Cremona's table of elliptic curves

66066 = 2 · 3 · 7 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
66066a (2 curves)	1	2+ 3+ 7+ 11+ 13+	2+ 3+ -2 7+ 11+ 13+ -8 -4
Curve Equation t Generators 66066a1 [1,1,0,14144,230080] 2 [72:1240:1] 66066a2 [1,1,0,-60216,1821384] 2 [-55:2257:1]
66066b (2 curves)	0	2+ 3+ 7+ 11+ 13-	2+ 3+  0 7+ 11+ 13-  4  0
Curve Equation t 66066b1 [1,1,0,-14280,4290048] 2 66066b2 [1,1,0,-493440,132609096] 2
66066c (2 curves)	0	2+ 3+ 7+ 11+ 13-	2+ 3+  0 7+ 11+ 13-  4  8
Curve Equation t 66066c1 [1,1,0,-408355,-121472039] 2 66066c2 [1,1,0,-6903745,-6984501113] 2
66066d (2 curves)	0	2+ 3+ 7+ 11- 13+	2+ 3+  0 7+ 11- 13+  0  8
Curve Equation t 66066d1 [1,1,0,3356780,3725994496] 2 66066d2 [1,1,0,-25458160,39842640292] 2
66066e (2 curves)	2	2+ 3+ 7+ 11- 13+	2+ 3+  0 7+ 11- 13+ -2 -4
Curve Equation t Generators 66066e1 [1,1,0,-1575,-6783] 2 [-37:69:1]&[-16:129:1] 66066e2 [1,1,0,-14885,687999] 2 [-137:492:1]&[-546:9711:8]
66066f (2 curves)	0	2+ 3+ 7+ 11- 13+	2+ 3+  0 7+ 11- 13+  6 -4
Curve Equation t 66066f1 [1,1,0,-14885,-597747] 2 66066f2 [1,1,0,-227845,-41954579] 2
66066g (1 curve)	0	2+ 3+ 7+ 11- 13+	2+ 3+ -1 7+ 11- 13+ -2  3
Curve Equation t 66066g1 [1,1,0,-111443,885133869] 1
66066h (4 curves)	0	2+ 3+ 7+ 11- 13+	2+ 3+ -2 7+ 11- 13+ -6  4
Curve Equation t 66066h1 [1,1,0,21294,-619164] 2 66066h2 [1,1,0,-97286,-5386080] 4 66066h3 [1,1,0,-783356,262867290] 2 66066h4 [1,1,0,-1308496,-576350474] 2
66066i (2 curves)	0	2+ 3+ 7+ 11- 13+	2+ 3+  4 7+ 11- 13+ -6 -8
Curve Equation t 66066i1 [1,1,0,-288827728,266903015680] 2 66066i2 [1,1,0,-3406775088,76391587810080] 2
66066j (2 curves)	1	2+ 3+ 7+ 11- 13-	2+ 3+  0 7+ 11- 13-  2 -4
Curve Equation t Generators 66066j1 [1,1,0,-6415,-238619] 2 [150:1409:1] 66066j2 [1,1,0,-108055,-13716083] 2 [513:7879:1]
66066k (2 curves)	1	2+ 3+ 7+ 11- 13-	2+ 3+  0 7+ 11- 13- -4  2
Curve Equation t Generators 66066k1 [1,1,0,-14296515,21992974029] 2 [1535:59793:1] 66066k2 [1,1,0,-232367555,1363260712653] 2 [9037:-43057:1]
66066l (2 curves)	1	2+ 3+ 7- 11+ 13-	2+ 3+  2 7- 11+ 13-  8  0
Curve Equation t Generators 66066l1 [1,1,0,196,6912] 2 [-4:80:1] 66066l2 [1,1,0,-4424,105780] 2 [-5:360:1]
66066m (2 curves)	1	2+ 3+ 7- 11+ 13-	2+ 3+ -2 7- 11+ 13- -4 -8
Curve Equation t Generators 66066m1 [1,1,0,-29217751,60778419541] 2 [3075:-6196:1] 66066m2 [1,1,0,-467489431,3890308705045] 2 [12483:-6196:1]
66066n (2 curves)	1	2+ 3+ 7- 11+ 13-	2+ 3+ -2 7- 11+ 13-  6  2
Curve Equation t Generators 66066n1 [1,1,0,-136831,-19538735] 2 [-1467807:735527:6859] 66066n2 [1,1,0,-136941,-19505889] 2 [-205:169:1]
66066o (2 curves)	1	2+ 3+ 7- 11+ 13-	2+ 3+ -2 7- 11+ 13- -6 -2
Curve Equation t Generators 66066o1 [1,1,0,-31836,-2199600] 2 [-103:58:1] 66066o2 [1,1,0,-33596,-1945104] 2 [-89:-547:1]
66066p (1 curve)	1	2+ 3+ 7- 11- 13+	2+ 3+  0 7- 11- 13+ -3  2
Curve Equation t Generators 66066p1 [1,1,0,845,-11843] 1 [18:89:1]
66066q (2 curves)	1	2+ 3+ 7- 11- 13+	2+ 3+ -2 7- 11- 13+  0 -4
Curve Equation t Generators 66066q1 [1,1,0,-4721,155841] 2 [-5:426:1] 66066q2 [1,1,0,-80951,8830815] 2 [127:723:1]
66066r (1 curve)	0	2+ 3+ 7- 11- 13-	2+ 3+  3 7- 11- 13- -7 -1
Curve Equation t 66066r1 [1,1,0,-12158566,16406460052] 1
66066s (2 curves)	1	2+ 3- 7+ 11+ 13-	2+ 3- -4 7+ 11+ 13-  8  8
Curve Equation t Generators 66066s1 [1,0,1,522112,-1077056818] 2 [1698:67750:1] 66066s2 [1,0,1,-13107328,-17432384818] 2 [-2192:28805:1]
66066t (2 curves)	1	2+ 3- 7+ 11- 13+	2+ 3-  0 7+ 11- 13+  6 -5
Curve Equation t Generators 66066t1 [1,0,1,129,-1454] 1 [8:6:1] 66066t2 [1,0,1,-1191,44482] 1 [-1104:4826:27]
66066u (2 curves)	1	2+ 3- 7+ 11- 13+	2+ 3- -2 7+ 11- 13+  0  6
Curve Equation t Generators 66066u1 [1,0,1,29158,2253260] 2 [54:-2024:1] 66066u2 [1,0,1,-183802,22186316] 2 [538:-9163:1]
66066v (2 curves)	0	2+ 3- 7+ 11- 13-	2+ 3- -1 7+ 11- 13-  3  1
Curve Equation t 66066v1 [1,0,1,86391,110436940] 1 66066v2 [1,0,1,-444614019,3608430806440] 1
66066w (4 curves)	0	2+ 3- 7+ 11- 13-	2+ 3-  2 7+ 11- 13- -6  4
Curve Equation t 66066w1 [1,0,1,-850,8468] 2 66066w2 [1,0,1,-3270,-63164] 4 66066w3 [1,0,1,5200,-334204] 2 66066w4 [1,0,1,-50460,-4366892] 2
66066x (4 curves)	0	2+ 3- 7+ 11- 13-	2+ 3- -2 7+ 11- 13-  2  4
Curve Equation t 66066x1 [1,0,1,-3980782,2253990176] 2 66066x2 [1,0,1,-22721262,-39859616480] 4 66066x3 [1,0,1,13801378,-155767866784] 4 66066x4 [1,0,1,-359091582,-2619147230240] 2
66066y (2 curves)	0	2+ 3- 7- 11+ 13-	2+ 3-  0 7- 11+ 13-  0  4
Curve Equation t 66066y1 [1,0,1,1669434,-674628968] 2 66066y2 [1,0,1,-8765606,-6125893864] 2
66066z (2 curves)	0	2+ 3- 7- 11+ 13-	2+ 3-  0 7- 11+ 13- -4  0
Curve Equation t 66066z1 [1,0,1,-22971,-1347194] 2 66066z2 [1,0,1,-367931,-85931386] 2
66066ba (2 curves)	0	2+ 3- 7- 11+ 13-	2+ 3-  2 7- 11+ 13- -2  2
Curve Equation t 66066ba1 [1,0,1,-26260,-1550254] 2 66066ba2 [1,0,1,-79500,6712594] 2
66066bb (2 curves)	0	2+ 3- 7- 11+ 13-	2+ 3-  2 7- 11+ 13-  4 -4
Curve Equation t 66066bb1 [1,0,1,-826235,-302842234] 2 66066bb2 [1,0,1,-13393075,-18866578282] 2
66066bc (4 curves)	0	2+ 3- 7- 11- 13+	2+ 3-  2 7- 11- 13+ -6  4
Curve Equation t 66066bc1 [1,0,1,11855,-589756] 2 66066bc2 [1,0,1,-75265,-5851804] 4 66066bc3 [1,0,1,-431005,104143004] 2 66066bc4 [1,0,1,-1113445,-452269204] 2
66066bd (2 curves)	0	2+ 3- 7- 11- 13+	2+ 3- -2 7- 11- 13+  0  4
Curve Equation t 66066bd1 [1,0,1,-80952,-9005306] 2 66066bd2 [1,0,1,-1300632,-571033850] 2
66066be (6 curves)	0	2+ 3- 7- 11- 13+	2+ 3- -2 7- 11- 13+  6  4
Curve Equation t 66066be1 [1,0,1,10117533,39916095646] 2 66066be2 [1,0,1,-131607347,528980311550] 4 66066be3 [1,0,1,-478013407,-3439586074234] 2 66066be4 [1,0,1,-2052799367,35798223414710] 4 66066be5 [1,0,1,-1999971977,37727881185674] 2 66066be6 [1,0,1,-32844699077,2291107809014066] 2
66066bf (1 curve)	0	2+ 3- 7- 11- 13+	2+ 3- -4 7- 11- 13+  2  7
Curve Equation t 66066bf1 [1,0,1,-62068163,-188262827458] 1
66066bg (2 curves)	1	2+ 3- 7- 11- 13-	2+ 3-  0 7- 11- 13- -3  2
Curve Equation t Generators 66066bg1 [1,0,1,-200621,34570424] 3 [167:2310:1] 66066bg2 [1,0,1,-100796,68886266] 1 [-271:8871:1]
66066bh (2 curves)	1	2+ 3- 7- 11- 13-	2+ 3- -3 7- 11- 13-  6  5
Curve Equation t Generators 66066bh1 [1,0,1,-850,9920] 3 [-23:143:1] 66066bh2 [1,0,1,4595,18632] 1 [91:1046:1]
66066bi (1 curve)	1	2+ 3- 7- 11- 13-	2+ 3- -4 7- 11- 13- -1  6
Curve Equation t Generators 66066bi1 [1,0,1,-8925183,10262920402] 1 [1991:-20652:1]
66066bj (2 curves)	1	2+ 3- 7- 11- 13-	2+ 3- -4 7- 11- 13- -2  0
Curve Equation t Generators 66066bj1 [1,0,1,-112533,5589472] 2 [428:5775:1] 66066bj2 [1,0,1,-964373,-360701728] 2 [1638:48730:1]
66066bk (2 curves)	0	2- 3+ 7+ 11+ 13+	2- 3+  2 7+ 11+ 13+ -8  0
Curve Equation t 66066bk1 [1,1,1,23653,-9081511] 2 66066bk2 [1,1,1,-535367,-143469919] 2
66066bl (2 curves)	0	2- 3+ 7+ 11+ 13+	2- 3+ -2 7+ 11+ 13+  4  8
Curve Equation t 66066bl1 [1,1,1,-241469,-45773485] 2 66066bl2 [1,1,1,-3863549,-2924602669] 2
66066bm (2 curves)	0	2- 3+ 7+ 11+ 13+	2- 3+ -2 7+ 11+ 13+  6  2
Curve Equation t 66066bm1 [1,1,1,-3852219,2908406601] 2 66066bm2 [1,1,1,-4065179,2568607625] 2
66066bn (2 curves)	0	2- 3+ 7+ 11+ 13+	2- 3+ -2 7+ 11+ 13+ -6 -2
Curve Equation t 66066bn1 [1,1,1,-16556614,25923273311] 2 66066bn2 [1,1,1,-16569924,25879488735] 2
66066bo (1 curve)	0	2- 3+ 7+ 11- 13-	2- 3+  0 7+ 11- 13-  3 -2
Curve Equation t 66066bo1 [1,1,1,102182,16274039] 1
66066bp (4 curves)	0	2- 3+ 7+ 11- 13-	2- 3+  2 7+ 11- 13- -2  4
Curve Equation t 66066bp1 [1,1,1,-6747507,-6749069007] 2 66066bp2 [1,1,1,-6786227,-6667741519] 4 66066bp3 [1,1,1,827093,-20782836799] 2 66066bp4 [1,1,1,-15019067,12653087393] 2
66066bq (4 curves)	0	2- 3+ 7+ 11- 13-	2- 3+ -2 7+ 11- 13-  2  0
Curve Equation t 66066bq1 [1,1,1,-2789234,1790510591] 4 66066bq2 [1,1,1,-3408754,935572991] 4 66066bq3 [1,1,1,12447086,7189116287] 2 66066bq4 [1,1,1,-29176914,-60021586305] 2
66066br (4 curves)	2	2- 3+ 7+ 11- 13-	2- 3+ -2 7+ 11- 13- -2 -4
Curve Equation t Generators 66066br1 [1,1,1,224876,-620459179] 4 [963:21661:1]&[1789:73345:1] 66066br2 [1,1,1,-9687444,-11246466219] 4 [3997:-119935:1]&[-15058:151435:8] 66066br3 [1,1,1,-24323604,30765167445] 2 [-1941:266807:1]&[1205:56025:1] 66066br4 [1,1,1,-153648404,-733124304043] 2 [14889:-536699:1]&[142026980:-11760438233:8000]
66066bs (2 curves)	0	2- 3+ 7+ 11- 13-	2- 3+  4 7+ 11- 13- -4  0
Curve Equation t 66066bs1 [1,1,1,-51246,20287851] 2 66066bs2 [1,1,1,-1474206,686233131] 2
66066bt (2 curves)	1	2- 3+ 7- 11+ 13+	2- 3+  0 7- 11+ 13+ -4  0
Curve Equation t Generators 66066bt1 [1,1,1,-118,-3277] 2 [39:211:1] 66066bt2 [1,1,1,-4078,-101485] 2 [-37:39:1]
66066bu (2 curves)	1	2- 3+ 7- 11+ 13+	2- 3+  0 7- 11+ 13+ -4 -8
Curve Equation t Generators 66066bu1 [1,1,1,-49411018,161432228915] 2 [12057484463258014000:-1113775562211409239003:1047286349508608] 66066bu2 [1,1,1,-835353208,9292194215459] 2 [11105136152:-63286330383:681472]
66066bv (2 curves)	0	2- 3+ 7- 11+ 13-	2- 3+ -2 7- 11+ 13-  8  4
Curve Equation t 66066bv1 [1,1,1,1711361,-297679579] 2 66066bv2 [1,1,1,-7286199,-2460693003] 2
66066bw (1 curve)	0	2- 3+ 7- 11- 13+	2- 3+ -1 7- 11- 13+  1 -7
Curve Equation t 66066bw1 [1,1,1,-13131,581307] 1
66066bx (2 curves)	0	2- 3+ 7- 11- 13+	2- 3+ -4 7- 11- 13+  6 -4
Curve Equation t 66066bx1 [1,1,1,45675,228471] 2 66066bx2 [1,1,1,-183015,1600611] 2
66066by (2 curves)	1	2- 3+ 7- 11- 13-	2- 3+  0 7- 11- 13-  4  0
Curve Equation t Generators 66066by1 [1,1,1,-1101163,528768329] 2 [457:-11240:1] 66066by2 [1,1,1,-18532423,30698793137] 2 [-1853:243168:1]
66066bz (2 curves)	1	2- 3+ 7- 11- 13-	2- 3+  0 7- 11- 13- -6  0
Curve Equation t Generators 66066bz1 [1,1,1,-273245893,-907694116405] 2 [112855:37435180:1] 66066bz2 [1,1,1,-3762382533,-88793463459381] 2 [451171:299861432:1]
66066ca (1 curve)	1	2- 3+ 7- 11- 13-	2- 3+ -1 7- 11- 13-  2 -3
Curve Equation t Generators 66066ca1 [1,1,1,-921,-665433] 1 [103:536:1]
66066cb (4 curves)	1	2- 3+ 7- 11- 13-	2- 3+  2 7- 11- 13-  2  0
Curve Equation t Generators 66066cb1 [1,1,1,-689037,219859443] 4 [61155:18864:125] 66066cb2 [1,1,1,-691457,218234171] 4 [334:109939:8] 66066cb3 [1,1,1,-77987,592450871] 2 [2830:196051:8] 66066cb4 [1,1,1,-1343647,-259951537] 2 [85076:1075365:64]
66066cc (2 curves)	1	2- 3+ 7- 11- 13-	2- 3+ -4 7- 11- 13- -2  4
Curve Equation t Generators 66066cc1 [1,1,1,-307040,65327681] 2 [347:673:1] 66066cc2 [1,1,1,-360280,41050241] 2 [-401:11211:1]
66066cd (2 curves)	1	2- 3- 7+ 11+ 13+	2- 3-  0 7+ 11+ 13+  0 -4
Curve Equation t Generators 66066cd1 [1,0,0,13797,508113] 2 [54:-1215:1] 66066cd2 [1,0,0,-72443,4595889] 2 [-20:2467:1]
66066ce (2 curves)	1	2- 3- 7+ 11+ 13+	2- 3-  0 7+ 11+ 13+  4  0
Curve Equation t Generators 66066ce1 [1,0,0,-2779433,1790335449] 2 [736:11611:1] 66066ce2 [1,0,0,-44519593,114330154841] 2 [3842:-829:1]
66066cf (2 curves)	1	2- 3- 7+ 11+ 13+	2- 3-  2 7+ 11+ 13+  2 -2
Curve Equation t Generators 66066cf1 [1,0,0,-217,1145] 2 [14:23:1] 66066cf2 [1,0,0,-657,-5103] 2 [-12:39:1]
66066cg (2 curves)	1	2- 3- 7+ 11+ 13+	2- 3-  2 7+ 11+ 13+ -4  4
Curve Equation t Generators 66066cg1 [1,0,0,-99974377,402983038745] 2 [1152670805084913535930:-736172854996610425477955:1309291907950655803] 66066cg2 [1,0,0,-1620562017,25109795130993] 2 [1180040751944:-1585689479245171:356400829]
66066ch (2 curves)	0	2- 3- 7+ 11- 13+	2- 3-  0 7+ 11- 13+  3 -2
Curve Equation t 66066ch1 [1,0,0,-1658,-26124] 1 66066ch2 [1,0,0,-833,-51831] 1
66066ci (4 curves)	0	2- 3- 7+ 11- 13+	2- 3-  0 7+ 11- 13+  6  4
Curve Equation t 66066ci1 [1,0,0,28372,-2596692] 2 66066ci2 [1,0,0,-200318,-26975046] 2 66066ci3 [1,0,0,-271103,98302425] 2 66066ci4 [1,0,0,-5251463,4629433953] 2
66066cj (4 curves)	0	2- 3- 7+ 11- 13+	2- 3-  0 7+ 11- 13+  6 -8
Curve Equation t 66066cj1 [1,0,0,-304378,-64658560] 2 66066cj2 [1,0,0,-317688,-58698342] 2 66066cj3 [1,0,0,-545773,51264401] 2 66066cj4 [1,0,0,-6987813,7102721385] 2
66066ck (4 curves)	0	2- 3- 7+ 11- 13+	2- 3-  0 7+ 11- 13+ -6  4
Curve Equation t 66066ck1 [1,0,0,-435663,-105430599] 2 66066ck2 [1,0,0,-6877703,-6943011855] 2 66066ck3 [1,0,0,-5926038,5525541924] 2 66066ck4 [1,0,0,-9333398,-1554270684] 2
66066cl (4 curves)	0	2- 3- 7+ 11- 13+	2- 3-  0 7+ 11- 13+ -6  4
Curve Equation t 66066cl1 [1,0,0,-37390370388,-2782840087044720] 2 66066cl2 [1,0,0,-37390583348,-2782806802291152] 2 66066cl3 [1,0,0,-37464482283,-2771254419939279] 2 66066cl4 [1,0,0,-63851078123,1638119896457265] 2
66066cm (3 curves)	0	2- 3- 7+ 11- 13+	2- 3-  3 7+ 11- 13+  3  7
Curve Equation t 66066cm1 [1,0,0,1631,-240943] 1 66066cm2 [1,0,0,-14704,6570752] 1 66066cm3 [1,0,0,-3152839,2154541577] 1
66066cn (2 curves)	0	2- 3- 7+ 11- 13+	2- 3- -3 7+ 11- 13+ -6 -5
Curve Equation t 66066cn1 [1,0,0,-102792,-13306644] 1 66066cn2 [1,0,0,556053,-24243471] 1
66066co (1 curve)	0	2- 3- 7+ 11- 13+	2- 3- -4 7+ 11- 13+  1 -6
Curve Equation t 66066co1 [1,0,0,-1079947085,-13661027002479] 1
66066cp (2 curves)	1	2- 3- 7+ 11- 13-	2- 3-  2 7+ 11- 13-  4  2
Curve Equation t Generators 66066cp1 [1,0,0,1268,245840] 2 [142:1744:1] 66066cp2 [1,0,0,-51972,4409208] 2 [186:996:1]
66066cq (1 curve)	1	2- 3- 7+ 11- 13-	2- 3- -4 7+ 11- 13- -2 -7
Curve Equation t Generators 66066cq1 [1,0,0,-512960,141398016] 1 [400:-704:1]
66066cr (2 curves)	2	2- 3- 7- 11+ 13+	2- 3- -4 7- 11+ 13+ -8 -8
Curve Equation t Generators 66066cr1 [1,0,0,4315,809601] 2 [178:-2777:1]&[-62:583:1] 66066cr2 [1,0,0,-108325,13087361] 2 [98:-1897:1]&[-350:3031:1]
66066cs (2 curves)	1	2- 3- 7- 11- 13+	2- 3-  0 7- 11- 13+  0 -2
Curve Equation t Generators 66066cs1 [1,0,0,12642,2261700] 2 [-12:1458:1] 66066cs2 [1,0,0,-200318,32033508] 2 [142:2470:1]
66066ct (4 curves)	1	2- 3- 7- 11- 13+	2- 3- -2 7- 11- 13+  2  4
Curve Equation t Generators 66066ct1 [1,0,0,-6839,211113] 2 [76:-401:1] 66066ct2 [1,0,0,-16519,-522631] 4 [-100:413:1] 66066ct3 [1,0,0,48821,-3619747] 2 [98:1403:1] 66066ct4 [1,0,0,-236739,-44346411] 2 [-282:231:1]
66066cu (4 curves)	1	2- 3- 7- 11- 13+	2- 3- -2 7- 11- 13+ -6  4
Curve Equation t Generators 66066cu1 [1,0,0,-6723549,4063961265] 2 [14882:1781423:1] 66066cu2 [1,0,0,-46372829,-118618840911] 4 [-4016:55369:1] 66066cu3 [1,0,0,9848611,-387953271375] 2 [25476:4036671:1] 66066cu4 [1,0,0,-736982749,-7700825152591] 2 [-15664:6887:1]
66066cv (2 curves)	0	2- 3- 7- 11- 13-	2- 3-  0 7- 11- 13- -6  5
Curve Equation t 66066cv1 [1,0,0,15667,1950609] 3 66066cv2 [1,0,0,-144053,-59349927] 1
66066cw (1 curve)	0	2- 3- 7- 11- 13-	2- 3-  1 7- 11- 13- -5 -1
Curve Equation t 66066cw1 [1,0,0,-910,12068] 1
66066cx (4 curves)	0	2- 3- 7- 11- 13-	2- 3- -2 7- 11- 13- -2 -4
Curve Equation t 66066cx1 [1,0,0,-240974,-74891772] 4 66066cx2 [1,0,0,-4509854,-3685510476] 4 66066cx3 [1,0,0,-5170514,-2535037152] 2 66066cx4 [1,0,0,-72151274,-235898505336] 2
66066cy (2 curves)	0	2- 3- 7- 11- 13-	2- 3- -2 7- 11- 13-  4  2
Curve Equation t 66066cy1 [1,0,0,128681,49055909] 2 66066cy2 [1,0,0,-1481829,621431163] 2

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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