Cremona's table of elliptic curves

83655 = 3² · 5 · 11 · 13²

Class	r	Atkin-Lehner	Eigenvalues
83655a (2 curves)	1	3+ 5+ 11+ 13+	1 3+ 5+ -2 11+ 13+  0  2
Curve Equation t Generators 83655a1 [1,-1,0,12390,-124825] 2 [110:1545:1] 83655a2 [1,-1,0,-50985,-974050] 2 [-110:1870:1]
83655b (2 curves)	0	3+ 5+ 11- 13+	-1 3+ 5+  0 11- 13+  0 -2
Curve Equation t 83655b1 [1,-1,1,125197,-34249094] 2 83655b2 [1,-1,1,-1129628,-393630974] 2
83655c (2 curves)	1	3+ 5+ 11- 13-	-1 3+ 5+  2 11- 13- -4 -4
Curve Equation t Generators 83655c1 [1,-1,1,-911618,-334782808] 2 [1660:51363:1] 83655c2 [1,-1,1,-878663,-360131794] 2 [1648:50805:1]
83655d (2 curves)	1	3+ 5+ 11- 13-	-1 3+ 5+ -2 11- 13-  4  4
Curve Equation t Generators 83655d1 [1,-1,1,-48548,4129246] 2 [-224:2042:1] 83655d2 [1,-1,1,-46793,4440232] 2 [118:-802:1]
83655e (2 curves)	0	3+ 5- 11+ 13+	1 3+ 5-  0 11+ 13+  0 -2
Curve Equation t 83655e1 [1,-1,0,13911,1263848] 2 83655e2 [1,-1,0,-125514,14620763] 2
83655f (2 curves)	1	3+ 5- 11+ 13-	1 3+ 5-  2 11+ 13-  4 -4
Curve Equation t Generators 83655f1 [1,-1,0,-8204559,9047340368] 2 [2583675748586782981616:-16415046199344609499560:1434062345001783769] 83655f2 [1,-1,0,-7907964,9731466395] 2 [2039196281102:706019146474289:8036054027]
83655g (2 curves)	1	3+ 5- 11+ 13-	1 3+ 5- -2 11+ 13- -4  4
Curve Equation t Generators 83655g1 [1,-1,0,-5394,-151137] 2 [5518298:-118534125:12167] 83655g2 [1,-1,0,-5199,-162720] 2 [1804:75642:1]
83655h (2 curves)	1	3+ 5- 11- 13+	-1 3+ 5- -2 11- 13+  0  2
Curve Equation t Generators 83655h1 [1,-1,1,111508,3258766] 2 [140:4577:1] 83655h2 [1,-1,1,-458867,26758216] 2 [-406:12286:1]
83655i (1 curve)	0	3- 5+ 11+ 13+	1 3- 5+  3 11+ 13+  4 -2
Curve Equation t 83655i1 [1,-1,0,-5355,82876] 1
83655j (2 curves)	0	3- 5+ 11+ 13+	-1 3- 5+  2 11+ 13+  0  1
Curve Equation t 83655j1 [1,-1,1,-9158,-485598] 1 83655j2 [1,-1,1,-655583,228227172] 1
83655k (2 curves)	0	3- 5+ 11+ 13+	-1 3- 5+ -5 11+ 13+  0 -6
Curve Equation t 83655k1 [1,-1,1,-5591228,-5086977294] 1 83655k2 [1,-1,1,-292794053,1928372129376] 1
83655l (1 curve)	1	3- 5+ 11+ 13-	0 3- 5+ -2 11+ 13-  3  3
Curve Equation t Generators 83655l1 [0,0,1,40092,-3369987] 1 [117:1709:1]
83655m (2 curves)	1	3- 5+ 11+ 13-	-1 3- 5+ -4 11+ 13-  2  2
Curve Equation t Generators 83655m1 [1,-1,1,-43851983,111878376302] 2 [222420:2320837:64] 83655m2 [1,-1,1,-701798558,7156117586882] 2 [26449500:-9040867:1728]
83655n (1 curve)	1	3- 5+ 11+ 13-	2 3- 5+ -4 11+ 13- -1 -7
Curve Equation t Generators 83655n1 [0,0,1,-10803,-449667] 1 [167622:4625045:216]
83655o (1 curve)	1	3- 5+ 11- 13+	-1 3- 5+  2 11- 13+  4  5
Curve Equation t Generators 83655o1 [1,-1,1,-252518,-125624014] 1 [1050294:56669605:343]
83655p (1 curve)	1	3- 5+ 11- 13+	2 3- 5+  0 11- 13+  7 -1
Curve Equation t Generators 83655p1 [0,0,1,-3036423,-2036767847] 1 [10899788232372771654:312667689957726376943:4498498662054552]
83655q (1 curve)	1	3- 5+ 11- 13+	2 3- 5+ -3 11- 13+  4 -4
Curve Equation t Generators 83655q1 [0,0,1,897,-38867] 1 [1058:12371:8]
83655r (1 curve)	0	3- 5+ 11- 13-	0 3- 5+  2 11- 13- -7  5
Curve Equation t 83655r1 [0,0,1,-170825538,-859364981537] 1
83655s (2 curves)	1	3- 5- 11+ 13+	0 3- 5- -2 11+ 13+  3 -5
Curve Equation t Generators 83655s1 [0,0,1,-8112,-474003] 1 [117:422:1] 83655s2 [0,0,1,67938,8522712] 1 [-702:10981:8]
83655t (4 curves)	1	3- 5- 11+ 13+	1 3- 5-  0 11+ 13+ -6  4
Curve Equation t Generators 83655t1 [1,-1,0,1236,-13285] 2 [71368:829089:512] 83655t2 [1,-1,0,-6369,-115192] 4 [-56:280:1] 83655t3 [1,-1,0,-44394,3527603] 2 [4622:102143:8] 83655t4 [1,-1,0,-90024,-10371295] 2 [-11020:8625:64]
83655u (2 curves)	1	3- 5- 11+ 13+	1 3- 5- -2 11+ 13+ -2 -8
Curve Equation t Generators 83655u1 [1,-1,0,-26649,-1933632] 2 [4404:289830:1] 83655u2 [1,-1,0,-444924,-114114987] 2 [955554:62303695:216]
83655v (1 curve)	1	3- 5- 11+ 13+	1 3- 5- -2 11+ 13+  4 -5
Curve Equation t Generators 83655v1 [1,-1,0,-1494,-56835] 1 [720732:7955391:4913]
83655w (4 curves)	1	3- 5- 11+ 13+	-1 3- 5- -4 11+ 13+ -2 -4
Curve Equation t Generators 83655w1 [1,-1,1,-68477,6912884] 4 [154:-33:1] 83655w2 [1,-1,1,-76082,5288456] 4 [-276:2419:1] 83655w3 [1,-1,1,220513,36252974] 2 [244:-10347:1] 83655w4 [1,-1,1,-494357,-129730714] 2 [-441:1759:1]
83655x (1 curve)	1	3- 5- 11+ 13+	2 3- 5- -4 11+ 13+ -5  5
Curve Equation t Generators 83655x1 [0,0,1,-594970077,-5625483631713] 1 [31683122655590053642069927759031296678647389367464461191114:1777527738674197550633356938426452128015947650587203270424453:1069203293111910052674162704963230598382306165552334184]
83655y (1 curve)	1	3- 5- 11+ 13+	-2 3- 5-  0 11+ 13+  3  1
Curve Equation t Generators 83655y1 [0,0,1,65403,123843242] 1 [832:27462:1]
83655z (1 curve)	1	3- 5- 11+ 13+	-2 3- 5-  3 11+ 13+  4  4
Curve Equation t Generators 83655z1 [0,0,1,151593,-85390250] 1 [1183:41827:1]
83655ba (1 curve)	0	3- 5- 11+ 13-	0 3- 5- -2 11+ 13- -7 -5
Curve Equation t 83655ba1 [0,0,1,-1010802,-391153838] 1
83655bb (2 curves)	0	3- 5- 11- 13+	1 3- 5-  2 11- 13+  6  0
Curve Equation t 83655bb1 [1,-1,0,72216,-4712837] 2 83655bb2 [1,-1,0,-346059,-40768142] 2
83655bc (2 curves)	0	3- 5- 11- 13+	1 3- 5- -2 11- 13+  0 -1
Curve Equation t 83655bc1 [1,-1,0,-1547649,-1071501170] 1 83655bc2 [1,-1,0,-110793474,501082717045] 1
83655bd (4 curves)	0	3- 5- 11- 13+	1 3- 5- -4 11- 13+ -6  0
Curve Equation t 83655bd1 [1,-1,0,-110451249,446818247968] 2 83655bd2 [1,-1,0,-110458854,446753646535] 4 83655bd3 [1,-1,0,-96321159,565303874188] 2 83655bd4 [1,-1,0,-124718229,324068835910] 2
83655be (2 curves)	0	3- 5- 11- 13+	1 3- 5-  5 11- 13+  0  6
Curve Equation t 83655be1 [1,-1,0,-33084,-2307785] 1 83655be2 [1,-1,0,-1732509,878129500] 1
83655bf (8 curves)	0	3- 5- 11- 13+	-1 3- 5-  0 11- 13+ -2 -4
Curve Equation t 83655bf1 [1,-1,1,-6785074562,-215117937752376] 2 83655bf2 [1,-1,1,-6785082167,-215117431408434] 4 83655bf3 [1,-1,1,-6673859042,-222510565994934] 2 83655bf4 [1,-1,1,-6896426972,-207691890900906] 4 83655bf5 [1,-1,1,5700259273,-881317323213024] 2 83655bf6 [1,-1,1,-21274630097,941166797755344] 4 83655bf7 [1,-1,1,47332926778,5760655567064844] 2 83655bf8 [1,-1,1,-319933436972,69648461564008344] 2
83655bg (1 curve)	0	3- 5- 11- 13+	-1 3- 5- -3 11- 13+  4  2
Curve Equation t 83655bg1 [1,-1,1,-905027,179363526] 1
83655bh (1 curve)	0	3- 5- 11- 13+	-2 3- 5-  4 11- 13+ -3 -1
Curve Equation t 83655bh1 [0,0,1,14703,29110] 1
83655bi (1 curve)	1	3- 5- 11- 13-	0 3- 5-  2 11- 13-  3 -3
Curve Equation t Generators 83655bi1 [0,0,1,6775548,-7403860890] 1 [29406:961174:27]
83655bj (2 curves)	1	3- 5- 11- 13-	1 3- 5-  4 11- 13-  2 -2
Curve Equation t Generators 83655bj1 [1,-1,0,-259479,50983128] 2 [292:74:1] 83655bj2 [1,-1,0,-4152654,3258180693] 2 [-15858:494415:8]
83655bk (1 curve)	1	3- 5- 11- 13-	-2 3- 5-  4 11- 13- -1  7
Curve Equation t Generators 83655bk1 [0,0,1,-1825707,-987917850] 1 [2028:60417:1]

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

Part of Computational Number Theory
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