Cremona's table of elliptic curves

76995 = 3² · 5 · 29 · 59

Class	r	Atkin-Lehner	Eigenvalues
76995a (1 curve)	0	3+ 5+ 29+ 59-	-1 3+ 5+ -1  4  1 -3  6
Curve Equation t 76995a1 [1,-1,1,-1973,-33398] 1
76995b (1 curve)	2	3+ 5+ 29- 59+	-2 3+ 5+  3 -4 -6 -6 -4
Curve Equation t Generators 76995b1 [0,0,1,-213,1168] 1 [-14:37:1]&[4:19:1]
76995c (1 curve)	1	3+ 5- 29+ 59-	2 3+ 5-  3  4 -6  6 -4
Curve Equation t Generators 76995c1 [0,0,1,-1917,-31543] 1 [-222:131:8]
76995d (1 curve)	1	3+ 5- 29- 59+	1 3+ 5- -1 -4  1  3  6
Curve Equation t Generators 76995d1 [1,-1,0,-219,1310] 1 [14:22:1]
76995e (4 curves)	1	3- 5+ 29+ 59-	1 3- 5+  4  0 -2 -2  0
Curve Equation t Generators 76995e1 [1,-1,0,-2366235,-1400398200] 2 [108792881904870465843696:382504600275655323067773:60993994729120428032] 76995e2 [1,-1,0,-2369880,-1395864549] 4 [1581861512370:101342100968931:334255384] 76995e3 [1,-1,0,-960075,-3042798750] 2 [657567708105478348346:-43634551413552066109001:140450685904858616] 76995e4 [1,-1,0,-3838005,541179576] 2 [-535640:-17635848:343]
76995f (4 curves)	1	3- 5+ 29+ 59-	-1 3- 5+  4  0  2 -6  4
Curve Equation t Generators 76995f1 [1,-1,1,-1557654143,-35806811634394] 2 [1201423711479935208937220551873586885834141247431921075647804940402367691072344955548375837992557698125782916643716023063172678753970227166798668591434167834907284725520318536041061110669558788966498453238127034490435620930916968446379778686:-505089896919330563648201282197316694049104868007753022219418603172828902050209509832419365061142210639049364117263923858358011956594269405451831028044036916312533244972415801991966962145935035151028391998303790577359194313154189627902175593303:6468018554260662899474950107856881776140098474959689556024923968863342556158866895254621812250873767356574506801792943371308716102345090674679964017301685218077004582256626835137187866776547824017962331075240079599180873745805478515281] 76995f2 [1,-1,1,-28324703588,-1834424052501058] 4 [-12201273578925947254750541315174892568496831119185488849870340892295312101238090486683793238584534844402944681739596689728:-69707024969423706105453607501839250768400740968592710285809405738535357728782117715969669033488453367906350289812395823610:126041653244006042600658972508926214300609835392536466098137582369911821170444500496909831258651912442600994880472591] 76995f3 [1,-1,1,-31754406713,-1362248591994808] 2 [-1303577103187128674636193638456548855121827968669230393302019468154:413807736366297080353481588700718103534377129038715166666209596782491:20194088281584638064600880649933040894661817290321445759787793] 76995f4 [1,-1,1,-453167791583,-117418424133067144] 2 [-2140213778270120879302923373369297201182822761598769834011185965306118434428402158811194676505585544910625950268405509465954482625019994154003934448066722280164120901189372908374252277717064393410324111217393342227127756639557565822689776952611:1078283318899365254905172254285223913471975836040654360637089459549199957249328302168686656403615125251146349383271225053024352997788614179751788594996146282253173058376812043235620128280562944242650569158453951386448283699331453928642431293313:5506690672257534502214576098472245192829069438847541091644095387911994987563849240535732855014527928600840411045007467291136974744619596913605212440536695462146823289130860970430741671404084534510595414048055808582582510837994971242761039]
76995g (4 curves)	1	3- 5+ 29+ 59-	-1 3- 5+ -4  0  2  2 -4
Curve Equation t Generators 76995g1 [1,-1,1,1957,165066] 2 [246:3812:1] 76995g2 [1,-1,1,-35888,2466042] 4 [-130:2283:1] 76995g3 [1,-1,1,-112883,-11608644] 2 [-189:1811:1] 76995g4 [1,-1,1,-564413,163349052] 2 [302:4362:1]
76995h (1 curve)	1	3- 5+ 29- 59+	1 3- 5+ -3 -1  6  6 -4
Curve Equation t Generators 76995h1 [1,-1,0,135,130] 1 [38:224:1]
76995i (1 curve)	1	3- 5+ 29- 59+	2 3- 5+  0  1  0  0  2
Curve Equation t Generators 76995i1 [0,0,1,56967,-9975317] 1 [17522:824495:8]
76995j (2 curves)	0	3- 5+ 29- 59-	1 3- 5+ -2  0  0  2 -2
Curve Equation t 76995j1 [1,-1,0,-18585,-948200] 2 76995j2 [1,-1,0,-42480,2010001] 2
76995k (1 curve)	2	3- 5+ 29- 59-	-2 3- 5+ -4  1 -1 -1  5
Curve Equation t Generators 76995k1 [0,0,1,-723,7398] 1 [82:257:8]&[-22:112:1]
76995l (1 curve)	2	3- 5+ 29- 59-	-2 3- 5+ -4 -3 -4  0 -6
Curve Equation t Generators 76995l1 [0,0,1,-47343,3965548] 1 [-38:2389:1]&[124:-41:1]
76995m (1 curve)	1	3- 5- 29+ 59+	0 3- 5- -1 -4  0  2  4
Curve Equation t Generators 76995m1 [0,0,1,-14862,-675185] 1 [-77:112:1]
76995n (1 curve)	0	3- 5- 29+ 59-	0 3- 5-  4  5 -3  5  7
Curve Equation t 76995n1 [0,0,1,-262452,48789220] 1
76995o (1 curve)	0	3- 5- 29+ 59-	1 3- 5-  1  6 -5  1  0
Curve Equation t 76995o1 [1,-1,0,37971,2919078] 1
76995p (1 curve)	0	3- 5- 29+ 59-	2 3- 5- -4  1  5  5  1
Curve Equation t 76995p1 [0,0,1,-494337,86411947] 1
76995q (2 curves)	0	3- 5- 29- 59+	0 3- 5- -1  6  2  6  2
Curve Equation t 76995q1 [0,0,1,-848262,16996140] 1 76995q2 [0,0,1,-48590472,130368584367] 3

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

Part of Computational Number Theory
Back to Tables and computations