83475bj1 [1,-1,0,-41742,3293541] 1
83475bk (2 curves)	0	3- 5- 7+ 53-	1 3- 5- 7+ -4 -4  6 -2
Curve Equation t 83475bk1 [1,-1,0,-3073617,-2067319584] 2 83475bk2 [1,-1,0,-4440492,-45711459] 2
83475bl (1 curve)	2	3- 5- 7+ 53-	-2 3- 5- 7+  0 -2 -1 -6
Curve Equation t Generators 83475bl1 [0,0,1,-279795,56965356] 1 [359:1669:1]&[305:-23:1]
83475bm (1 curve)	0	3- 5- 7- 53+	1 3- 5- 7- -5  4 -2  8
Curve Equation t 83475bm1 [1,-1,0,-117,-9734] 1
83475bn (1 curve)	2	3- 5- 7- 53+	-1 3- 5- 7- -1 -5  0 -2
Curve Equation t Generators 83475bn1 [1,-1,1,-1670,26682] 1 [20:21:1]&[24:-10:1]
83475bo (2 curves)	2	3- 5- 7- 53+	-1 3- 5- 7- -4  4 -6 -2
Curve Equation t Generators 83475bo1 [1,-1,1,-122945,-16513968] 2 [-210:206:1]&[-196:255:1] 83475bo2 [1,-1,1,-177620,-330168] 2 [-412:1875:1]&[-2498:40935:8]
83475bp (1 curve)	0	3- 5- 7- 53+	2 3- 5- 7-  0  2  1 -6
Curve Equation t 83475bp1 [0,0,1,-6994875,7120669531] 1
83475bq (1 curve)	1	3- 5- 7- 53-	-1 3- 5- 7- -3  5  4 -6
Curve Equation t Generators 83475bq1 [1,-1,1,-70340,27400812] 1 [-280:5148:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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