Cremona's table of elliptic curves

116886 = 2 · 3 · 7 · 11² · 23

Class	r	Atkin-Lehner	Eigenvalues
116886a (2 curves)	0	2+ 3+ 7+ 11+ 23-	2+ 3+ -2 7+ 11+ -4 -2  4
Curve Equation t 116886a1 [1,1,0,11009,-678575] 2 116886a2 [1,1,0,-82161,-7293645] 2
116886b (6 curves)	0	2+ 3+ 7+ 11- 23+	2+ 3+ -2 7+ 11-  2  6 -4
Curve Equation t 116886b1 [1,1,0,15244,-1477296] 2 116886b2 [1,1,0,-139636,-17244080] 4 116886b3 [1,1,0,-613956,168215040] 4 116886b4 [1,1,0,-2143396,-1208679776] 2 116886b5 [1,1,0,758184,815041836] 2 116886b6 [1,1,0,-9575216,11400258324] 2
116886c (1 curve)	1	2+ 3+ 7+ 11- 23-	2+ 3+  1 7+ 11-  1 -4 -4
Curve Equation t Generators 116886c1 [1,1,0,-74417,7809333] 1 [-71:3605:1]
116886d (1 curve)	1	2+ 3+ 7+ 11- 23-	2+ 3+  4 7+ 11-  1 -7 -1
Curve Equation t Generators 116886d1 [1,1,0,-153188,108094980] 1 [510:12510:1]
116886e (1 curve)	1	2+ 3+ 7- 11- 23+	2+ 3+ -1 7- 11- -1 -4  6
Curve Equation t Generators 116886e1 [1,1,0,41017,384531] 1 [-5:426:1]
116886f (4 curves)	1	2+ 3+ 7- 11- 23+	2+ 3+  2 7- 11-  2  2  0
Curve Equation t Generators 116886f1 [1,1,0,1807496,-13002183872] 2 [13934579435:249543307796:6331625] 116886f2 [1,1,0,-73154424,-233045403840] 4 [-7401815095645091:-82644314381518882:1709490484493] 116886f3 [1,1,0,-185810264,657634198368] 2 [-7711891:-1647742181:1331] 116886f4 [1,1,0,-1159889304,-15204991845600] 2 [-5234868832804372547341452561385325:3726370588548122444019601060519010:266154366550954550446334253059]
116886g (1 curve)	1	2+ 3+ 7- 11- 23+	2+ 3+  4 7- 11-  6 -2  6
Curve Equation t Generators 116886g1 [1,1,0,-91478,10375380] 1 [1260:42930:1]
116886h (1 curve)	2	2+ 3+ 7- 11- 23-	2+ 3+  0 7- 11-  1 -5  5
Curve Equation t Generators 116886h1 [1,1,0,-1575,25161] 1 [17:-69:1]&[22:31:1]
116886i (1 curve)	2	2+ 3+ 7- 11- 23-	2+ 3+ -3 7- 11- -5  1 -4
Curve Equation t Generators 116886i1 [1,1,0,-1234,350596] 1 [-73:278:1]&[4:-590:1]
116886j (2 curves)	1	2+ 3- 7+ 11- 23+	2+ 3-  0 7+ 11-  1  3 -5
Curve Equation t Generators 116886j1 [1,0,1,-45540006856,3740684175189014] 1 [217129:63838187:1] 116886j2 [1,0,1,-3688772954056,2726910926533633046] 1 [7743225740855:26723536344757:6967871]
116886k (2 curves)	1	2+ 3- 7+ 11- 23+	2+ 3-  0 7+ 11- -6 -4  2
Curve Equation t Generators 116886k1 [1,0,1,-469241,-123900856] 2 [14541:1744204:1] 116886k2 [1,0,1,-7510231,-7922501380] 2 [3574:102575:1]
116886l (6 curves)	1	2+ 3- 7+ 11- 23+	2+ 3- -2 7+ 11-  2 -2  4
Curve Equation t Generators 116886l1 [1,0,1,12610133,-2212140394] 2 [1903:168392:1] 116886l2 [1,0,1,-50900347,-17784910090] 4 [-1145:198044:1] 116886l3 [1,0,1,-521544367,4563463980590] 4 [120494:2768209:8] 116886l4 [1,0,1,-596424007,-5595437019394] 2 [2561967694:-600566656255:39304] 116886l5 [1,0,1,-239264677,9484050624794] 2 [-10782666422:5397848207315:1643032] 116886l6 [1,0,1,-8334128377,292844688915986] 2 [5480464853930:533423132707:103823000]
116886m (2 curves)	1	2+ 3- 7+ 11- 23+	2+ 3- -3 7+ 11- -5  0 -8
Curve Equation t Generators 116886m1 [1,0,1,360,-11618] 1 [32:-198:1] 116886m2 [1,0,1,-3270,328150] 1 [10:539:1]
116886n (2 curves)	1	2+ 3- 7+ 11- 23+	2+ 3- -4 7+ 11-  0  2  0
Curve Equation t Generators 116886n1 [1,0,1,467057,-41294398] 2 [340:12353:1] 116886n2 [1,0,1,-1981983,-340077278] 2 [-397:19800:1]
116886o (2 curves)	2	2+ 3- 7+ 11- 23-	2+ 3-  0 7+ 11- -2 -6 -2
Curve Equation t Generators 116886o1 [1,0,1,-198146,33903956] 1 [-51:-6599:1]&[-150:7837:1] 116886o2 [1,0,1,-16046066,24738734612] 1 [2138:13293:1]&[2313:-1127:1]
116886p (4 curves)	0	2+ 3- 7+ 11- 23-	2+ 3-  2 7+ 11- -2 -2  0
Curve Equation t 116886p1 [1,0,1,-15975,-718742] 2 116886p2 [1,0,1,-54695,4098026] 4 116886p3 [1,0,1,105025,23583866] 2 116886p4 [1,0,1,-833935,293040218] 2
116886q (1 curve)	0	2+ 3- 7+ 11- 23-	2+ 3- -3 7+ 11-  3  5  8
Curve Equation t 116886q1 [1,0,1,-51895330,-156044723980] 1
116886r (1 curve)	1	2+ 3- 7- 11+ 23+	2+ 3- -2 7- 11+ -1  3 -1
Curve Equation t Generators 116886r1 [1,0,1,-275157,-58972256] 1 [1331:43302:1]
116886s (1 curve)	2	2+ 3- 7- 11+ 23-	2+ 3- -2 7- 11+ -3 -3 -5
Curve Equation t Generators 116886s1 [1,0,1,-1312,7042946] 1 [-173:1535:1]&[-188:902:1]
116886t (2 curves)	0	2+ 3- 7- 11- 23+	2+ 3-  0 7- 11- -1 -6  5
Curve Equation t 116886t1 [1,0,1,-19121,-1475476] 3 116886t2 [1,0,1,-1734296,-879233434] 1
116886u (1 curve)	2	2+ 3- 7- 11- 23+	2+ 3- -2 7- 11- -6 -6  0
Curve Equation t Generators 116886u1 [1,0,1,-8352,-46466] 1 [-67:-429:1]&[-74:446:1]
116886v (1 curve)	1	2+ 3- 7- 11- 23-	2+ 3- -1 7- 11- -3  0  6
Curve Equation t Generators 116886v1 [1,0,1,-14039,-6338950] 1 [1686:1331:8]
116886w (4 curves)	1	2+ 3- 7- 11- 23-	2+ 3- -2 7- 11- -2 -6  0
Curve Equation t Generators 116886w1 [1,0,1,-72482,12245924] 2 [-78:-4136:1] 116886w2 [1,0,1,-1352662,605225300] 4 [835:-8041:1] 116886w3 [1,0,1,-1547472,419454484] 2 [278:3141:1] 116886w4 [1,0,1,-21640732,38746796900] 2 [2698:-247:1]
116886x (1 curve)	1	2+ 3- 7- 11- 23-	2+ 3-  3 7- 11-  3  4  0
Curve Equation t Generators 116886x1 [1,0,1,1100613,-298150778] 1 [15190:1868933:1]
116886y (1 curve)	1	2- 3+ 7+ 11- 23+	2- 3+  3 7+ 11-  1  8 -4
Curve Equation t Generators 116886y1 [1,1,1,-6234,-58524531] 1 [352145266413426103946928717026502:2712944290159848829342438864485633:844024426883503330569878039176]
116886z (1 curve)	1	2- 3+ 7+ 11- 23+	2- 3+  3 7+ 11-  3 -4 -6
Curve Equation t Generators 116886z1 [1,1,1,71563451,-440213260981] 1 [174367:72806604:1]
116886ba (1 curve)	1	2- 3+ 7+ 11- 23+	2- 3+  3 7+ 11- -3  0  0
Curve Equation t Generators 116886ba1 [1,1,1,-620914,188989439] 1 [457:739:1]
116886bb (1 curve)	1	2- 3+ 7+ 11- 23+	2- 3+  4 7+ 11- -6  2 -6
Curve Equation t Generators 116886bb1 [1,1,1,-756,-8139] 1 [-15:17:1]
116886bc (2 curves)	0	2- 3+ 7+ 11- 23-	2- 3+  2 7+ 11-  4  4  2
Curve Equation t 116886bc1 [1,1,1,-1784087,-1122871507] 2 116886bc2 [1,1,1,-30282007,-64148871379] 2
116886bd (1 curve)	0	2- 3+ 7+ 11- 23-	2- 3+ -3 7+ 11-  5 -1  4
Curve Equation t 116886bd1 [1,1,1,-149377,-467390065] 1
116886be (2 curves)	0	2- 3+ 7+ 11- 23-	2- 3+ -4 7+ 11- -2 -2  2
Curve Equation t 116886be1 [1,1,1,2115,10671] 2 116886be2 [1,1,1,-8775,76011] 2
116886bf (2 curves)	0	2- 3+ 7- 11+ 23-	2- 3+ -2 7- 11+  4  2 -4
Curve Equation t 116886bf1 [1,1,1,91,551] 2 116886bf2 [1,1,1,-679,5171] 2
116886bg (2 curves)	2	2- 3+ 7- 11- 23+	2- 3+ -2 7- 11- -4  0 -6
Curve Equation t Generators 116886bg1 [1,1,1,40351,-7193185] 2 [1139:-39532:1]&[1062:5261:8] 116886bg2 [1,1,1,-404929,-86809249] 2 [-467:1080:1]&[-397:3600:1]
116886bh (4 curves)	1	2- 3+ 7- 11- 23-	2- 3+ -2 7- 11-  6 -2 -4
Curve Equation t Generators 116886bh1 [1,1,1,-121184,-16286335] 2 [245512:2955349:512] 116886bh2 [1,1,1,-130864,-13544959] 4 [-227:2241:1] 116886bh3 [1,1,1,326516,-86725759] 2 [4718:138807:8] 116886bh4 [1,1,1,-743124,235277505] 2 [-695:20759:1]
116886bi (1 curve)	1	2- 3- 7+ 11+ 23+	2- 3- -2 7+ 11+  1 -3  1
Curve Equation t Generators 116886bi1 [1,0,0,-2274,44100] 1 [-12:270:1]
116886bj (1 curve)	0	2- 3- 7+ 11+ 23-	2- 3- -2 7+ 11+  3  3  5
Curve Equation t 116886bj1 [1,0,0,-158694,-9374320152] 1
116886bk (2 curves)	0	2- 3- 7+ 11- 23+	2- 3-  0 7+ 11-  1  6 -5
Curve Equation t 116886bk1 [1,0,0,-2313583,1961544641] 1 116886bk2 [1,0,0,-209849758,1170049850564] 1
116886bl (4 curves)	0	2- 3- 7+ 11- 23+	2- 3-  0 7+ 11-  4  6  4
Curve Equation t 116886bl1 [1,0,0,4438822,14690200020] 2 116886bl2 [1,0,0,-69644638,207588713168] 2 116886bl3 [1,0,0,-345407873,2472512658441] 2 116886bl4 [1,0,0,-5527576513,158179060917065] 2
116886bm (2 curves)	0	2- 3- 7+ 11- 23+	2- 3-  0 7+ 11- -5  3 -5
Curve Equation t 116886bm1 [1,0,0,-1016463,-394529607] 1 116886bm2 [1,0,0,-698838,-645156060] 1
116886bn (1 curve)	0	2- 3- 7+ 11- 23+	2- 3- -2 7+ 11-  6  6  0
Curve Equation t 116886bn1 [1,0,0,-1010534,60835380] 1
116886bo (4 curves)	1	2- 3- 7+ 11- 23-	2- 3-  0 7+ 11- -2  6 -2
Curve Equation t Generators 116886bo1 [1,0,0,561982,-1141960764] 2 [1840:-79166:1] 116886bo2 [1,0,0,-13551458,-18295435740] 2 [-2432:17914:1] 116886bo3 [1,0,0,-5073593,31375532409] 2 [1114:164083:1] 116886bo4 [1,0,0,-183495353,952067498361] 2 [-10022:1340851:1]
116886bp (1 curve)	1	2- 3- 7+ 11- 23-	2- 3- -1 7+ 11- -5  4  0
Curve Equation t Generators 116886bp1 [1,0,0,-7670011,-8176720111] 1 [615262:482290705:1]
116886bq (2 curves)	1	2- 3- 7+ 11- 23-	2- 3-  2 7+ 11-  4  4 -6
Curve Equation t Generators 116886bq1 [1,0,0,169318383,-1600813828503] 2 [221054496:70537553871:2197] 116886bq2 [1,0,0,-1460517737,-18089213920095] 2 [78451931740:-23365862703065:753571]
116886br (2 curves)	1	2- 3- 7+ 11- 23-	2- 3-  3 7+ 11-  1  0 -2
Curve Equation t Generators 116886br1 [1,0,0,-281509,-57592039] 1 [5470:64057:8] 116886br2 [1,0,0,428156,-276377584] 1 [527110:9525829:1000]
116886bs (1 curve)	1	2- 3- 7+ 11- 23-	2- 3- -4 7+ 11-  1  1  3
Curve Equation t Generators 116886bs1 [1,0,0,12400,-855744] 1 [340:-6704:1]
116886bt (1 curve)	0	2- 3- 7- 11- 23-	2- 3-  0 7- 11-  1  3  1
Curve Equation t 116886bt1 [1,0,0,-151587653,719532487653] 1
116886bu (2 curves)	0	2- 3- 7- 11- 23-	2- 3-  0 7- 11-  2  6  2
Curve Equation t 116886bu1 [1,0,0,-23975608,-45150141376] 3 116886bu2 [1,0,0,-1941573928,-32929197342832] 1
116886bv (2 curves)	0	2- 3- 7- 11- 23-	2- 3-  0 7- 11-  6 -2  6
Curve Equation t 116886bv1 [1,0,0,-63,-154791] 2 116886bv2 [1,0,0,-43623,-3456639] 2
116886bw (1 curve)	2	2- 3- 7- 11- 23-	2- 3- -3 7- 11- -3 -5 -8
Curve Equation t Generators 116886bw1 [1,0,0,-428887,117199721] 1 [1022:26813:1]&[-298:-14635:1]

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

Part of Computational Number Theory
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