Cremona's table of elliptic curves

80688 = 2⁴ · 3 · 41²

Class	r	Atkin-Lehner	Eigenvalues
80688a (1 curve)	1	2+ 3+ 41+	2+ 3+ -1 -2  2  3  3  7
Curve Equation t Generators 80688a1 [0,-1,0,308744,-117631088] 1 [71472:3745268:27]
80688b (2 curves)	1	2+ 3+ 41+	2+ 3+  2 -2  4 -6  0  0
Curve Equation t Generators 80688b1 [0,-1,0,-390552,-42779520] 2 [4440:292800:1] 80688b2 [0,-1,0,-3147392,2120788512] 2 [71098025:4474099656:15625]
80688c (1 curve)	1	2+ 3+ 41+	2+ 3+  2  4  5  0  3 -2
Curve Equation t Generators 80688c1 [0,-1,0,-970497,368320797] 1 [39619684:758670601:103823]
80688d (1 curve)	1	2+ 3+ 41+	2+ 3+ -2  0  1 -4  7  2
Curve Equation t Generators 80688d1 [0,-1,0,-620849,-287188515] 1 [3147676171836328604:43063686335909848843:3011749660252997]
80688e (6 curves)	1	2+ 3+ 41+	2+ 3+ -2  0  4  2 -2 -4
Curve Equation t Generators 80688e1 [0,-1,0,1121,-18242] 2 [10571806986:-210696927440:26730899] 80688e2 [0,-1,0,-7284,-176256] 4 [-66196:268640:2197] 80688e3 [0,-1,0,-40904,3051264] 4 [-32:2080:1] 80688e4 [0,-1,0,-108144,-13651152] 2 [-162438803059:28004946280:854670349] 80688e5 [0,-1,0,26336,12034528] 2 [-27:3362:1] 80688e6 [0,-1,0,-646064,200091360] 2 [1490:50430:1]
80688f (1 curve)	0	2+ 3- 41+	2+ 3-  0 -2 -3  6  7  0
Curve Equation t 80688f1 [0,1,0,11207,-1701421] 1
80688g (2 curves)	0	2+ 3- 41+	2+ 3-  2  2 -4  6  0  0
Curve Equation t 80688g1 [0,1,0,-232,-700] 2 80688g2 [0,1,0,-1872,30132] 2
80688h (1 curve)	0	2- 3+ 41+	2- 3+  0 -2 -1  2  1 -4
Curve Equation t 80688h1 [0,-1,0,-22413,-1411791] 1
80688i (1 curve)	0	2- 3+ 41+	2- 3+  0  4  5 -7 -2  2
Curve Equation t 80688i1 [0,-1,0,-888,6768] 1
80688j (1 curve)	0	2- 3+ 41+	2- 3+  1 -1 -4  4  2 -2
Curve Equation t 80688j1 [0,-1,0,-5480,164208] 1
80688k (1 curve)	0	2- 3+ 41+	2- 3+  1  2  2  7 -7  7
Curve Equation t 80688k1 [0,-1,0,-7262480,7537696704] 1
80688l (2 curves)	0	2- 3+ 41+	2- 3+ -1 -2  0 -1  3  1
Curve Equation t 80688l1 [0,-1,0,-4801496,-4366607376] 1 80688l2 [0,-1,0,6225864,298400588784] 1
80688m (1 curve)	0	2- 3+ 41+	2- 3+ -2  2 -1  1 -4 -2
Curve Equation t 80688m1 [0,-1,0,-324624,-71000640] 1
80688n (2 curves)	0	2- 3+ 41+	2- 3+ -2  2 -4  4  2 -8
Curve Equation t 80688n1 [0,-1,0,-1789144,-915312656] 2 80688n2 [0,-1,0,-713304,-2006644752] 2
80688o (1 curve)	0	2- 3+ 41+	2- 3+ -2 -4  5  4  5 -2
Curve Equation t 80688o1 [0,-1,0,17931,2158653] 1
80688p (1 curve)	0	2- 3+ 41+	2- 3+  3 -2  2 -1 -5 -1
Curve Equation t 80688p1 [0,-1,0,-1116744,466926576] 1
80688q (2 curves)	1	2- 3+ 41-	2- 3+  0 -2 -3 -1  6  4
Curve Equation t Generators 80688q1 [0,-1,0,-114868,9876124] 1 [149163:2222282:343] 80688q2 [0,-1,0,-8385388,9348947308] 1 [14107352847:8415699970:8365427]
80688r (1 curve)	1	2- 3+ 41-	2- 3+  2  2  3  3  0 -6
Curve Equation t Generators 80688r1 [0,-1,0,-390552,92857008] 1 [1052816:12549349:4096]
80688s (1 curve)	1	2- 3+ 41-	2- 3+ -2 -1  4  5  2 -5
Curve Equation t Generators 80688s1 [0,-1,0,-183789,30621345] 1 [5:5450:1]
80688t (1 curve)	1	2- 3+ 41-	2- 3+ -2 -2 -1 -5  4 -6
Curve Equation t Generators 80688t1 [0,-1,0,-30164424,-62696930832] 1 [-190492:1702853:64]
80688u (1 curve)	1	2- 3+ 41-	2- 3+ -2  4 -1 -5 -8  0
Curve Equation t Generators 80688u1 [0,-1,0,-7284,-236772] 1 [137:1148:1]
80688v (1 curve)	1	2- 3+ 41-	2- 3+  4  2  1 -1  2  4
Curve Equation t Generators 80688v1 [0,-1,0,-309432316,616603607788] 1 [2296956325765773775162099223019878645957354541240326429908859444599854382462097925989688949721029926340032585294533026208153026033355727:379626237368576396177884654565318925731575246455973490936423289786531233449857240921344657852909920827664477223242007679658398290854188550:64637962158636497531175878181945364581286346891808809776429462419429143200626250707391903293366775636659313435045926270561914417891]
80688w (2 curves)	1	2- 3- 41+	2- 3-  0  2  3  1 -6 -4
Curve Equation t Generators 80688w1 [0,1,0,-68,120] 1 [7:6:1] 80688w2 [0,1,0,-4988,133944] 1 [13881:90:343]
80688x (2 curves)	1	2- 3- 41+	2- 3-  1 -2  2  1  7  5
Curve Equation t Generators 80688x1 [0,1,0,-4707360,122765657076] 1 [1489434:1817739264:1] 80688x2 [0,1,0,-15587173920,749024758284276] 1 [34526436978210:42022603385497504:23149125]
80688y (2 curves)	1	2- 3- 41+	2- 3- -1  2  0  1 -3 -1
Curve Equation t Generators 80688y1 [0,1,0,-2856,-64332] 1 [68:246:1] 80688y2 [0,1,0,3704,4330868] 1 [68:-2214:1]
80688z (1 curve)	1	2- 3- 41+	2- 3-  2 -2 -3 -3  0  6
Curve Equation t Generators 80688z1 [0,1,0,-232,1268] 1 [7:6:1]
80688ba (1 curve)	1	2- 3- 41+	2- 3- -2  1 -4 -5 -2  5
Curve Equation t Generators 80688ba1 [0,1,0,-109,407] 1 [7:6:1]
80688bb (1 curve)	1	2- 3- 41+	2- 3- -2  2  1  5 -4  6
Curve Equation t Generators 80688bb1 [0,1,0,-17944,-915820] 1 [-73:102:1]
80688bc (2 curves)	1	2- 3- 41+	2- 3- -2  2  4 -4  2  0
Curve Equation t Generators 80688bc1 [0,1,0,-12208000824,519172310165076] 2 [1785126:-2380618752:1] 80688bc2 [0,1,0,-12190787384,520709394617940] 2 [-122522:13232832:1]
80688bd (4 curves)	1	2- 3- 41+	2- 3- -2  4 -4 -2 -2 -4
Curve Equation t Generators 80688bd1 [0,1,0,-242624,-43092684] 2 [32340:1005238:27] 80688bd2 [0,1,0,-780544,214033076] 4 [-3070:1908816:125] 80688bd3 [0,1,0,1640096,1280082932] 2 [2137441060:-121317218022:1520875] 80688bd4 [0,1,0,-11807904,15612638580] 4 [-30:126360:1]
80688be (1 curve)	1	2- 3- 41+	2- 3- -2 -4  1  5  8  0
Curve Equation t Generators 80688be1 [0,1,0,-12244964,-16489989960] 1 [33836389695247939:1472986178638022364:6765209774497]
80688bf (1 curve)	1	2- 3- 41+	2- 3- -2 -4 -5 -4  5 -6
Curve Equation t Generators 80688bf1 [0,1,0,17931,-47646513] 1 [519:10086:1]
80688bg (2 curves)	1	2- 3- 41+	2- 3-  3  2 -6  1 -3  5
Curve Equation t Generators 80688bg1 [0,1,0,-40904,-10494732] 1 [8596:796794:1] 80688bg2 [0,1,0,362536,259810068] 1 [368128740:34203976038:42875]
80688bh (1 curve)	1	2- 3- 41+	2- 3-  4 -2 -1  1 -2 -4
Curve Equation t Generators 80688bh1 [0,1,0,-184076,8883672] 1 [1663:65610:1]
80688bi (2 curves)	1	2- 3- 41+	2- 3- -4 -2 -3  6 -3  0
Curve Equation t Generators 80688bi1 [0,1,0,-277925,-60334701] 1 [8350:761493:1] 80688bi2 [0,1,0,528955,3953893299] 1 [895879522302054:82323837027113745:107646386093]
80688bj (1 curve)	0	2- 3- 41-	2- 3-  0 -4 -5  7  2 -2
Curve Equation t 80688bj1 [0,1,0,-1493288,445553844] 1
80688bk (1 curve)	0	2- 3- 41-	2- 3-  1  1  4 -4 -2  2
Curve Equation t 80688bk1 [0,1,0,-9212440,11188407956] 1
80688bl (1 curve)	0	2- 3- 41-	2- 3- -2 -2  1 -1  4  2
Curve Equation t 80688bl1 [0,1,0,-545693504,-4901074815948] 1

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