Cremona's table of elliptic curves

76986 = 2 · 3² · 7 · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
76986a (1 curve)	0	2+ 3+ 7+ 13- 47+	2+ 3+  1 7+ -3 13- -7 -1
Curve Equation t 76986a1 [1,-1,0,99339141,-996539663953] 1
76986b (2 curves)	1	2+ 3+ 7+ 13- 47-	2+ 3+  2 7+  4 13-  0  4
Curve Equation t Generators 76986b1 [1,-1,0,-156021,58374197] 2 [157:6064:1] 76986b2 [1,-1,0,-3404661,2416237109] 2 [-1157:69901:1]
76986c (1 curve)	0	2+ 3+ 7- 13+ 47+	2+ 3+  3 7- -1 13+  7 -5
Curve Equation t 76986c1 [1,-1,0,-63,-1267] 1
76986d (4 curves)	0	2+ 3- 7+ 13+ 47+	2+ 3- -2 7+  4 13+ -2  4
Curve Equation t 76986d1 [1,-1,0,-2583,-15795] 2 76986d2 [1,-1,0,-33003,-2297295] 4 76986d3 [1,-1,0,-24813,-3471741] 2 76986d4 [1,-1,0,-527913,-147503889] 2
76986e (1 curve)	1	2+ 3- 7+ 13+ 47-	2+ 3-  0 7+ -4 13+  4 -7
Curve Equation t Generators 76986e1 [1,-1,0,12138273,-7476255923] 1 [116692151072096059818:15973412144565596585387:6400356435135963]
76986f (1 curve)	1	2+ 3- 7+ 13+ 47-	2+ 3- -1 7+ -1 13+  0  4
Curve Equation t Generators 76986f1 [1,-1,0,-1569345,757173437] 1 [1013:13852:1]
76986g (1 curve)	1	2+ 3- 7+ 13+ 47-	2+ 3- -1 7+ -5 13+  7 -1
Curve Equation t Generators 76986g1 [1,-1,0,3150,-30348] 1 [21:201:1]
76986h (1 curve)	1	2+ 3- 7+ 13+ 47-	2+ 3-  2 7+ -4 13+ -3  4
Curve Equation t Generators 76986h1 [1,-1,0,-141,755] 1 [13:25:1]
76986i (1 curve)	1	2+ 3- 7+ 13+ 47-	2+ 3-  3 7+  3 13+  4 -8
Curve Equation t Generators 76986i1 [1,-1,0,-39438,-3020972] 1 [305811:-40345:1331]
76986j (1 curve)	1	2+ 3- 7+ 13- 47+	2+ 3-  1 7+  3 13- -3  1
Curve Equation t Generators 76986j1 [1,-1,0,-6669,-2012283] 1 [333:-5877:1]
76986k (1 curve)	1	2+ 3- 7+ 13- 47+	2+ 3- -1 7+  3 13- -1 -5
Curve Equation t Generators 76986k1 [1,-1,0,-1853685,-1029290571] 1 [16686:508563:8]
76986l (1 curve)	1	2+ 3- 7+ 13- 47+	2+ 3- -1 7+ -3 13-  5 -5
Curve Equation t Generators 76986l1 [1,-1,0,513765,-26737371] 1 [357:-14394:1]
76986m (1 curve)	1	2+ 3- 7+ 13- 47+	2+ 3-  2 7+  0 13-  5  4
Curve Equation t Generators 76986m1 [1,-1,0,819,297189] 1 [-45:432:1]
76986n (1 curve)	1	2+ 3- 7+ 13- 47+	2+ 3- -3 7+  3 13- -3  5
Curve Equation t Generators 76986n1 [1,-1,0,-40131,3119701] 1 [125:149:1]
76986o (1 curve)	1	2+ 3- 7- 13+ 47+	2+ 3-  3 7-  5 13+  4 -8
Curve Equation t Generators 76986o1 [1,-1,0,-1428,-240688] 1 [77:280:1]
76986p (1 curve)	2	2+ 3- 7- 13+ 47-	2+ 3-  1 7- -3 13+ -3 -5
Curve Equation t Generators 76986p1 [1,-1,0,-60669,5766957] 1 [63:-1512:1]&[-154:21133:8]
76986q (4 curves)	2	2+ 3- 7- 13+ 47-	2+ 3- -2 7-  0 13+ -2  0
Curve Equation t Generators 76986q1 [1,-1,0,-15408,3419824] 2 [-2420:-239576:125]&[-136:1796:1] 76986q2 [1,-1,0,-447588,115008700] 4 [-583:13616:1]&[-100:12650:1] 76986q3 [1,-1,0,-654858,-2098850] 2 [-625:13070:1]&[-1458:85079:8] 76986q4 [1,-1,0,-7155198,7368618154] 2 [-1851:120376:1]&[593:57443:1]
76986r (2 curves)	0	2+ 3- 7- 13+ 47-	2+ 3-  4 7-  0 13+ -6  4
Curve Equation t 76986r1 [1,-1,0,714718755,548845849861893] 2 76986r2 [1,-1,0,-96393904605,11284495488179973] 2
76986s (2 curves)	1	2- 3+ 7+ 13- 47+	2- 3+ -2 7+ -4 13-  0  4
Curve Equation t Generators 76986s1 [1,-1,1,-17336,-2156229] 2 [221:2073:1] 76986s2 [1,-1,1,-378296,-89364165] 2 [-355:489:1]
76986t (1 curve)	0	2- 3+ 7+ 13- 47-	2- 3+ -1 7+  3 13-  7 -1
Curve Equation t 76986t1 [1,-1,1,11037682,36905197215] 1
76986u (1 curve)	2	2- 3+ 7- 13+ 47-	2- 3+ -3 7-  1 13+ -7 -5
Curve Equation t Generators 76986u1 [1,-1,1,-569,34777] 1 [-290:799:8]&[-29:176:1]
76986v (1 curve)	1	2- 3- 7+ 13+ 47+	2- 3-  3 7+  3 13+ -7  1
Curve Equation t Generators 76986v1 [1,-1,1,6529,-54007] 1 [246:3221:8]
76986w (1 curve)	0	2- 3- 7+ 13+ 47-	2- 3- -1 7+  1 13+  7 -7
Curve Equation t 76986w1 [1,-1,1,90469192,3627953996573] 1
76986x (2 curves)	0	2- 3- 7+ 13+ 47-	2- 3- -4 7+  4 13+ -2  2
Curve Equation t 76986x1 [1,-1,1,-84947,-10075165] 2 76986x2 [1,-1,1,-1381487,-624635125] 2
76986y (1 curve)	0	2- 3- 7+ 13- 47+	2- 3-  1 7+  5 13- -3  7
Curve Equation t 76986y1 [1,-1,1,-95702,-12514323] 1
76986z (2 curves)	0	2- 3- 7+ 13- 47+	2- 3-  2 7+ -2 13-  2  8
Curve Equation t 76986z1 [1,-1,1,-201164,-25091377] 2 76986z2 [1,-1,1,-1174604,470194895] 2
76986ba (1 curve)	1	2- 3- 7+ 13- 47-	2- 3- -1 7+ -3 13- -2  2
Curve Equation t Generators 76986ba1 [1,-1,1,-32918,2306985] 1 [105:-55:1]
76986bb (1 curve)	1	2- 3- 7+ 13- 47-	2- 3- -1 7+ -3 13-  3 -3
Curve Equation t Generators 76986bb1 [1,-1,1,1051087,-70863775] 1 [1335:60244:1]
76986bc (1 curve)	1	2- 3- 7+ 13- 47-	2- 3- -1 7+ -3 13-  7  5
Curve Equation t Generators 76986bc1 [1,-1,1,-198608,-37312077] 1 [989:-27567:1]
76986bd (2 curves)	1	2- 3- 7+ 13- 47-	2- 3-  2 7+  0 13- -2  2
Curve Equation t Generators 76986bd1 [1,-1,1,-96016559,-362127299529] 2 [55730539:417907422:4913] 76986bd2 [1,-1,1,-1536287279,-23176591612617] 2 [49739366683:-158285801713698:4913]
76986be (2 curves)	1	2- 3- 7+ 13- 47-	2- 3-  2 7+  0 13- -2 -4
Curve Equation t Generators 76986be1 [1,-1,1,-2399,-28857] 2 [-39:84:1] 76986be2 [1,-1,1,6961,-204825] 2 [33:228:1]
76986bf (2 curves)	1	2- 3- 7+ 13- 47-	2- 3-  2 7+  0 13-  6  6
Curve Equation t Generators 76986bf1 [1,-1,1,1111,-3355] 2 [30:215:8] 76986bf2 [1,-1,1,-4559,-23767] 2 [12126:465443:8]
76986bg (2 curves)	1	2- 3- 7+ 13- 47-	2- 3-  2 7+ -2 13-  2 -4
Curve Equation t Generators 76986bg1 [1,-1,1,-329920574,2306095714253] 2 [10149:-60065:1] 76986bg2 [1,-1,1,-371048414,1694804402765] 2 [-7427:2013903:1]
76986bh (1 curve)	1	2- 3- 7+ 13- 47-	2- 3- -2 7+ -4 13- -3  0
Curve Equation t Generators 76986bh1 [1,-1,1,-324671,-101020953] 1 [2195:97686:1]
76986bi (1 curve)	1	2- 3- 7+ 13- 47-	2- 3-  3 7+ -3 13-  3  1
Curve Equation t Generators 76986bi1 [1,-1,1,-116121371,481822783629] 1 [434324:4858383:64]
76986bj (2 curves)	0	2- 3- 7- 13+ 47+	2- 3-  2 7-  6 13+  2 -4
Curve Equation t 76986bj1 [1,-1,1,-3749,-3747] 2 76986bj2 [1,-1,1,14971,-41187] 2
76986bk (1 curve)	0	2- 3- 7- 13+ 47+	2- 3-  3 7- -5 13+  3  3
Curve Equation t 76986bk1 [1,-1,1,6079,12534513] 1
76986bl (2 curves)	1	2- 3- 7- 13+ 47-	2- 3-  0 7-  4 13+  2 -4
Curve Equation t Generators 76986bl1 [1,-1,1,985,15135] 2 [15:-190:1] 76986bl2 [1,-1,1,-6575,157263] 2 [-79:462:1]
76986bm (3 curves)	1	2- 3- 7- 13- 47+	2- 3-  3 7-  3 13- -6  2
Curve Equation t Generators 76986bm1 [1,-1,1,-2044751,20956580219] 1 [137274255:13228461548:91125] 76986bm2 [1,-1,1,-642113546,6263096219273] 3 [3787:1969327:1] 76986bm3 [1,-1,1,-52011599441,4565618973045569] 3 [352111918669:770016113668:2685619]
76986bn (2 curves)	0	2- 3- 7- 13- 47-	2- 3-  0 7-  0 13-  0 -7
Curve Equation t 76986bn1 [1,-1,1,-16655,-823129] 1 76986bn2 [1,-1,1,-6710,-1799611] 3
76986bo (3 curves)	0	2- 3- 7- 13- 47-	2- 3-  0 7-  0 13-  3  2
Curve Equation t 76986bo1 [1,-1,1,-2259500,-1308252715] 1 76986bo2 [1,-1,1,3178075,-6154377739] 3 76986bo3 [1,-1,1,-29127380,183968562359] 3
76986bp (4 curves)	0	2- 3- 7- 13- 47-	2- 3-  0 7-  0 13-  6  2
Curve Equation t 76986bp1 [1,-1,1,30962650,36049313189] 2 76986bp2 [1,-1,1,-142641410,308121596021] 2 76986bp3 [1,-1,1,-606602525,5856072438053] 6 76986bp4 [1,-1,1,-9754988765,370843749223589] 6
76986bq (2 curves)	0	2- 3- 7- 13- 47-	2- 3-  0 7-  0 13- -6  4
Curve Equation t 76986bq1 [1,-1,1,-90365,11062689] 2 76986bq2 [1,-1,1,-1468175,685087341] 2
76986br (1 curve)	0	2- 3- 7- 13- 47-	2- 3-  0 7-  0 13-  8 -3
Curve Equation t 76986br1 [1,-1,1,948985,18698239] 1
76986bs (1 curve)	0	2- 3- 7- 13- 47-	2- 3-  3 7-  3 13- -4 -6
Curve Equation t 76986bs1 [1,-1,1,394,7273] 1
76986bt (1 curve)	0	2- 3- 7- 13- 47-	2- 3-  3 7- -3 13- -3 -5
Curve Equation t 76986bt1 [1,-1,1,-21641,-1314021] 1
76986bu (1 curve)	2	2- 3- 7- 13- 47-	2- 3- -3 7- -5 13- -7  1
Curve Equation t Generators 76986bu1 [1,-1,1,-2597324,2291479247] 1 [3165:-162107:1]&[-1749:39367:1]

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