Cremona's table of elliptic curves

47610 = 2 · 3² · 5 · 23²

Class	r	Atkin-Lehner	Eigenvalues
47610a (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  0 -4 -2 -2  2
Curve Equation t 47610a1 [1,-1,0,-2425035,1452202741] 2 47610a2 [1,-1,0,-3155055,506242825] 2
47610b (2 curves)	2	2+ 3+ 5+ 23-	2+ 3+ 5+  1 -3 -4 -6 -2
Curve Equation t Generators 47610b1 [1,-1,0,-30,1026] 1 [-9:27:1]&[14:243:8] 47610b2 [1,-1,0,-8655,312101] 1 [-107:121:1]&[55:-14:1]
47610c (1 curve)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  1 -3  6  4 -2
Curve Equation t 47610c1 [1,-1,0,-894144465,-10290825776419] 1
47610d (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  2 -2  4 -6  4
Curve Equation t 47610d1 [1,-1,0,177645,-539918155] 2 47610d2 [1,-1,0,-8963475,-10030228939] 2
47610e (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+ -2  6  0 -2  4
Curve Equation t 47610e1 [1,-1,0,-33236640,93568332800] 2 47610e2 [1,-1,0,-570531360,5245042649216] 2
47610f (4 curves)	2	2+ 3+ 5+ 23-	2+ 3+ 5+ -2 -6 -4  6  4
Curve Equation t Generators 47610f1 [1,-1,0,3075,-18639] 2 [52:-555:1]&[12:135:1] 47610f2 [1,-1,0,-12795,-142425] 2 [-105:240:1]&[-826:2529:8] 47610f3 [1,-1,0,-36600,3078656] 2 [-40:2136:1]&[-8:1840:1] 47610f4 [1,-1,0,-607920,182587400] 2 [-6130:115655:8]&[167:9174:1]
47610g (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  4  0  0  4 -8
Curve Equation t 47610g1 [1,-1,0,-4860,114140] 2 47610g2 [1,-1,0,-20730,-1031674] 2
47610h (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  0  4 -2  2 -2
Curve Equation t Generators 47610h1 [1,-1,0,-4584,-118160] 2 [-39:32:1] 47610h2 [1,-1,0,-5964,-40052] 2 [-63:319:1]
47610i (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5- -1  3 -4  6  2
Curve Equation t Generators 47610i1 [1,-1,0,-15969,-12387717] 3 [5629584:204448995:4096] 47610i2 [1,-1,0,-4578594,-3769861492] 1 [1079779882016528:-7773819884175685:433454354432]
47610j (1 curve)	1	2+ 3+ 5- 23-	2+ 3+ 5- -1  3  6 -4  2
Curve Equation t Generators 47610j1 [1,-1,0,-1690254,846239060] 1 [751:-368:1]
47610k (4 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  4  0 -4  0  4
Curve Equation t Generators 47610k1 [1,-1,0,-2015589,-1100895147] 2 [-374885960067921:138639049949705:456710893101] 47610k2 [1,-1,0,-2079069,-1027804275] 2 [-5001417:-25695144:4913] 47610k3 [1,-1,0,-3293124,456249680] 2 [-31:23644:1] 47610k4 [1,-1,0,-39857604,96715899728] 2 [719:261231:1]
47610l (4 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0  0  6  2  0
Curve Equation t Generators 47610l1 [1,-1,0,-21381750,-67606919564] 2 [2882862895078:641066312025121:57512456] 47610l2 [1,-1,0,-411402870,-3210319100300] 4 [25370195078570773971670:5233569632720590116638665:488979810799195976] 47610l3 [1,-1,0,-481484790,-2041927346444] 2 [-52637995158603484:-3336273367074832633:3079001334592] 47610l4 [1,-1,0,-6581658870,-205516970674700] 2 [230950480442445912500526976240748729419090:-13726523076466338064564877851164738942502829:2424961034818119509566893468165359000]
47610m (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0  2  0  6 -4
Curve Equation t Generators 47610m1 [1,-1,0,637875,-202246875] 2 [666:22419:1] 47610m2 [1,-1,0,-3742245,-1928890179] 2 [188628:-7288923:64]
47610n (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0 -4  4  4  2
Curve Equation t Generators 47610n1 [1,-1,0,-565830,163396660] 2 [357:2429:1] 47610n2 [1,-1,0,-9044550,10471824436] 2 [1433:20546:1]
47610o (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0  6 -6  4  2
Curve Equation t Generators 47610o1 [1,-1,0,-599985,-237793559] 2 [7460:636899:1] 47610o2 [1,-1,0,-10455255,-13008252425] 2 [10330771:808145485:1331]
47610p (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  1 -3 -4  6 -8
Curve Equation t Generators 47610p1 [1,-1,0,2385,74925] 1 [15:-345:1] 47610p2 [1,-1,0,-22455,-2622699] 1 [4983:349071:1]
47610q (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  2 -2 -6 -4  0
Curve Equation t Generators 47610q1 [1,-1,0,18945,9035725] 2 [-109:2435:1] 47610q2 [1,-1,0,-552375,151751461] 2 [213:6506:1]
47610r (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -3  3  0  2  6
Curve Equation t Generators 47610r1 [1,-1,0,-52470,819238900] 1 [3430:234985:8]
47610s (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -3  5  0 -6 -4
Curve Equation t Generators 47610s1 [1,-1,0,-11562705,-15720912675] 1 [921985680:436915770285:4096]
47610t (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+ -4  2  2  0  2
Curve Equation t Generators 47610t1 [1,-1,0,6525,-39339] 2 [75:-969:1] 47610t2 [1,-1,0,-26595,-297675] 2 [-155:365:1]
47610u (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+  5 -5  0  2  6
Curve Equation t Generators 47610u1 [1,-1,0,603720,280190200] 1 [12157535:907857170:2197]
47610v (2 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  0 -2  4  6  8
Curve Equation t 47610v1 [1,-1,0,-1166544,-486749952] 2 47610v2 [1,-1,0,-18687024,-31088020320] 2
47610w (6 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  0  4 -2 -6 -4
Curve Equation t 47610w1 [1,-1,0,-1999719,1194630525] 2 47610w2 [1,-1,0,-32850999,72479598093] 4 47610w3 [1,-1,0,-33707979,68499268785] 4 47610w4 [1,-1,0,-525614499,4638327636393] 2 47610w5 [1,-1,0,41849091,331845880563] 2 47610w6 [1,-1,0,-122976729,-449598702465] 2
47610x (2 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  0  4  4 -4 -2
Curve Equation t 47610x1 [1,-1,0,-299324169,-1986251217395] 2 47610x2 [1,-1,0,-4784567049,-127381980510707] 2
47610y (2 curves)	2	2+ 3- 5- 23-	2+ 3- 5-  0 -6 -6 -4 -2
Curve Equation t Generators 47610y1 [1,-1,0,-1134,19840] 2 [-34:152:1]&[14:-88:1] 47610y2 [1,-1,0,-19764,1074298] 2 [77:29:1]&[-103:1469:1]
47610z (2 curves)	0	2+ 3- 5- 23-	2+ 3- 5- -1  3 -4 -6  8
Curve Equation t 47610z1 [1,-1,0,1261566,-919182060] 1 47610z2 [1,-1,0,-11878794,31981651308] 3
47610ba (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5-  3 -3  0 -2 -6
Curve Equation t 47610ba1 [1,-1,0,-99,-67307] 1
47610bb (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5-  3 -5  0  6  4
Curve Equation t 47610bb1 [1,-1,0,-6116671044,191313044542800] 1
47610bc (2 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  4 -2  2  0 -2
Curve Equation t 47610bc1 [1,-1,0,3451626,457927668] 2 47610bc2 [1,-1,0,-14068854,3706224660] 2
47610bd (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5- -5  5  0 -2 -6
Curve Equation t 47610bd1 [1,-1,0,319367781,-3410990370275] 1
47610be (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+  0 -4 -2 -2 -2
Curve Equation t Generators 47610be1 [1,-1,1,-41258,3231577] 2 [167:905:1] 47610be2 [1,-1,1,-53678,1135081] 2 [221:61:1]
47610bf (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+ -1 -3 -4 -6  2
Curve Equation t Generators 47610bf1 [1,-1,1,-508733,139794077] 3 [-6346:56069:8] 47610bf2 [1,-1,1,-143723,334612081] 1 [-4263930:42731549:5832]
47610bg (1 curve)	1	2- 3+ 5+ 23-	2- 3+ 5+ -1 -3  6  4  2
Curve Equation t Generators 47610bg1 [1,-1,1,-15212288,-22833242333] 1 [4813:121793:1]
47610bh (4 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+  4  0 -4  0  4
Curve Equation t Generators 47610bh1 [1,-1,1,-365903,-16776169] 2 [811:14406:1] 47610bh2 [1,-1,1,-4428623,-3580594153] 2 [5227:338062:1] 47610bh3 [1,-1,1,-18140303,29742309271] 2 [1824939:1812574:729] 47610bh4 [1,-1,1,-18711623,27769427047] 2 [263473812:-15044766965:46656]
47610bi (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  0  4 -2  2  2
Curve Equation t 47610bi1 [1,-1,1,-21825317,-39187648691] 2 47610bi2 [1,-1,1,-28395497,-13640160779] 2
47610bj (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  1  3 -4  6 -2
Curve Equation t 47610bj1 [1,-1,1,-962,-11239] 1 47610bj2 [1,-1,1,-272,-27431] 1
47610bk (1 curve)	0	2- 3+ 5- 23-	2- 3+ 5-  1  3  6 -4 -2
Curve Equation t 47610bk1 [1,-1,1,-8047300187,277860343263499] 1
47610bl (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  2  2  4  6  4
Curve Equation t 47610bl1 [1,-1,1,19738,19990389] 2 47610bl2 [1,-1,1,-995942,371821941] 2
47610bm (4 curves)	0	2- 3+ 5- 23-	2- 3+ 5- -2  6 -4 -6  4
Curve Equation t 47610bm1 [1,-1,1,-4067,-112669] 2 47610bm2 [1,-1,1,-67547,-6739981] 2 47610bm3 [1,-1,1,27673,475579] 2 47610bm4 [1,-1,1,-115157,3960631] 2
47610bn (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5- -2 -6  0  2  4
Curve Equation t 47610bn1 [1,-1,1,-299129762,-2526045855839] 2 47610bn2 [1,-1,1,-5134782242,-141611016746591] 2
47610bo (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  4  0  0 -4 -8
Curve Equation t 47610bo1 [1,-1,1,-43742,-3038039] 2 47610bo2 [1,-1,1,-186572,28041769] 2
47610bp (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  0  0  4  0  6
Curve Equation t 47610bp1 [1,-1,1,-7991438,-8655486883] 2 47610bp2 [1,-1,1,-12371558,1888337981] 2
47610bq (4 curves)	2	2- 3- 5+ 23-	2- 3- 5+  0 -4 -6 -6 -4
Curve Equation t Generators 47610bq1 [1,-1,1,-2873363,-1866348493] 2 [-933:1762:1]&[5871:-431426:1] 47610bq2 [1,-1,1,-4396883,329348531] 4 [-1545:59362:1]&[-983:61326:1] 47610bq3 [1,-1,1,17503717,2615771171] 2 [3157:297306:1]&[31488475502172:-3293176862073961:14598344384] 47610bq4 [1,-1,1,-50673803,138549253187] 2 [1225:279228:1]&[31190:107129:8]
47610br (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  1  3  2  0  4
Curve Equation t 47610br1 [1,-1,1,6243952,-15465478453] 1 47610br2 [1,-1,1,-333762863,-2350088272969] 1
47610bs (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+ -1  3 -2  0 -2
Curve Equation t 47610bs1 [1,-1,1,-203,-1119] 1
47610bt (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+ -1  3 -4  6  2
Curve Equation t 47610bt1 [1,-1,1,-4158833,-11171865823] 1 47610bt2 [1,-1,1,36904792,278720901227] 3
47610bu (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+ -1 -5  6  8  6
Curve Equation t 47610bu1 [1,-1,1,-157463033,1212077776281] 1
47610bv (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  2  6 -2  0  4
Curve Equation t 47610bv1 [1,-1,1,816412,-670205433] 2 47610bv2 [1,-1,1,-8324708,-8100107769] 2
47610bw (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+ -2  4  4  3 -1
Curve Equation t 47610bw1 [1,-1,1,-3611318,26455068357] 1
47610bx (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+  3 -1  4 -2 -6
Curve Equation t 47610bx1 [1,-1,1,221287,-588769] 1
47610by (1 curve)	2	2- 3- 5+ 23-	2- 3- 5+ -3 -1 -6  0 -4
Curve Equation t Generators 47610by1 [1,-1,1,-2273,63281] 1 [15:172:1]&[-45:292:1]
47610bz (8 curves)	0	2- 3- 5+ 23-	2- 3- 5+  4  0  2  6  4
Curve Equation t 47610bz1 [1,-1,1,7042,696701] 2 47610bz2 [1,-1,1,-88178,9152237] 4 47610bz3 [1,-1,1,-64373,-20556403] 2 47610bz4 [1,-1,1,-326228,-61691443] 2 47610bz5 [1,-1,1,-1373648,620007581] 2 47610bz6 [1,-1,1,-1587893,-768300019] 4 47610bz7 [1,-1,1,-25392893,-49244802019] 2 47610bz8 [1,-1,1,-2159213,-165671683] 2
47610ca (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  4  0 -4  3  1
Curve Equation t 47610ca1 [1,-1,1,-203,1181] 1 47610ca2 [1,-1,1,832,4907] 1
47610cb (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+ -4 -2  0  2  0
Curve Equation t 47610cb1 [1,-1,1,792607,-137001999] 2 47610cb2 [1,-1,1,-3587513,-1158445983] 2
47610cc (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  0  0  4  0 -6
Curve Equation t Generators 47610cc1 [1,-1,1,-15107,715331] 2 [81:94:1] 47610cc2 [1,-1,1,-23387,-149101] 2 [-63:1066:1]
47610cd (4 curves)	1	2- 3- 5- 23-	2- 3- 5-  0  4 -2  2  0
Curve Equation t Generators 47610cd1 [1,-1,1,-59612,3067679] 4 [219:583:1] 47610cd2 [1,-1,1,-440492,-110282209] 4 [12915:1459237:1] 47610cd3 [1,-1,1,35608,-336524929] 2 [1340128155:151585220321:103823] 47610cd4 [1,-1,1,-7010672,-7143002881] 2 [43953135:4880709997:3375]
47610ce (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  1 -3 -2  0  2
Curve Equation t Generators 47610ce1 [1,-1,1,-107222,14254971] 1 [10004:67821:64]
47610cf (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  1 -3 -4 -6 -2
Curve Equation t Generators 47610cf1 [1,-1,1,-7862,920261] 1 [-39:-1061:1] 47610cf2 [1,-1,1,69763,-22926139] 1 [2031:91144:1]
47610cg (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  1  5  6 -8 -6
Curve Equation t Generators 47610cg1 [1,-1,1,-297662,-99542451] 1 [857:16131:1]
47610ch (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -1 -3  2  0 -4
Curve Equation t Generators 47610ch1 [1,-1,1,11803,1268021] 1 [-51:754:1] 47610ch2 [1,-1,1,-630932,193317239] 3 [-753:15901:1]
47610ci (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  2  2 -2  0 -8
Curve Equation t Generators 47610ci1 [1,-1,1,-108443777,-29842574204271] 2 [53228197:-7289641764:1331] 47610ci2 [1,-1,1,-15102165857,-705393718751919] 2 [-75709:-1966896:1]
47610cj (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  2 -4  4 -3  1
Curve Equation t Generators 47610cj1 [1,-1,1,-6827,-2172549] 1 [171:1194:1]
47610ck (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  3  1 -6  0  4
Curve Equation t Generators 47610ck1 [1,-1,1,-1202252,-762729649] 1 [4629:302389:1]
47610cl (1 curve)	1	2- 3- 5- 23-	2- 3- 5- -3  1  4  2  6
Curve Equation t Generators 47610cl1 [1,-1,1,418,-61] 1 [126:743:8]
47610cm (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -4  0 -4 -3 -1
Curve Equation t Generators 47610cm1 [1,-1,1,-107222,-13729129] 1 [2054114022046999932:-80250271104150524177:1314659727974592] 47610cm2 [1,-1,1,440293,-62348461] 3 [375879:44210342:27]
47610cn (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -4  2  4 -6  4
Curve Equation t Generators 47610cn1 [1,-1,1,-59612,-10121349] 2 [164642341968:-22349718148107:8998912] 47610cn2 [1,-1,1,-1154642,-477042141] 2 [-10717746:2783377:17576]

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