Cremona's table of elliptic curves

77763 = 3 · 7² · 23²

Class	r	Atkin-Lehner	Eigenvalues
77763a (1 curve)	1	3+ 7- 23-	0 3+  0 7-  2  3  2  3
Curve Equation t Generators 77763a1 [0,-1,1,8467527,94765394891] 1 [-4596385971713552732190919745:116815981249565721767317075378:1218821607588320909050879]
77763b (1 curve)	1	3+ 7- 23-	0 3+  0 7- -5 -4  2  3
Curve Equation t Generators 77763b1 [0,-1,1,-604823,-183461398] 1 [2170:93368:1]
77763c (2 curves)	1	3+ 7- 23-	0 3+  0 7- -6 -5 -6 -1
Curve Equation t Generators 77763c1 [0,-1,1,-160463,24799025] 1 [261:793:1] 77763c2 [0,-1,1,61717,86131814] 1 [-2742:39671:8]
77763d (2 curves)	1	3+ 7- 23-	1 3+  0 7-  0  2  0  8
Curve Equation t Generators 77763d1 [1,1,0,13724630,-85692080249] 2 [15174474168007329264603328642214533412525907252133199320:-1252764944372832710146371975375035337161504743420817455961:2293759686427790392595329835035084369816485903169024] 77763d2 [1,1,0,-227729485,-1233226907198] 2 [-656434103606335206483825070214:-19739039545082426903497468073219:70649495631474910728039064]
77763e (2 curves)	1	3+ 7- 23-	1 3+  0 7-  0  2  0 -8
Curve Equation t Generators 77763e1 [1,1,0,25945,7054272] 2 [153244:6590618:2197] 77763e2 [1,1,0,-430490,101171169] 2 [958:56851:8]
77763f (2 curves)	1	3+ 7- 23-	1 3+  0 7- -4  6  4  2
Curve Equation t Generators 77763f1 [1,1,0,-13500,-2956869] 2 [1764854:48507129:2197] 77763f2 [1,1,0,-402315,-98061018] 2 [640289803972:12160094014167:690807104]
77763g (1 curve)	1	3+ 7- 23-	1 3+  3 7-  0  5  3 -4
Curve Equation t Generators 77763g1 [1,1,0,24,57] 1 [8:25:1]
77763h (1 curve)	1	3+ 7- 23-	1 3+  3 7- -2  0 -1 -2
Curve Equation t Generators 77763h1 [1,1,0,-2372311,-1399554428] 1 [-13437600:43371094:15625]
77763i (1 curve)	1	3+ 7- 23-	1 3+ -3 7-  0  5 -3  4
Curve Equation t Generators 77763i1 [1,1,0,12421,-568434] 1 [6230:49554:125]
77763j (1 curve)	1	3+ 7- 23-	1 3+ -3 7-  2  0  1  2
Curve Equation t Generators 77763j1 [1,1,0,-4484,113079] 1 [6:291:1]
77763k (1 curve)	1	3+ 7- 23-	-1 3+  1 7-  2 -7 -3 -8
Curve Equation t Generators 77763k1 [1,1,1,-19055,-1287742] 1 [176:833:1]
77763l (6 curves)	1	3+ 7- 23-	-1 3+ -2 7- -4  2 -6  4
Curve Equation t Generators 77763l1 [1,1,1,25381,-332368] 2 [36:775:1] 77763l2 [1,1,1,-104224,-2820784] 4 [-113:2800:1] 77763l3 [1,1,1,-1011459,388741842] 2 [-309:26075:1] 77763l4 [1,1,1,-1270669,-551049934] 4 [11558:195237:8] 77763l5 [1,1,1,-881854,-894140290] 2 [1779539560:-297457871543:64000] 77763l6 [1,1,1,-20322604,-35271296278] 2 [-9141927976:4597290719:3511808]
77763m (1 curve)	1	3+ 7- 23-	-1 3+  3 7- -2  1  2 -6
Curve Equation t Generators 77763m1 [1,1,1,-881854,332804324] 1 [62:16653:1]
77763n (1 curve)	1	3+ 7- 23-	-1 3+ -3 7-  2  1  1  0
Curve Equation t Generators 77763n1 [1,1,1,-17808267,29002104270] 1 [2682:21924:1]
77763o (1 curve)	1	3+ 7- 23-	-1 3+ -3 7-  2  1 -2  6
Curve Equation t Generators 77763o1 [1,1,1,-1667,-28078] 1 [48:49:1]
77763p (1 curve)	1	3+ 7- 23-	2 3+  0 7- -1 -2  4 -3
Curve Equation t Generators 77763p1 [0,-1,1,43202,2729145] 1 [7044:189879:64]
77763q (2 curves)	1	3+ 7- 23-	2 3+ -2 7-  2 -1  0  1
Curve Equation t Generators 77763q1 [0,-1,1,-1234,18549] 1 [3246:12059:216] 77763q2 [0,-1,1,-482624,-128993971] 1 [1746686634842903150961844285542:-3521912870005969474173418296988031:429623132030653128835896]
77763r (1 curve)	1	3+ 7- 23-	2 3+  4 7-  5  2  0 -5
Curve Equation t Generators 77763r1 [0,-1,1,-2497056,-1771459621] 1 [14393123306144801666030:977097615349109968842377:2789347132597663000]
77763s (1 curve)	1	3+ 7- 23-	-2 3+  0 7-  4  3  8  4
Curve Equation t Generators 77763s1 [0,-1,1,-993638,438487076] 1 [-26970:562049:27]
77763t (1 curve)	1	3+ 7- 23-	-2 3+  0 7- -4  3 -8 -4
Curve Equation t Generators 77763t1 [0,-1,1,-1878,-35386] 1 [79:550:1]
77763u (1 curve)	1	3- 7+ 23-	0 3-  0 7+  2 -3 -2 -3
Curve Equation t Generators 77763u1 [0,1,1,172807,-276234577] 1 [751:16663:1]
77763v (2 curves)	1	3- 7+ 23-	0 3-  0 7+ -6  5  6  1
Curve Equation t Generators 77763v1 [0,1,1,-7862703,-8490340267] 1 [7492744025264733:5884724813974129:2314110328083] 77763v2 [0,1,1,3024117,-29549260534] 1 [300280567545835065006443719405610921606710409358:304084860867435698717598671702616886351862169809:108526936260491625529101242978988105361212504]
77763w (1 curve)	1	3- 7+ 23-	1 3-  3 7+  0 -5  3 -4
Curve Equation t Generators 77763w1 [1,0,1,608603,196798697] 1 [-656076759320749228390815:58093583033308006833958423:5287313021743363416931]
77763x (1 curve)	1	3- 7+ 23-	1 3- -3 7+  0 -5 -3  4
Curve Equation t Generators 77763x1 [1,0,1,1150,-16075] 1 [53:414:1]
77763y (1 curve)	1	3- 7+ 23-	-1 3- -1 7+  2  7  3  8
Curve Equation t Generators 77763y1 [1,0,0,-933696,438894357] 1 [1229:33269:1]
77763z (1 curve)	1	3- 7+ 23-	-1 3-  3 7+  2 -1 -1  0
Curve Equation t Generators 77763z1 [1,0,0,-363434,-84606159] 1 [715:4246:1]
77763ba (2 curves)	1	3- 7+ 23-	2 3-  2 7+  2  1  0 -1
Curve Equation t Generators 77763ba1 [0,1,1,-60482,-6241441] 1 [22964251178789286:-593406672772008491:30318792560568] 77763ba2 [0,1,1,-23648592,44292229139] 1 [21786:77759:8]
77763bb (1 curve)	2	3- 7- 23-	0 3-  0 7- -5  4 -2 -3
Curve Equation t Generators 77763bb1 [0,1,1,-12343,531346] 1 [-8:793:1]&[1178:11105:8]
77763bc (2 curves)	0	3- 7- 23-	1 3-  4 7-  0  2  4  4
Curve Equation t 77763bc1 [1,0,1,-1776129,932488519] 2 77763bc2 [1,0,1,-28604364,58881476119] 2
77763bd (2 curves)	0	3- 7- 23-	1 3- -4 7-  0  2 -4 -4
Curve Equation t 77763bd1 [1,0,1,-3358,-76933] 2 77763bd2 [1,0,1,-54073,-4844143] 2
77763be (1 curve)	0	3- 7- 23-	-2 3-  2 7-  3 -4  2  5
Curve Equation t 77763be1 [0,1,1,12122388,10204273748] 1
77763bf (1 curve)	2	3- 7- 23-	-2 3- -2 7- -3 -4 -2 -5
Curve Equation t Generators 77763bf1 [0,1,1,22916,-830714] 1 [38:310:1]&[44:514:1]

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

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