Cremona's table of elliptic curves

119850 = 2 · 3 · 5² · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
119850a (1 curve)	1	2+ 3+ 5+ 17+ 47+	2+ 3+ 5+  0 -5  7 17+ -4
Curve Equation t Generators 119850a1 [1,1,0,-1315460,471260880] 1 [-34593:218522:27]
119850b (4 curves)	0	2+ 3+ 5+ 17+ 47-	2+ 3+ 5+  0  0  2 17+  0
Curve Equation t 119850b1 [1,1,0,-28075500,57352050000] 2 119850b2 [1,1,0,-449437500,3667160304000] 4 119850b3 [1,1,0,-449667000,3663227362500] 2 119850b4 [1,1,0,-7191000000,234707248741500] 2
119850c (2 curves)	0	2+ 3+ 5+ 17+ 47-	2+ 3+ 5+  0 -2 -6 17+ -2
Curve Equation t 119850c1 [1,1,0,-27175,-1740875] 2 119850c2 [1,1,0,-435175,-110676875] 2
119850d (4 curves)	0	2+ 3+ 5+ 17+ 47-	2+ 3+ 5+  0  4 -2 17+ -4
Curve Equation t 119850d1 [1,1,0,-321326650,3029274212500] 2 119850d2 [1,1,0,-5648174650,163362072164500] 4 119850d3 [1,1,0,-6158174650,132102642164500] 2 119850d4 [1,1,0,-90367742650,10456027108052500] 2
119850e (6 curves)	0	2+ 3+ 5+ 17+ 47-	2+ 3+ 5+  0 -4  2 17+ -4
Curve Equation t 119850e1 [1,1,0,59500,8850000] 2 119850e2 [1,1,0,-452500,94354000] 4 119850e3 [1,1,0,-2252500,-1217846000] 4 119850e4 [1,1,0,-6844500,6889050000] 2 119850e5 [1,1,0,2082500,-5340431000] 2 119850e6 [1,1,0,-35387500,-81040061000] 2
119850f (2 curves)	2	2+ 3+ 5+ 17+ 47-	2+ 3+ 5+  0 -4 -4 17+  4
Curve Equation t Generators 119850f1 [1,1,0,40475,-405875] 2 [106:-2309:1]&[85:1870:1] 119850f2 [1,1,0,-163525,-3465875] 2 [-315:4270:1]&[629:11645:1]
119850g (1 curve)	0	2+ 3+ 5+ 17+ 47-	2+ 3+ 5+  3  3  2 17+  0
Curve Equation t 119850g1 [1,1,0,56550,22036500] 1
119850h (1 curve)	0	2+ 3+ 5+ 17+ 47-	2+ 3+ 5+  3  5  2 17+  8
Curve Equation t 119850h1 [1,1,0,-12367050,29500411860] 1
119850i (1 curve)	0	2+ 3+ 5+ 17+ 47-	2+ 3+ 5+  5  6  5 17+ -4
Curve Equation t 119850i1 [1,1,0,-130,-590] 1
119850j (2 curves)	0	2+ 3+ 5+ 17- 47+	2+ 3+ 5+  2  2  2 17-  0
Curve Equation t 119850j1 [1,1,0,-5125,-21875] 2 119850j2 [1,1,0,-52125,4537125] 2
119850k (2 curves)	1	2+ 3+ 5+ 17- 47-	2+ 3+ 5+  0 -6  0 17- -6
Curve Equation t Generators 119850k1 [1,1,0,1675,454125] 2 [11:-694:1] 119850k2 [1,1,0,-79325,8311125] 2 [245:-2035:1]
119850l (2 curves)	1	2+ 3+ 5+ 17- 47-	2+ 3+ 5+  2  4  2 17-  2
Curve Equation t Generators 119850l1 [1,1,0,-1500,-6000] 2 [-5:40:1] 119850l2 [1,1,0,-18500,-975000] 2 [1505:57410:1]
119850m (2 curves)	1	2+ 3+ 5+ 17- 47-	2+ 3+ 5+ -2 -2  6 17-  4
Curve Equation t Generators 119850m1 [1,1,0,-13271275,18589088125] 2 [-3779:123511:1] 119850m2 [1,1,0,-16279275,9532000125] 2 [-1771561407:-53688220356:456533]
119850n (1 curve)	1	2+ 3+ 5+ 17- 47-	2+ 3+ 5+ -2  4 -6 17-  4
Curve Equation t Generators 119850n1 [1,1,0,60,-120] 1 [29:150:1]
119850o (2 curves)	1	2+ 3+ 5+ 17- 47-	2+ 3+ 5+  4 -3  1 17- -4
Curve Equation t Generators 119850o1 [1,1,0,-151575,9127125] 1 [-12044:362539:64] 119850o2 [1,1,0,-6451575,-6309772875] 1 [-1469:1228:1]
119850p (1 curve)	0	2+ 3+ 5- 17+ 47+	2+ 3+ 5- -1 -2  5 17+  4
Curve Equation t 119850p1 [1,1,0,-666825,172477125] 1
119850q (1 curve)	1	2+ 3+ 5- 17+ 47-	2+ 3+ 5-  0  3 -1 17+ -2
Curve Equation t Generators 119850q1 [1,1,0,-8800,313450] 1 [51:-2:1]
119850r (2 curves)	1	2+ 3+ 5- 17- 47+	2+ 3+ 5- -2  0 -2 17- -8
Curve Equation t Generators 119850r1 [1,1,0,-28325,-1830375] 2 [216:1371:1] 119850r2 [1,1,0,-7075,-4486625] 2 [5457:39017:27]
119850s (2 curves)	2	2+ 3+ 5- 17- 47-	2+ 3+ 5- -2  0 -4 17- -4
Curve Equation t Generators 119850s1 [1,1,0,-2660,51900] 2 [25:-55:1]&[-10:1885:8] 119850s2 [1,1,0,-42610,3367750] 2 [-185:2320:1]&[85:565:1]
119850t (1 curve)	0	2+ 3- 5+ 17+ 47+	2+ 3- 5+ -1  5  4 17+ -4
Curve Equation t 119850t1 [1,0,1,-808506,-279883412] 1
119850u (1 curve)	0	2+ 3- 5+ 17+ 47+	2+ 3- 5+  2 -4 -2 17+ -4
Curve Equation t 119850u1 [1,0,1,2629049,-1506391702] 1
119850v (4 curves)	0	2+ 3- 5+ 17+ 47+	2+ 3- 5+  4  0  2 17+  4
Curve Equation t 119850v1 [1,0,1,109249,28264898] 2 119850v2 [1,0,1,-995251,326479898] 4 119850v3 [1,0,1,-4391001,-3225474602] 2 119850v4 [1,0,1,-15271501,22968612398] 2
119850w (2 curves)	0	2+ 3- 5+ 17+ 47+	2+ 3- 5+  4 -4 -2 17+  2
Curve Equation t 119850w1 [1,0,1,-8352076,-9291301702] 2 119850w2 [1,0,1,-133633576,-594606469702] 2
119850x (6 curves)	1	2+ 3- 5+ 17+ 47-	2+ 3- 5+  0 -4  2 17+  4
Curve Equation t Generators 119850x1 [1,0,1,26899,413415848] 2 [492:23116:1] 119850x2 [1,0,1,-8165101,8818407848] 4 [382:75671:1] 119850x3 [1,0,1,-17413101,-14837976152] 4 [-2068:112071:1] 119850x4 [1,0,1,-129989101,570427047848] 2 [6892:40391:1] 119850x5 [1,0,1,57692899,-108720476152] 2 [10716:1313767:1] 119850x6 [1,0,1,-240487101,-1434927060152] 2 [17966:199767:1]
119850y (2 curves)	1	2+ 3- 5+ 17- 47+	2+ 3- 5+ -2  0  0 17-  0
Curve Equation t Generators 119850y1 [1,0,1,12724,-221302] 2 [4148:57819:64] 119850y2 [1,0,1,-55276,-1853302] 2 [-1354:13723:8]
119850z (2 curves)	1	2+ 3- 5+ 17- 47+	2+ 3- 5+ -2  2 -2 17-  4
Curve Equation t Generators 119850z1 [1,0,1,-47876,-4687102] 2 [4106542:225462801:1331] 119850z2 [1,0,1,-799876,-275407102] 2 [12342:1361266:1]
119850ba (2 curves)	1	2+ 3- 5+ 17- 47+	2+ 3- 5+ -2 -6  2 17-  0
Curve Equation t Generators 119850ba1 [1,0,1,-219801,-39269252] 2 [-268:771:1] 119850ba2 [1,0,1,-407801,37810748] 2 [-498:11086:1]
119850bb (1 curve)	1	2+ 3- 5+ 17- 47+	2+ 3- 5+  4  5 -5 17- -8
Curve Equation t Generators 119850bb1 [1,0,1,-26,38] 1 [6:7:1]
119850bc (2 curves)	0	2+ 3- 5+ 17- 47-	2+ 3- 5+  0 -2 -4 17-  6
Curve Equation t 119850bc1 [1,0,1,-338526,-81221552] 2 119850bc2 [1,0,1,-5522526,-4995653552] 2
119850bd (2 curves)	0	2+ 3- 5+ 17- 47-	2+ 3- 5+  2 -2 -6 17-  0
Curve Equation t 119850bd1 [1,0,1,95477724,-507905166302] 2 119850bd2 [1,0,1,-674570276,-5269881998302] 2
119850be (2 curves)	0	2+ 3- 5+ 17- 47-	2+ 3- 5+  2  4  6 17-  6
Curve Equation t 119850be1 [1,0,1,-82901,9179948] 2 119850be2 [1,0,1,-87151,8185448] 2
119850bf (2 curves)	0	2+ 3- 5+ 17- 47-	2+ 3- 5+  2  6  2 17- -8
Curve Equation t 119850bf1 [1,0,1,1474,-30052] 2 119850bf2 [1,0,1,-10276,-312052] 2
119850bg (2 curves)	2	2+ 3- 5+ 17- 47-	2+ 3- 5+  2 -6 -2 17-  0
Curve Equation t Generators 119850bg1 [1,0,1,-510026,-586530052] 2 [1122:15376:1]&[1581:49801:1] 119850bg2 [1,0,1,-14093026,-20309046052] 2 [-2258:2441:1]&[-2108:6791:1]
119850bh (1 curve)	2	2+ 3- 5+ 17- 47-	2+ 3- 5+ -4 -3  1 17-  0
Curve Equation t Generators 119850bh1 [1,0,1,-394371,21259558] 1 [-574:7941:1]&[-484:10182:1]
119850bi (1 curve)	1	2+ 3- 5- 17+ 47+	2+ 3- 5-  0  3  1 17+  6
Curve Equation t Generators 119850bi1 [1,0,1,-3362576,2369249048] 1 [1098:544:1]
119850bj (1 curve)	1	2+ 3- 5- 17+ 47+	2+ 3- 5-  4  1 -2 17+  2
Curve Equation t Generators 119850bj1 [1,0,1,-233326,43545248] 1 [346:1892:1]
119850bk (2 curves)	0	2+ 3- 5- 17- 47+	2+ 3- 5-  0  0  6 17-  2
Curve Equation t 119850bk1 [1,0,1,-5266059201,147031286978548] 2 119850bk2 [1,0,1,-4430849201,195237937758548] 2
119850bl (1 curve)	0	2+ 3- 5- 17- 47+	2+ 3- 5-  0  2 -2 17- -4
Curve Equation t 119850bl1 [1,0,1,-209067076,1175423839298] 1
119850bm (1 curve)	0	2+ 3- 5- 17- 47+	2+ 3- 5-  0 -3 -2 17-  6
Curve Equation t 119850bm1 [1,0,1,-30201,3196798] 1
119850bn (1 curve)	0	2+ 3- 5- 17- 47+	2+ 3- 5-  0  5  1 17-  2
Curve Equation t 119850bn1 [1,0,1,-32326,-2238952] 1
119850bo (2 curves)	2	2+ 3- 5- 17- 47+	2+ 3- 5- -1 -3 -4 17- -4
Curve Equation t Generators 119850bo1 [1,0,1,7799,-140452] 3 [18:67:1]&[27:286:1] 119850bo2 [1,0,1,-151576,-23154202] 1 [3894:32411:8]&[1353:46747:1]
119850bp (2 curves)	0	2- 3+ 5+ 17+ 47+	2- 3+ 5+  2 -2 -6 17+  0
Curve Equation t 119850bp1 [1,1,1,-210563,46750781] 2 119850bp2 [1,1,1,-3606313,2634312281] 2
119850bq (2 curves)	0	2- 3+ 5+ 17+ 47+	2- 3+ 5+  2  4  6 17+ -6
Curve Equation t 119850bq1 [1,1,1,-13713,434031] 2 119850bq2 [1,1,1,-81713,-8677969] 2
119850br (1 curve)	1	2- 3+ 5+ 17+ 47-	2- 3+ 5+  0  2  2 17+ -4
Curve Equation t Generators 119850br1 [1,1,1,-8362683,9400045641] 1 [1971:23078:1]
119850bs (1 curve)	1	2- 3+ 5+ 17+ 47-	2- 3+ 5+  0 -3  2 17+  6
Curve Equation t Generators 119850bs1 [1,1,1,-1208,25091] 1 [77628:397579:1728]
119850bt (1 curve)	1	2- 3+ 5+ 17+ 47-	2- 3+ 5+  0  5 -1 17+  2
Curve Equation t Generators 119850bt1 [1,1,1,-1293,-18429] 1 [-21:12:1]
119850bu (2 curves)	1	2- 3+ 5+ 17+ 47-	2- 3+ 5+  1 -3  4 17+ -4
Curve Equation t Generators 119850bu1 [1,1,1,312,-999] 1 [21:113:1] 119850bu2 [1,1,1,-6063,-187659] 1 [219:-3118:1]
119850bv (2 curves)	1	2- 3+ 5+ 17- 47+	2- 3+ 5+  0 -2  2 17-  2
Curve Equation t Generators 119850bv1 [1,1,1,-1088,-44719] 2 [51:163:1] 119850bv2 [1,1,1,-26588,-1676719] 2 [901:26135:1]
119850bw (2 curves)	1	2- 3+ 5+ 17- 47+	2- 3+ 5+ -4  0  2 17- -4
Curve Equation t Generators 119850bw1 [1,1,1,412,-26719] 2 [46600:427219:512] 119850bw2 [1,1,1,-11338,-449719] 2 [2990:53751:8]
119850bx (2 curves)	0	2- 3+ 5+ 17- 47-	2- 3+ 5+  0  0 -4 17-  6
Curve Equation t 119850bx1 [1,1,1,-1260563,-618452719] 2 119850bx2 [1,1,1,-20912563,-36817436719] 2
119850by (2 curves)	0	2- 3+ 5+ 17- 47-	2- 3+ 5+  0  0  6 17-  0
Curve Equation t 119850by1 [1,1,1,187,-180469] 2 119850by2 [1,1,1,-46813,-3846469] 2
119850bz (1 curve)	0	2- 3+ 5+ 17- 47-	2- 3+ 5+  0  3 -1 17-  6
Curve Equation t 119850bz1 [1,1,1,-134503,18900191] 1
119850ca (4 curves)	0	2- 3+ 5+ 17- 47-	2- 3+ 5+  4  0  4 17-  2
Curve Equation t 119850ca1 [1,1,1,175937,124617281] 2 119850ca2 [1,1,1,-2922313,1791475781] 2 119850ca3 [1,1,1,-1595938,-3514813969] 2 119850ca4 [1,1,1,-45812938,-119009617969] 2
119850cb (2 curves)	0	2- 3+ 5+ 17- 47-	2- 3+ 5+  4  4  0 17- -2
Curve Equation t 119850cb1 [1,1,1,65162,-26115469] 2 119850cb2 [1,1,1,-1022838,-369923469] 2
119850cc (1 curve)	0	2- 3+ 5+ 17- 47-	2- 3+ 5+ -4  1  2 17-  2
Curve Equation t 119850cc1 [1,1,1,-5833138,5443156031] 1
119850cd (1 curve)	1	2- 3+ 5- 17+ 47+	2- 3+ 5-  4 -3 -1 17+  0
Curve Equation t Generators 119850cd1 [1,1,1,-9859263,2657444781] 1 [-3115:57732:1]
119850ce (2 curves)	0	2- 3+ 5- 17+ 47-	2- 3+ 5-  0  0 -6 17+  2
Curve Equation t 119850ce1 [1,1,1,-210642368,1176166038881] 2 119850ce2 [1,1,1,-177233968,1561832608481] 2
119850cf (1 curve)	0	2- 3+ 5- 17+ 47-	2- 3+ 5- -4  5  5 17+ -8
Curve Equation t 119850cf1 [1,1,1,-638,4781] 1
119850cg (1 curve)	1	2- 3+ 5- 17- 47-	2- 3+ 5-  1  5 -4 17- -4
Curve Equation t Generators 119850cg1 [1,1,1,-20212638,-34985426469] 1 [32385:5752407:1]
119850ch (1 curve)	1	2- 3+ 5- 17- 47-	2- 3+ 5- -2 -4  2 17- -4
Curve Equation t Generators 119850ch1 [1,1,1,105162,-12009069] 1 [195:3897:1]
119850ci (2 curves)	1	2- 3- 5+ 17+ 47+	2- 3- 5+  2 -4  6 17+ -6
Curve Equation t Generators 119850ci1 [1,0,0,-4813772463,123143878383417] 2 [22662:5057469:1] 119850ci2 [1,0,0,-76116940463,8082930431727417] 2 [156742:-1827971:1]
119850cj (2 curves)	1	2- 3- 5+ 17+ 47+	2- 3- 5+ -2  4  2 17+  2
Curve Equation t Generators 119850cj1 [1,0,0,-85188,-8339508] 2 [-954:3327:8] 119850cj2 [1,0,0,-1313438,-579475758] 2 [-36414526:22241513:54872]
119850ck (2 curves)	1	2- 3- 5+ 17+ 47+	2- 3- 5+ -4  2  6 17+  0
Curve Equation t Generators 119850ck1 [1,0,0,-4888,-38608] 2 [-58:254:1] 119850ck2 [1,0,0,18612,-297108] 2 [36:630:1]
119850cl (1 curve)	0	2- 3- 5+ 17- 47+	2- 3- 5+  0  3  1 17- -2
Curve Equation t 119850cl1 [1,0,0,-220013,39621267] 1
119850cm (2 curves)	1	2- 3- 5+ 17- 47-	2- 3- 5+  0  0  4 17- -2
Curve Equation t Generators 119850cm1 [1,0,0,-116938,1707827492] 2 [608:-43450:1] 119850cm2 [1,0,0,-22148938,39580835492] 2 [-4888:178694:1]
119850cn (2 curves)	1	2- 3- 5+ 17- 47-	2- 3- 5+  0  4 -4 17- -6
Curve Equation t Generators 119850cn1 [1,0,0,-913,19817] 2 [-4:155:1] 119850cn2 [1,0,0,-17913,920817] 2 [72:39:1]
119850co (1 curve)	1	2- 3- 5+ 17- 47-	2- 3- 5+  1 -2 -5 17-  4
Curve Equation t Generators 119850co1 [1,0,0,-26673,1379817] 1 [-54:1659:1]
119850cp (2 curves)	0	2- 3- 5- 17+ 47+	2- 3- 5-  2  0  4 17+ -4
Curve Equation t 119850cp1 [1,0,0,-66513,6620517] 2 119850cp2 [1,0,0,-1065263,423099267] 2
119850cq (1 curve)	0	2- 3- 5- 17+ 47+	2- 3- 5-  2  4  6 17+  4
Curve Equation t 119850cq1 [1,0,0,1487,-17983] 1
119850cr (2 curves)	2	2- 3- 5- 17+ 47+	2- 3- 5- -4 -3 -1 17+ -4
Curve Equation t Generators 119850cr1 [1,0,0,-6063,73017] 3 [72:69:1]&[-78:309:1] 119850cr2 [1,0,0,-258063,-50478183] 1 [-294:189:1]&[-292:167:1]
119850cs (2 curves)	1	2- 3- 5- 17+ 47-	2- 3- 5-  2  0  2 17+ -8
Curve Equation t Generators 119850cs1 [1,0,0,-1133,-14643] 2 [-154:167:8] 119850cs2 [1,0,0,-283,-35893] 2 [934:9415:8]
119850ct (1 curve)	1	2- 3- 5- 17- 47+	2- 3- 5- -3  3 -2 17-  0
Curve Equation t Generators 119850ct1 [1,0,0,2262,176292] 1 [-12:390:1]
119850cu (1 curve)	1	2- 3- 5- 17- 47+	2- 3- 5- -3  5 -2 17-  8
Curve Equation t Generators 119850cu1 [1,0,0,-309176263,3688169835017] 1 [10418:-1269295:1]
119850cv (1 curve)	1	2- 3- 5- 17- 47+	2- 3- 5- -5  6 -5 17- -4
Curve Equation t Generators 119850cv1 [1,0,0,-3263,-67233] 1 [-226:521:8]
119850cw (1 curve)	2	2- 3- 5- 17- 47-	2- 3- 5-  0 -5 -7 17- -4
Curve Equation t Generators 119850cw1 [1,0,0,-32886513,58973383017] 1 [-6348:112449:1]&[-5598:-257301:1]

Data from Elliptic Curve Data by J. E. Cremona.
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