Cremona's table of elliptic curves

73346 = 2 · 7 · 13² · 31

Class	r	Atkin-Lehner	Eigenvalues
73346a (2 curves)	1	2+ 7+ 13+ 31+	2+  1  0 7+ -3 13+ -6  4
Curve Equation t Generators 73346a1 [1,0,1,-186,-2364] 1 [18:5:1] 73346a2 [1,0,1,-20336,-1117868] 1 [136440:865259:729]
73346b (1 curve)	1	2+ 7+ 13+ 31+	2+  1 -2 7+ -5 13+  0 -6
Curve Equation t Generators 73346b1 [1,0,1,-17,964] 1 [-8:28:1]
73346c (2 curves)	1	2+ 7+ 13+ 31+	2+  1  3 7+  0 13+  0  4
Curve Equation t Generators 73346c1 [1,0,1,-933131307,-10974443110122] 1 [3315924480914016265008939909073616462756778160974298208074982673639177241104724785099470251668316571554044793270255378829426473509925483843700232675180891697676268:557641652352978345529965511262599856430030849650132278712501233941609007958082473861045036411064566114229897459888861567770528834887506661843448531324448711204456414:65046907752301891804952938009668385411000011158282087012022123188131536279412844101074728970218239744287982645610233577790736310427762076345289685764204160077] 73346c2 [1,0,1,-75589300427,-7999059819232298] 1 [193342052215206831586792060571600093949516163917139701684645165297076242567998484991999293683072128925549071514727878403289862971571137729714229144953631284185973946497551773065627173032668730802154335366234204472696201549575450066661828158066416438100513796512719319762536094325040110660665761596690077993897465889998575564275334709288760233189090353906642771468738770139478103377892612679125722697752405676343371230362751797268468734237972155967338855394323053642639905749083450660:1795439054943574667505743806206496808512608695379769634973259758943533008796874866698986880259887343519508658637258120652518203348724945638971760734477116287115306958081055031948666130949562252146923244019335984245027342919557431622686653738109506950023396664832226993634762535832711198632477842908741299258268495878448931997493018245187413556915866402055066535550539492741977723676969499515538977491857351769970212037705181458484415209255044079082650836164699720847847710369187829546362:2241746256526560451870112801216929809189819498984801272656980226250832221483028266442338186604917258588298964412336686437076180552223709252925603703535079807586474389138098372240196773308957275216093777516107987341677777120032162428499018171944222182417322702958713118991484555503795025558787750720454294037911165028172550594841627929338446077757501435516913359867998958290967841596622446109954627103074509457378677388909293656772921411284936710667000295684081093149741092519]
73346d (3 curves)	1	2+ 7+ 13+ 31+	2+  1 -3 7+  0 13+ -6 -2
Curve Equation t Generators 73346d1 [1,0,1,-680,35830] 1 [-38:103:1] 73346d2 [1,0,1,6080,-937610] 1 [2406:13909:27] 73346d3 [1,0,1,-570210,-165861330] 1 [1416171732:60200808719:658503]
73346e (1 curve)	1	2+ 7+ 13+ 31+	2+ -1  2 7+  5 13+  4  8
Curve Equation t Generators 73346e1 [1,1,0,-645414,1910348692] 1 [49034587713:4574118938495:5545233]
73346f (1 curve)	1	2+ 7+ 13+ 31+	2+ -1 -3 7+ -4 13+  0 -4
Curve Equation t Generators 73346f1 [1,1,0,-19260699,-47765499491] 1 [37084075957:3414960450651:3442951]
73346g (1 curve)	1	2+ 7+ 13+ 31+	2+  2 -4 7+ -1 13+  1 -7
Curve Equation t Generators 73346g1 [1,1,0,4898,-549180] 1 [1704:2594:27]
73346h (1 curve)	0	2+ 7+ 13+ 31-	2+ -1  1 7+  4 13+  0  4
Curve Equation t 73346h1 [1,1,0,-1017,-12917] 1
73346i (2 curves)	0	2+ 7+ 13+ 31-	2+ -2  2 7+  2 13+ -2  8
Curve Equation t 73346i1 [1,0,1,3545,104106] 2 73346i2 [1,0,1,-23495,1045098] 2
73346j (2 curves)	1	2+ 7- 13+ 31-	2+  2 -2 7-  6 13+  2  4
Curve Equation t Generators 73346j1 [1,1,0,-5411,161465] 2 [40:85:1] 73346j2 [1,1,0,-88221,10048979] 2 [4629:-2192:27]
73346k (1 curve)	1	2+ 7- 13+ 31-	2+ -2  4 7-  1 13+ -3  3
Curve Equation t Generators 73346k1 [1,0,1,-6482844,-11553041446] 1 [9217:839031:1]
73346l (1 curve)	1	2+ 7- 13+ 31-	2+ -3  3 7- -4 13+  2 -6
Curve Equation t Generators 73346l1 [1,-1,0,-399463,-97077083] 1 [8033595105:771776548262:857375]
73346m (2 curves)	0	2- 7+ 13+ 31+	2-  0 -4 7+ -4 13+  6  4
Curve Equation t 73346m1 [1,-1,1,-1646937,-772456135] 2 73346m2 [1,-1,1,1165223,-3140294855] 2
73346n (1 curve)	0	2- 7+ 13+ 31+	2-  1 -1 7+  2 13+ -6 -6
Curve Equation t 73346n1 [1,0,0,-30846,-2090908] 1
73346o (1 curve)	0	2- 7+ 13+ 31+	2- -2 -4 7+ -1 13+ -3 -3
Curve Equation t 73346o1 [1,0,0,-38360,-5261504] 1
73346p (2 curves)	1	2- 7+ 13+ 31-	2-  0  0 7+ -4 13+  2 -8
Curve Equation t Generators 73346p1 [1,-1,1,-731295,240875639] 2 [3533:202554:1] 73346p2 [1,-1,1,-687355,271053631] 2 [-493:22380:1]
73346q (1 curve)	1	2- 7- 13+ 31+	2- -1 -1 7- -4 13+  0 -4
Curve Equation t Generators 73346q1 [1,1,1,-171961,-27519003] 1 [2329825880331276:16878057659396661:4604121067456]
73346r (2 curves)	0	2- 7- 13+ 31-	2-  0  0 7-  2 13+  2  6
Curve Equation t 73346r1 [1,-1,1,-1215,-10201] 2 73346r2 [1,-1,1,-7975,268311] 2
73346s (2 curves)	0	2- 7- 13+ 31-	2-  1  0 7-  3 13+ -6 -4
Curve Equation t 73346s1 [1,0,0,-31353,-5161807] 3 73346s2 [1,0,0,-3436703,-2452518745] 1
73346t (1 curve)	0	2- 7- 13+ 31-	2-  1  1 7-  6 13+ -6 -2
Curve Equation t 73346t1 [1,0,0,-556605,-272046607] 1
73346u (1 curve)	0	2- 7- 13+ 31-	2-  1  2 7-  5 13+  0  6
Curve Equation t 73346u1 [1,0,0,-2792,2121248] 1
73346v (2 curves)	0	2- 7- 13+ 31-	2-  1 -3 7-  0 13+  0 -4
Curve Equation t 73346v1 [1,0,0,-5521487,-4995619591] 3 73346v2 [1,0,0,-447273967,-3640935552359] 1
73346w (1 curve)	0	2- 7- 13+ 31-	2- -1  1 7- -2 13+ -2 -2
Curve Equation t 73346w1 [1,1,1,5320,135819] 1
73346x (1 curve)	2	2- 7- 13+ 31-	2- -1 -2 7- -5 13+  4 -8
Curve Equation t Generators 73346x1 [1,1,1,-3819,868057] 1 [-109:118:1]&[19:-906:1]
73346y (1 curve)	0	2- 7- 13+ 31-	2- -1  3 7-  4 13+  0  4
Curve Equation t 73346y1 [1,1,1,-3255058219,-104924527090791] 1
73346z (2 curves)	0	2- 7- 13+ 31-	2-  2 -2 7-  4 13+  4  4
Curve Equation t 73346z1 [1,1,1,-599869,197312851] 2 73346z2 [1,1,1,-9874589,11939108371] 2
73346ba (1 curve)	0	2- 7- 13+ 31-	2-  2  4 7-  1 13+  1  7
Curve Equation t 73346ba1 [1,1,1,29,-239] 1
73346bb (1 curve)	0	2- 7- 13+ 31-	2- -3 -3 7-  2 13+  2  6
Curve Equation t 73346bb1 [1,-1,1,-22509,9768477] 1

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

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