Cremona's table of elliptic curves

113568 = 2⁵ · 3 · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
113568a (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  1 7+  0 13+  0 -1
Curve Equation t Generators 113568a1 [0,-1,0,84275,1121509] 1 [35:2028:1]
113568b (4 curves)	1	2+ 3+ 7+ 13+	2+ 3+  2 7+ -4 13+ -2  4
Curve Equation t Generators 113568b1 [0,-1,0,-2422,43120] 4 [19:60:1] 113568b2 [0,-1,0,2648,195220] 2 [357:6820:1] 113568b3 [0,-1,0,-8337,-241983] 2 [-3516:13905:64] 113568b4 [0,-1,0,-37912,2853928] 2 [24132:414895:64]
113568c (4 curves)	1	2+ 3+ 7+ 13+	2+ 3+ -2 7+  0 13+ -6 -4
Curve Equation t Generators 113568c1 [0,-1,0,-1545054,735263424] 4 [-1353:18630:1] 113568c2 [0,-1,0,-586824,1635999624] 2 [-157295:2437586:125] 113568c3 [0,-1,0,-2544689,-331746975] 2 [-140892250:-1732399245:97336] 113568c4 [0,-1,0,-24679464,47198412468] 2 [-5412:149058:1]
113568d (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+ -2 7+  0 13+  7 -6
Curve Equation t Generators 113568d1 [0,-1,0,8056,8969700] 1 [3016:165706:1]
113568e (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+ -2 7+ -3 13+  3 -1
Curve Equation t Generators 113568e1 [0,-1,0,-144824,-21165132] 1 [676:13762:1]
113568f (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  3 7+  3 13+  1 -3
Curve Equation t Generators 113568f1 [0,-1,0,-18984,-2176188] 1 [21062440:443108198:42875]
113568g (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  3 7+ -6 13+ -3 -2
Curve Equation t Generators 113568g1 [0,-1,0,-530209,-148526639] 1 [1045:20916:1]
113568h (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  4 7+ -3 13+ -3  5
Curve Equation t Generators 113568h1 [0,-1,0,-56,168] 1 [26:25:8]
113568i (1 curve)	0	2+ 3+ 7+ 13-	2+ 3+  1 7+ -6 13-  6  1
Curve Equation t 113568i1 [0,-1,0,-591725,-175163067] 1
113568j (1 curve)	0	2+ 3+ 7+ 13-	2+ 3+ -1 7+ -1 13-  3 -5
Curve Equation t 113568j1 [0,-1,0,-114976,20473192] 1
113568k (1 curve)	0	2+ 3+ 7+ 13-	2+ 3+ -1 7+ -6 13- -2  5
Curve Equation t 113568k1 [0,-1,0,848259,-270573291] 1
113568l (2 curves)	0	2+ 3+ 7+ 13-	2+ 3+  2 7+  0 13- -2  8
Curve Equation t 113568l1 [0,-1,0,-82,-248] 2 113568l2 [0,-1,0,48,-1080] 2
113568m (2 curves)	0	2+ 3+ 7+ 13-	2+ 3+  2 7+  2 13-  6  4
Curve Equation t 113568m1 [0,-1,0,-862,-9452] 2 113568m2 [0,-1,0,-1057,-4655] 2
113568n (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  1 7- -1 13+ -5  3
Curve Equation t 113568n1 [0,-1,0,-2145680,1438959144] 1
113568o (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  1 7-  2 13+  1  6
Curve Equation t 113568o1 [0,-1,0,43831615,-132043541007] 1
113568p (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  1 7-  4 13+  0 -7
Curve Equation t 113568p1 [0,-1,0,-2606205,-1618652907] 1
113568q (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  2 7- -1 13+ -3 -5
Curve Equation t 113568q1 [0,-1,0,-4350792,-2925686232] 1
113568r (2 curves)	0	2+ 3+ 7- 13+	2+ 3+  2 7- -4 13+  0  4
Curve Equation t 113568r1 [0,-1,0,958,399372] 2 113568r2 [0,-1,0,-75937,7888945] 2
113568s (4 curves)	0	2+ 3+ 7- 13+	2+ 3+ -2 7-  0 13+  2 -4
Curve Equation t 113568s1 [0,-1,0,-3774,72864] 4 113568s2 [0,-1,0,8056,427764] 2 113568s3 [0,-1,0,-18984,-937080] 2 113568s4 [0,-1,0,-57009,5257953] 2
113568t (2 curves)	0	2+ 3+ 7- 13+	2+ 3+ -2 7-  0 13+ -4 -4
Curve Equation t 113568t1 [0,-1,0,-865674,-310541700] 2 113568t2 [0,-1,0,-13860929,-19858004271] 2
113568u (4 curves)	0	2+ 3+ 7- 13+	2+ 3+ -2 7- -4 13+ -2  0
Curve Equation t 113568u1 [0,-1,0,-7154,-28536] 4 113568u2 [0,-1,0,28336,-255672] 2 113568u3 [0,-1,0,-73064,7590660] 4 113568u4 [0,-1,0,-84049,-9332831] 2
113568v (1 curve)	0	2+ 3+ 7- 13+	2+ 3+  3 7-  0 13+ -4  1
Curve Equation t 113568v1 [0,-1,0,-634989,1007177157] 1
113568w (2 curves)	0	2+ 3+ 7- 13+	2+ 3+  4 7- -2 13+  0 -4
Curve Equation t 113568w1 [0,-1,0,35434,-3733692] 2 113568w2 [0,-1,0,-254401,-38803727] 2
113568x (2 curves)	0	2+ 3- 7+ 13+	2+ 3-  0 7+ -2 13+  4 -4
Curve Equation t 113568x1 [0,1,0,282,-9996] 2 113568x2 [0,1,0,-5633,-155505] 2
113568y (2 curves)	0	2+ 3- 7+ 13+	2+ 3-  0 7+  6 13+  8 -4
Curve Equation t 113568y1 [0,1,0,-60558,7720740] 2 113568y2 [0,1,0,-1060193,419770287] 2
113568z (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  2 7+  0 13+  7 -6
Curve Equation t 113568z1 [0,1,0,48,-4068] 1
113568ba (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  2 7+  1 13+ -3  5
Curve Equation t 113568ba1 [0,1,0,-4350792,2925686232] 1
113568bb (2 curves)	0	2+ 3- 7+ 13+	2+ 3-  2 7+  4 13+  0 -4
Curve Equation t 113568bb1 [0,1,0,958,-399372] 2 113568bb2 [0,1,0,-75937,-7888945] 2
113568bc (4 curves)	0	2+ 3- 7+ 13+	2+ 3- -2 7+  0 13+  2  4
Curve Equation t 113568bc1 [0,1,0,-3774,-72864] 4 113568bc2 [0,1,0,8056,-427764] 2 113568bc3 [0,1,0,-18984,937080] 2 113568bc4 [0,1,0,-57009,-5257953] 2
113568bd (2 curves)	0	2+ 3- 7+ 13+	2+ 3- -2 7+  0 13+ -4  4
Curve Equation t 113568bd1 [0,1,0,-865674,310541700] 2 113568bd2 [0,1,0,-13860929,19858004271] 2
113568be (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  3 7+  0 13+ -4 -1
Curve Equation t 113568be1 [0,1,0,-634989,-1007177157] 1
113568bf (1 curve)	2	2+ 3- 7+ 13+	2+ 3- -3 7+  0 13+  0 -5
Curve Equation t Generators 113568bf1 [0,1,0,-4957,-237301] 1 [173:-2028:1]&[589:14196:1]
113568bg (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -3 7+ -5 13+  1  5
Curve Equation t 113568bg1 [0,1,0,49968,-1685124] 1
113568bh (1 curve)	2	2+ 3- 7+ 13+	2+ 3- -3 7+ -6 13+ -3 -2
Curve Equation t Generators 113568bh1 [0,1,0,-3137,66639] 1 [-65:12:1]&[55:-252:1]
113568bi (1 curve)	1	2+ 3- 7+ 13-	2+ 3-  1 7+ -1 13-  3 -5
Curve Equation t Generators 113568bi1 [0,1,0,-680,-9528] 1 [82:702:1]
113568bj (1 curve)	1	2+ 3- 7+ 13-	2+ 3-  1 7+ -6 13- -2  5
Curve Equation t Generators 113568bj1 [0,1,0,143355715,593876097387] 1 [-14940739:1770097116:4913]
113568bk (2 curves)	1	2+ 3- 7+ 13-	2+ 3- -2 7+  0 13- -2  8
Curve Equation t Generators 113568bk1 [0,1,0,-13914,600432] 2 [531015:5152724:3375] 113568bk2 [0,1,0,8056,2340456] 2 [562:13590:1]
113568bl (2 curves)	1	2+ 3- 7+ 13-	2+ 3- -2 7+  2 13-  6  4
Curve Equation t Generators 113568bl1 [0,1,0,-145734,21348900] 2 [209:252:1] 113568bl2 [0,1,0,-178689,10941711] 2 [-12988:399105:64]
113568bm (1 curve)	1	2+ 3- 7- 13+	2+ 3-  1 7-  0 13+  0  1
Curve Equation t Generators 113568bm1 [0,1,0,84275,-1121509] 1 [134:3549:1]
113568bn (1 curve)	1	2+ 3- 7- 13+	2+ 3- -1 7-  2 13+  1  6
Curve Equation t Generators 113568bn1 [0,1,0,259359,60181551] 1 [-153:4116:1]
113568bo (4 curves)	1	2+ 3- 7- 13+	2+ 3-  2 7-  4 13+ -2 -4
Curve Equation t Generators 113568bo1 [0,1,0,-2422,-43120] 4 [-82586:160425:2744] 113568bo2 [0,1,0,2648,-195220] 2 [3176219914:32141104575:33386248] 113568bo3 [0,1,0,-8337,241983] 2 [-78:651:1] 113568bo4 [0,1,0,-37912,-2853928] 2 [-130277837550:-2873118347:1157625000]
113568bp (4 curves)	1	2+ 3- 7- 13+	2+ 3- -2 7-  0 13+ -6  4
Curve Equation t Generators 113568bp1 [0,1,0,-1545054,-735263424] 4 [-5382:3021:8] 113568bp2 [0,1,0,-586824,-1635999624] 2 [2038842:-1029269805:8] 113568bp3 [0,1,0,-2544689,331746975] 2 [-662:41553:1] 113568bp4 [0,1,0,-24679464,-47198412468] 2 [-3416986638:19099959:1191016]
113568bq (1 curve)	1	2+ 3- 7- 13+	2+ 3- -2 7-  3 13+  3  1
Curve Equation t Generators 113568bq1 [0,1,0,-144824,21165132] 1 [1754:27:8]
113568br (1 curve)	1	2+ 3- 7- 13+	2+ 3-  4 7-  3 13+ -3 -5
Curve Equation t Generators 113568br1 [0,1,0,-56,-168] 1 [78:690:1]
113568bs (1 curve)	0	2+ 3- 7- 13-	2+ 3-  1 7-  6 13-  6 -1
Curve Equation t 113568bs1 [0,1,0,-591725,175163067] 1
113568bt (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -1 7+ -2 13+  1 -6
Curve Equation t 113568bt1 [0,-1,0,259359,-60181551] 1
113568bu (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -2 7+  1 13+ -3  5
Curve Equation t 113568bu1 [0,-1,0,-25744,-1323752] 1
113568bv (1 curve)	0	2- 3+ 7+ 13+	2- 3+  3 7+ -4 13+  4  3
Curve Equation t 113568bv1 [0,-1,0,-67149,-23598459] 1
113568bw (2 curves)	1	2- 3+ 7- 13+	2- 3+  0 7-  2 13+  4  4
Curve Equation t Generators 113568bw1 [0,-1,0,282,9996] 2 [100:1014:1] 113568bw2 [0,-1,0,-5633,155505] 2 [8:333:1]
113568bx (2 curves)	1	2- 3+ 7- 13+	2- 3+  0 7- -6 13+  8  4
Curve Equation t Generators 113568bx1 [0,-1,0,-60558,-7720740] 2 [9109044:156422006:19683] 113568bx2 [0,-1,0,-1060193,-419770287] 2 [29718747067653:-871069679186356:17964142659]
113568by (1 curve)	1	2- 3+ 7- 13+	2- 3+  2 7-  0 13+  7  6
Curve Equation t Generators 113568by1 [0,-1,0,48,4068] 1 [8:70:1]
113568bz (1 curve)	1	2- 3+ 7- 13+	2- 3+  2 7-  3 13+  3  1
Curve Equation t Generators 113568bz1 [0,-1,0,-24475312,-46597696172] 1 [118475336108174843122020711806676564:170058780749531306321157996974309047186:57502007796580321617146709919]
113568ca (4 curves)	1	2- 3+ 7- 13+	2- 3+ -2 7-  4 13+  6  4
Curve Equation t Generators 113568ca1 [0,-1,0,-30814,-123176] 4 [-3020:97356:125] 113568ca2 [0,-1,0,122976,-1107432] 2 [142522727211:5142171962070:1556862679] 113568ca3 [0,-1,0,-327409,71949409] 4 [-3:8540:1] 113568ca4 [0,-1,0,-350224,-79464620] 2 [-291642305:-376021446:857375]
113568cb (1 curve)	1	2- 3+ 7- 13+	2- 3+ -3 7-  0 13+  0  5
Curve Equation t Generators 113568cb1 [0,-1,0,-4957,237301] 1 [87:676:1]
113568cc (1 curve)	1	2- 3+ 7- 13+	2- 3+ -3 7-  5 13+  1 -5
Curve Equation t Generators 113568cc1 [0,-1,0,49968,1685124] 1 [2024:91598:1]
113568cd (1 curve)	1	2- 3+ 7- 13+	2- 3+ -3 7-  6 13+ -3  2
Curve Equation t Generators 113568cd1 [0,-1,0,-3137,-66639] 1 [71:252:1]
113568ce (1 curve)	1	2- 3+ 7- 13+	2- 3+ -4 7-  3 13+ -3 -5
Curve Equation t Generators 113568ce1 [0,-1,0,-9520,331096] 1 [282:1561:8]
113568cf (1 curve)	0	2- 3+ 7- 13-	2- 3+  1 7-  1 13-  3  5
Curve Equation t 113568cf1 [0,-1,0,-680,9528] 1
113568cg (1 curve)	0	2- 3+ 7- 13-	2- 3+  1 7-  6 13- -2 -5
Curve Equation t 113568cg1 [0,-1,0,143355715,-593876097387] 1
113568ch (1 curve)	0	2- 3+ 7- 13-	2- 3+ -1 7-  6 13-  6 -1
Curve Equation t 113568ch1 [0,-1,0,-3501,-78651] 1
113568ci (2 curves)	0	2- 3+ 7- 13-	2- 3+ -2 7-  0 13- -2 -8
Curve Equation t 113568ci1 [0,-1,0,-13914,-600432] 2 113568ci2 [0,-1,0,8056,-2340456] 2
113568cj (2 curves)	0	2- 3+ 7- 13-	2- 3+ -2 7- -2 13-  6 -4
Curve Equation t 113568cj1 [0,-1,0,-145734,-21348900] 2 113568cj2 [0,-1,0,-178689,-10941711] 2
113568ck (1 curve)	1	2- 3- 7+ 13+	2- 3-  1 7+  1 13+ -5 -3
Curve Equation t Generators 113568ck1 [0,1,0,-2145680,-1438959144] 1 [14434:1724814:1]
113568cl (1 curve)	1	2- 3- 7+ 13+	2- 3-  1 7+ -2 13+  1 -6
Curve Equation t Generators 113568cl1 [0,1,0,43831615,132043541007] 1 [108367571:43917497736:103823]
113568cm (1 curve)	1	2- 3- 7+ 13+	2- 3-  1 7+ -4 13+  0  7
Curve Equation t Generators 113568cm1 [0,1,0,-2606205,1618652907] 1 [7338:6591:8]
113568cn (1 curve)	1	2- 3- 7+ 13+	2- 3-  2 7+ -3 13+  3 -1
Curve Equation t Generators 113568cn1 [0,1,0,-24475312,46597696172] 1 [22762:7929:8]
113568co (4 curves)	1	2- 3- 7+ 13+	2- 3- -2 7+  4 13+ -2  0
Curve Equation t Generators 113568co1 [0,1,0,-7154,28536] 4 [61429:15225210:1] 113568co2 [0,1,0,28336,255672] 2 [-90882:1226685:10648] 113568co3 [0,1,0,-73064,-7590660] 2 [-4451370:897281:27000] 113568co4 [0,1,0,-84049,9332831] 4 [-334:507:1]
113568cp (4 curves)	1	2- 3- 7+ 13+	2- 3- -2 7+ -4 13+  6 -4
Curve Equation t Generators 113568cp1 [0,1,0,-30814,123176] 4 [-52:1260:1] 113568cp2 [0,1,0,122976,1107432] 4 [20622:2961894:1] 113568cp3 [0,1,0,-327409,-71949409] 2 [-334:507:1] 113568cp4 [0,1,0,-350224,79464620] 2 [455:3810:1]
113568cq (2 curves)	1	2- 3- 7+ 13+	2- 3-  4 7+  2 13+  0  4
Curve Equation t Generators 113568cq1 [0,1,0,35434,3733692] 2 [238:5070:1] 113568cq2 [0,1,0,-254401,38803727] 2 [-502:6345:1]
113568cr (1 curve)	1	2- 3- 7+ 13+	2- 3- -4 7+ -3 13+ -3  5
Curve Equation t Generators 113568cr1 [0,1,0,-9520,-331096] 1 [118:450:1]
113568cs (1 curve)	2	2- 3- 7+ 13-	2- 3- -1 7+ -6 13-  6  1
Curve Equation t Generators 113568cs1 [0,1,0,-3501,78651] 1 [33:-12:1]&[17:156:1]
113568ct (1 curve)	0	2- 3- 7- 13+	2- 3- -2 7-  0 13+  7  6
Curve Equation t 113568ct1 [0,1,0,8056,-8969700] 1
113568cu (1 curve)	2	2- 3- 7- 13+	2- 3- -2 7- -1 13+ -3 -5
Curve Equation t Generators 113568cu1 [0,1,0,-25744,1323752] 1 [134:-546:1]&[-178:546:1]
113568cv (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7- -3 13+  1  3
Curve Equation t 113568cv1 [0,1,0,-18984,2176188] 1
113568cw (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7-  4 13+  4 -3
Curve Equation t 113568cw1 [0,1,0,-67149,23598459] 1
113568cx (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7-  6 13+ -3  2
Curve Equation t 113568cx1 [0,1,0,-530209,148526639] 1
113568cy (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7-  1 13-  3  5
Curve Equation t Generators 113568cy1 [0,1,0,-114976,-20473192] 1 [3098:171366:1]
113568cz (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7-  6 13- -2 -5
Curve Equation t Generators 113568cz1 [0,1,0,848259,270573291] 1 [1902:-93639:1]
113568da (2 curves)	1	2- 3- 7- 13-	2- 3-  2 7-  0 13- -2 -8
Curve Equation t Generators 113568da1 [0,1,0,-82,248] 2 [183:190:27] 113568da2 [0,1,0,48,1080] 2 [18:90:1]
113568db (2 curves)	1	2- 3- 7- 13-	2- 3-  2 7- -2 13-  6 -4
Curve Equation t Generators 113568db1 [0,1,0,-862,9452] 2 [4:78:1] 113568db2 [0,1,0,-1057,4655] 2 [1:60:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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