Cremona's table of elliptic curves

27456 = 2⁶ · 3 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
27456a (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+  2 -2 11+ 13+  0 -2
Curve Equation t Generators 27456a1 [0,-1,0,-437,145365] 2 [-51:180:1] 27456a2 [0,-1,0,-44177,3548337] 2 [-227:1352:1]
27456b (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+  2  4 11+ 13+  0 -2
Curve Equation t Generators 27456b1 [0,-1,0,-417,-4575] 2 [18805:227584:125] 27456b2 [0,-1,0,-7457,-245343] 2 [601:14560:1]
27456c (4 curves)	1	2+ 3+ 11+ 13+	2+ 3+ -2  0 11+ 13+ -6 -4
Curve Equation t Generators 27456c1 [0,-1,0,116,118] 2 [3:22:1] 27456c2 [0,-1,0,-489,1449] 4 [-15:72:1] 27456c3 [0,-1,0,-4449,-111807] 2 [-37:28:1] 27456c4 [0,-1,0,-6209,190209] 2 [51:60:1]
27456d (4 curves)	1	2+ 3+ 11+ 13+	2+ 3+ -2  4 11+ 13+ -6  0
Curve Equation t Generators 27456d1 [0,-1,0,-3069,49005] 2 [-55:220:1] 27456d2 [0,-1,0,-17649,-857871] 4 [1211:41860:1] 27456d3 [0,-1,0,10431,-3356991] 2 [275653160:-3209995327:1520875] 27456d4 [0,-1,0,-279009,-56632095] 2 [-13058360:-471983:42875]
27456e (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+ -3 -1 11+ 13+  0 -2
Curve Equation t Generators 27456e1 [0,-1,0,-6655137,6610430241] 1 [1491:108:1] 27456e2 [0,-1,0,-5166177,9644645601] 1 [435:86484:1]
27456f (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+  0  0 11+ 13- -4  0
Curve Equation t 27456f1 [0,-1,0,11407,-1712271] 2 27456f2 [0,-1,0,-163553,-23372319] 2
27456g (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+  1  1 11+ 13-  4 -6
Curve Equation t 27456g1 [0,-1,0,-369561665,2737533428289] 1 27456g2 [0,-1,0,1046597695,-171799068860991] 1
27456h (4 curves)	0	2+ 3+ 11+ 13-	2+ 3+  2  0 11+ 13- -2  4
Curve Equation t 27456h1 [0,-1,0,143,-143] 2 27456h2 [0,-1,0,-577,-575] 4 27456h3 [0,-1,0,-5857,173665] 2 27456h4 [0,-1,0,-6817,-213983] 2
27456i (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+  2 -4 11+ 13-  4 -6
Curve Equation t 27456i1 [0,-1,0,-3497,-82455] 2 27456i2 [0,-1,0,-56737,-5182847] 2
27456j (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+ -2  4 11+ 13-  4  2
Curve Equation t 27456j1 [0,-1,0,351,-351] 2 27456j2 [0,-1,0,-1409,-1407] 2
27456k (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+ -2  4 11+ 13- -8  6
Curve Equation t 27456k1 [0,-1,0,-21249,-3050751] 2 27456k2 [0,-1,0,-471809,-124431615] 2
27456l (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+ -4 -4 11+ 13-  4  4
Curve Equation t 27456l1 [0,-1,0,-65,-3519] 2 27456l2 [0,-1,0,-3905,-91839] 2
27456m (4 curves)	0	2+ 3+ 11- 13+	2+ 3+  0  2 11- 13+  6 -2
Curve Equation t 27456m1 [0,-1,0,-380693,-88921611] 2 27456m2 [0,-1,0,-774353,126882801] 2 27456m3 [0,-1,0,-30707093,-65484467307] 2 27456m4 [0,-1,0,-30707633,-65482048431] 2
27456n (4 curves)	0	2+ 3+ 11- 13+	2+ 3+  0 -4 11- 13+  0  4
Curve Equation t 27456n1 [0,-1,0,23007,958113] 2 27456n2 [0,-1,0,-115233,8616609] 2 27456n3 [0,-1,0,-239073,-60001695] 2 27456n4 [0,-1,0,-4171233,-3277295007] 2
27456o (2 curves)	0	2+ 3+ 11- 13+	2+ 3+  2  0 11- 13+  0  6
Curve Equation t 27456o1 [0,-1,0,23,-215] 2 27456o2 [0,-1,0,-417,-2943] 2
27456p (6 curves)	0	2+ 3+ 11- 13+	2+ 3+  2  0 11- 13+ -6  4
Curve Equation t 27456p1 [0,-1,0,-1537,33793] 2 27456p2 [0,-1,0,-27457,1760065] 4 27456p3 [0,-1,0,-30337,1371265] 4 27456p4 [0,-1,0,-439297,112215553] 2 27456p5 [0,-1,0,85823,9246913] 2 27456p6 [0,-1,0,-192577,-31433663] 2
27456q (2 curves)	0	2+ 3+ 11- 13+	2+ 3+ -2  0 11- 13+  8 -2
Curve Equation t 27456q1 [0,-1,0,23711,2372449] 2 27456q2 [0,-1,0,-189249,26096193] 2
27456r (2 curves)	0	2+ 3+ 11- 13+	2+ 3+  3  5 11- 13+  0 -2
Curve Equation t 27456r1 [0,-1,0,831,-20799] 1 27456r2 [0,-1,0,-39489,-3012543] 1
27456s (2 curves)	0	2+ 3+ 11- 13+	2+ 3+  4 -4 11- 13+ -4  0
Curve Equation t 27456s1 [0,-1,0,-276,1638] 2 27456s2 [0,-1,0,439,8073] 2
27456t (1 curve)	1	2+ 3+ 11- 13-	2+ 3+  3  3 11- 13- -4 -6
Curve Equation t Generators 27456t1 [0,-1,0,671,-1823] 1 [19:132:1]
27456u (2 curves)	0	2+ 3- 11+ 13+	2+ 3-  0  0 11+ 13+ -4  8
Curve Equation t 27456u1 [0,1,0,127,735] 2 27456u2 [0,1,0,-833,6687] 2
27456v (1 curve)	0	2+ 3- 11+ 13+	2+ 3-  1  3 11+ 13+  0  6
Curve Equation t 27456v1 [0,1,0,-19425,-1238913] 1
27456w (2 curves)	0	2+ 3- 11+ 13+	2+ 3-  2  0 11+ 13+  0 -6
Curve Equation t 27456w1 [0,1,0,23,215] 2 27456w2 [0,1,0,-417,2943] 2
27456x (6 curves)	0	2+ 3- 11+ 13+	2+ 3-  2  0 11+ 13+  2 -4
Curve Equation t 27456x1 [0,1,0,-18877,992003] 2 27456x2 [0,1,0,-18897,989775] 4 27456x3 [0,1,0,-9537,1980063] 2 27456x4 [0,1,0,-28577,-142785] 4 27456x5 [0,1,0,113983,-1026657] 2 27456x6 [0,1,0,-326017,-71587873] 2
27456y (4 curves)	0	2+ 3- 11+ 13+	2+ 3-  2  0 11+ 13+  6  0
Curve Equation t 27456y1 [0,1,0,-9857,434655] 2 27456y2 [0,1,0,-164737,25680095] 4 27456y3 [0,1,0,-171777,23358303] 2 27456y4 [0,1,0,-2635777,1646188127] 2
27456z (2 curves)	0	2+ 3- 11+ 13+	2+ 3-  4  4 11+ 13+ -4  0
Curve Equation t 27456z1 [0,1,0,-276,-1638] 2 27456z2 [0,1,0,439,-8073] 2
27456ba (2 curves)	0	2+ 3- 11+ 13+	2+ 3- -4  0 11+ 13+  0  0
Curve Equation t 27456ba1 [0,1,0,-147265,-21896161] 2 27456ba2 [0,1,0,-2359105,-1395448801] 2
27456bb (1 curve)	1	2+ 3- 11+ 13-	2+ 3-  1 -3 11+ 13- -4  2
Curve Equation t Generators 27456bb1 [0,1,0,-2945,63711] 1 [139:1536:1]
27456bc (4 curves)	1	2+ 3- 11+ 13-	2+ 3- -2  0 11+ 13-  2 -4
Curve Equation t Generators 27456bc1 [0,1,0,351,-56385] 2 [7140:75285:64] 27456bc2 [0,1,0,-20129,-1076289] 4 [457:9240:1] 27456bc3 [0,1,0,-48289,2567615] 4 [-166:2457:1] 27456bc4 [0,1,0,-319649,-69666369] 2 [226639:972840:343]
27456bd (2 curves)	1	2+ 3- 11- 13+	2+ 3-  0 -2 11- 13+ -2 -6
Curve Equation t Generators 27456bd1 [0,1,0,-2133,37179] 2 [30:33:1] 27456bd2 [0,1,0,-2673,16335] 2 [-33:264:1]
27456be (4 curves)	1	2+ 3- 11- 13+	2+ 3- -2  0 11- 13+ -6  4
Curve Equation t Generators 27456be1 [0,1,0,116,-118] 2 [17:84:1] 27456be2 [0,1,0,-489,-1449] 4 [-9:48:1] 27456be3 [0,1,0,-4449,111807] 2 [57:216:1] 27456be4 [0,1,0,-6209,-190209] 2 [97:360:1]
27456bf (1 curve)	1	2+ 3- 11- 13+	2+ 3-  3  1 11- 13+ -8  6
Curve Equation t Generators 27456bf1 [0,1,0,-36609,60876639] 1 [-405:3072:1]
27456bg (2 curves)	0	2+ 3- 11- 13-	2+ 3-  0  4 11- 13-  8 -4
Curve Equation t 27456bg1 [0,1,0,47,-1969] 2 27456bg2 [0,1,0,-2113,-36961] 2
27456bh (2 curves)	0	2+ 3- 11- 13-	2+ 3-  2  4 11- 13-  4  6
Curve Equation t 27456bh1 [0,1,0,-3497,82455] 2 27456bh2 [0,1,0,-56737,5182847] 2
27456bi (4 curves)	0	2+ 3- 11- 13-	2+ 3- -2  4 11- 13-  2  4
Curve Equation t 27456bi1 [0,1,0,-68289,6836895] 2 27456bi2 [0,1,0,-88769,2376351] 4 27456bi3 [0,1,0,343871,19076255] 4 27456bi4 [0,1,0,-849089,-299470689] 2
27456bj (2 curves)	0	2- 3+ 11+ 13+	2- 3+  0  2 11+ 13+ -2  6
Curve Equation t 27456bj1 [0,-1,0,-2133,-37179] 2 27456bj2 [0,-1,0,-2673,-16335] 2
27456bk (1 curve)	0	2- 3+ 11+ 13+	2- 3+  3 -1 11+ 13+ -8 -6
Curve Equation t 27456bk1 [0,-1,0,-36609,-60876639] 1
27456bl (2 curves)	1	2- 3+ 11+ 13-	2- 3+  0 -4 11+ 13-  8  4
Curve Equation t Generators 27456bl1 [0,-1,0,47,1969] 2 [5:48:1] 27456bl2 [0,-1,0,-2113,36961] 2 [-3:208:1]
27456bm (1 curve)	1	2- 3+ 11+ 13-	2- 3+  1  1 11+ 13- -8 -2
Curve Equation t Generators 27456bm1 [0,-1,0,-65,-351] 1 [11:12:1]
27456bn (1 curve)	1	2- 3+ 11+ 13-	2- 3+ -1  1 11+ 13-  0  2
Curve Equation t Generators 27456bn1 [0,-1,0,16479,-4353183] 1 [207:2808:1]
27456bo (4 curves)	1	2- 3+ 11+ 13-	2- 3+ -2 -4 11+ 13-  2 -4
Curve Equation t Generators 27456bo1 [0,-1,0,-68289,-6836895] 2 [-1222:663:8] 27456bo2 [0,-1,0,-88769,-2376351] 4 [-261:1716:1] 27456bo3 [0,-1,0,343871,-19076255] 2 [6616:540189:1] 27456bo4 [0,-1,0,-849089,299470689] 4 [-155:20672:1]
27456bp (2 curves)	1	2- 3+ 11- 13+	2- 3+  0  0 11- 13+ -4 -8
Curve Equation t Generators 27456bp1 [0,-1,0,127,-735] 2 [8:27:1] 27456bp2 [0,-1,0,-833,-6687] 2 [-11:32:1]
27456bq (1 curve)	1	2- 3+ 11- 13+	2- 3+  1 -3 11- 13+  0 -6
Curve Equation t Generators 27456bq1 [0,-1,0,-19425,1238913] 1 [183:1944:1]
27456br (6 curves)	1	2- 3+ 11- 13+	2- 3+  2  0 11- 13+  2  4
Curve Equation t Generators 27456br1 [0,-1,0,-18877,-992003] 2 [25405:234696:125] 27456br2 [0,-1,0,-18897,-989775] 4 [709:18480:1] 27456br3 [0,-1,0,-9537,-1980063] 2 [173:1232:1] 27456br4 [0,-1,0,-28577,142785] 4 [19209:497420:27] 27456br5 [0,-1,0,113983,1026657] 2 [89020041:-2583442540:132651] 27456br6 [0,-1,0,-326017,71587873] 2 [-379:11856:1]
27456bs (4 curves)	1	2- 3+ 11- 13+	2- 3+  2  0 11- 13+  6  0
Curve Equation t Generators 27456bs1 [0,-1,0,-9857,-434655] 2 [3835:237380:1] 27456bs2 [0,-1,0,-164737,-25680095] 4 [-16677913760:-1430349921:71473375] 27456bs3 [0,-1,0,-171777,-23358303] 2 [-8169:24544:27] 27456bs4 [0,-1,0,-2635777,-1646188127] 2 [-371366995277506080:14797684763407:396336517671375]
27456bt (2 curves)	1	2- 3+ 11- 13+	2- 3+ -4  0 11- 13+  0  0
Curve Equation t Generators 27456bt1 [0,-1,0,-147265,21896161] 2 [232:405:1] 27456bt2 [0,-1,0,-2359105,1395448801] 2 [837:2560:1]
27456bu (2 curves)	1	2- 3+ 11- 13+	2- 3+ -4 -2 11- 13+  6 -2
Curve Equation t Generators 27456bu1 [0,-1,0,-560,-3834] 2 [-17:22:1] 27456bu2 [0,-1,0,-8425,-294839] 2 [379:7128:1]
27456bv (1 curve)	0	2- 3+ 11- 13-	2- 3+  1  3 11- 13- -4 -2
Curve Equation t 27456bv1 [0,-1,0,-2945,-63711] 1
27456bw (4 curves)	0	2- 3+ 11- 13-	2- 3+ -2  0 11- 13-  2  4
Curve Equation t 27456bw1 [0,-1,0,351,56385] 2 27456bw2 [0,-1,0,-20129,1076289] 4 27456bw3 [0,-1,0,-48289,-2567615] 2 27456bw4 [0,-1,0,-319649,69666369] 4
27456bx (4 curves)	1	2- 3- 11+ 13+	2- 3-  0 -2 11+ 13+  6  2
Curve Equation t Generators 27456bx1 [0,1,0,-380693,88921611] 2 [-581:10692:1] 27456bx2 [0,1,0,-774353,-126882801] 2 [-662:9801:1] 27456bx3 [0,1,0,-30707093,65484467307] 2 [-269:271524:1] 27456bx4 [0,1,0,-30707633,65482048431] 2 [8629:665652:1]
27456by (4 curves)	1	2- 3- 11+ 13+	2- 3-  0  4 11+ 13+  0 -4
Curve Equation t Generators 27456by1 [0,1,0,23007,-958113] 2 [186:3129:1] 27456by2 [0,1,0,-115233,-8616609] 2 [999:29568:1] 27456by3 [0,1,0,-239073,60001695] 2 [618161373249:7781307645952:1902014919] 27456by4 [0,1,0,-4171233,3277295007] 2 [309350629:4178786304:205379]
27456bz (6 curves)	1	2- 3- 11+ 13+	2- 3-  2  0 11+ 13+ -6 -4
Curve Equation t Generators 27456bz1 [0,1,0,-1537,-33793] 2 [74:513:1] 27456bz2 [0,1,0,-27457,-1760065] 4 [266:3135:1] 27456bz3 [0,1,0,-30337,-1371265] 4 [356158:4154445:1331] 27456bz4 [0,1,0,-439297,-112215553] 2 [170530:-5346429:125] 27456bz5 [0,1,0,85823,-9246913] 2 [372968089054:-7383906950685:1920495907] 27456bz6 [0,1,0,-192577,31433663] 2 [-3291:196768:27]
27456ca (2 curves)	1	2- 3- 11+ 13+	2- 3- -2  0 11+ 13+  8  2
Curve Equation t Generators 27456ca1 [0,1,0,23711,-2372449] 2 [95:864:1] 27456ca2 [0,1,0,-189249,-26096193] 2 [-321:1296:1]
27456cb (2 curves)	1	2- 3- 11+ 13+	2- 3-  3 -5 11+ 13+  0  2
Curve Equation t Generators 27456cb1 [0,1,0,831,20799] 1 [15:-192:1] 27456cb2 [0,1,0,-39489,3012543] 1 [111:-96:1]
27456cc (2 curves)	1	2- 3- 11+ 13+	2- 3- -4  2 11+ 13+  6  2
Curve Equation t Generators 27456cc1 [0,1,0,-560,3834] 2 [25:78:1] 27456cc2 [0,1,0,-8425,294839] 2 [17:396:1]
27456cd (1 curve)	0	2- 3- 11+ 13-	2- 3-  3 -3 11+ 13- -4  6
Curve Equation t 27456cd1 [0,1,0,671,1823] 1
27456ce (2 curves)	0	2- 3- 11- 13+	2- 3-  2  2 11- 13+  0  2
Curve Equation t 27456ce1 [0,1,0,-437,-145365] 2 27456ce2 [0,1,0,-44177,-3548337] 2
27456cf (2 curves)	0	2- 3- 11- 13+	2- 3-  2 -4 11- 13+  0  2
Curve Equation t 27456cf1 [0,1,0,-417,4575] 2 27456cf2 [0,1,0,-7457,245343] 2
27456cg (4 curves)	2	2- 3- 11- 13+	2- 3- -2 -4 11- 13+ -6  0
Curve Equation t Generators 27456cg1 [0,1,0,-3069,-49005] 2 [-42:87:1]&[-33:132:1] 27456cg2 [0,1,0,-17649,857871] 4 [-145:624:1]&[-87:1320:1] 27456cg3 [0,1,0,10431,3356991] 2 [-118:705:1]&[-105:1056:1] 27456cg4 [0,1,0,-279009,56632095] 2 [309:-132:1]&[-273:10608:1]
27456ch (2 curves)	0	2- 3- 11- 13+	2- 3- -3  1 11- 13+  0  2
Curve Equation t 27456ch1 [0,1,0,-6655137,-6610430241] 1 27456ch2 [0,1,0,-5166177,-9644645601] 1
27456ci (2 curves)	1	2- 3- 11- 13-	2- 3-  0  0 11- 13- -4  0
Curve Equation t Generators 27456ci1 [0,1,0,11407,1712271] 2 [154:-2673:1] 27456ci2 [0,1,0,-163553,23372319] 2 [463:-6864:1]
27456cj (2 curves)	1	2- 3- 11- 13-	2- 3-  1 -1 11- 13-  4  6
Curve Equation t Generators 27456cj1 [0,1,0,-369561665,-2737533428289] 1 [46255:-8895744:1] 27456cj2 [0,1,0,1046597695,171799068860991] 1 [191751781:102405579744:6859]
27456ck (1 curve)	1	2- 3- 11- 13-	2- 3-  1 -1 11- 13- -8  2
Curve Equation t Generators 27456ck1 [0,1,0,-65,351] 1 [-5:24:1]
27456cl (1 curve)	1	2- 3- 11- 13-	2- 3- -1 -1 11- 13-  0 -2
Curve Equation t Generators 27456cl1 [0,1,0,16479,4353183] 1 [1119:37752:1]
27456cm (4 curves)	1	2- 3- 11- 13-	2- 3-  2  0 11- 13- -2 -4
Curve Equation t Generators 27456cm1 [0,1,0,143,143] 2 [2:21:1] 27456cm2 [0,1,0,-577,575] 4 [50:315:1] 27456cm3 [0,1,0,-5857,-173665] 2 [2406:3815:27] 27456cm4 [0,1,0,-6817,213983] 2 [247:3696:1]
27456cn (2 curves)	1	2- 3- 11- 13-	2- 3- -2 -4 11- 13-  4 -2
Curve Equation t Generators 27456cn1 [0,1,0,351,351] 2 [15:96:1] 27456cn2 [0,1,0,-1409,1407] 2 [79:-624:1]
27456co (2 curves)	1	2- 3- 11- 13-	2- 3- -2 -4 11- 13- -8 -6
Curve Equation t Generators 27456co1 [0,1,0,-21249,3050751] 2 [5:1716:1] 27456co2 [0,1,0,-471809,124431615] 2 [9381:43264:27]
27456cp (2 curves)	1	2- 3- 11- 13-	2- 3- -4  4 11- 13-  4 -4
Curve Equation t Generators 27456cp1 [0,1,0,-65,3519] 2 [10:63:1] 27456cp2 [0,1,0,-3905,91839] 2 [15:192:1]

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