Cremona's table of elliptic curves

17424 = 2⁴ · 3² · 11²

Class	r	Atkin-Lehner	Eigenvalues
17424a (2 curves)	1	2+ 3+ 11+	2+ 3+  2  2 11+ -2  2  4
Curve Equation t Generators 17424a1 [0,0,0,-11979,-322102] 2 [-29:30:1] 17424a2 [0,0,0,-171699,-27378670] 2 [99583:31424910:1]
17424b (2 curves)	1	2+ 3+ 11+	2+ 3+  2 -2 11+  2 -2 -4
Curve Equation t Generators 17424b1 [0,0,0,-99,242] 2 [1:12:1] 17424b2 [0,0,0,-1419,20570] 2 [23:10:1]
17424c (2 curves)	1	2+ 3+ 11+	2+ 3+ -2  2 11+ -2 -2  4
Curve Equation t Generators 17424c1 [0,0,0,-107811,8696754] 2 [-255:4428:1] 17424c2 [0,0,0,-1545291,739224090] 2 [2407:104714:1]
17424d (2 curves)	1	2+ 3+ 11+	2+ 3+ -2 -2 11+  2  2 -4
Curve Equation t Generators 17424d1 [0,0,0,-891,-6534] 2 [-21:54:1] 17424d2 [0,0,0,-12771,-555390] 2 [-65:10:1]
17424e (2 curves)	0	2+ 3+ 11-	2+ 3+  0 -2 11-  6  6 -2
Curve Equation t 17424e1 [0,0,0,-1815,23958] 2 17424e2 [0,0,0,-9075,-311454] 2
17424f (2 curves)	0	2+ 3+ 11-	2+ 3+  0 -2 11-  6 -6 -2
Curve Equation t 17424f1 [0,0,0,-16335,-646866] 2 17424f2 [0,0,0,-81675,8409258] 2
17424g (1 curve)	0	2+ 3- 11+	2+ 3- -1  4 11+ -4  4 -4
Curve Equation t 17424g1 [0,0,0,132,-484] 1
17424h (1 curve)	0	2+ 3- 11+	2+ 3- -1 -4 11+  4 -4  4
Curve Equation t 17424h1 [0,0,0,15972,644204] 1
17424i (2 curves)	0	2+ 3- 11+	2+ 3-  2  2 11+  4  2 -2
Curve Equation t 17424i1 [0,0,0,-759,-7018] 2 17424i2 [0,0,0,1221,-37510] 2
17424j (2 curves)	0	2+ 3- 11+	2+ 3-  2 -2 11+ -4 -2  2
Curve Equation t 17424j1 [0,0,0,-91839,9340958] 2 17424j2 [0,0,0,147741,49925810] 2
17424k (2 curves)	0	2+ 3- 11+	2+ 3- -2  2 11+  0 -6 -6
Curve Equation t 17424k1 [0,0,0,-7986,805255] 2 17424k2 [0,0,0,-187671,31243894] 2
17424l (2 curves)	0	2+ 3- 11+	2+ 3- -2 -2 11+  0  6  6
Curve Equation t 17424l1 [0,0,0,-66,-605] 2 17424l2 [0,0,0,-1551,-23474] 2
17424m (2 curves)	0	2+ 3- 11+	2+ 3-  4  4 11+  6 -6  6
Curve Equation t 17424m1 [0,0,0,-1002243,384911890] 2 17424m2 [0,0,0,-1481403,-20936630] 2
17424n (2 curves)	0	2+ 3- 11+	2+ 3-  4 -4 11+ -6  6 -6
Curve Equation t 17424n1 [0,0,0,-8283,-289190] 2 17424n2 [0,0,0,-12243,15730] 2
17424o (1 curve)	1	2+ 3- 11-	2+ 3-  0  1 11-  6 -4  1
Curve Equation t Generators 17424o1 [0,0,0,-79860,-9897316] 1 [2330635:10170927:6859]
17424p (1 curve)	1	2+ 3- 11-	2+ 3-  0 -1 11- -6  4 -1
Curve Equation t Generators 17424p1 [0,0,0,-660,7436] 1 [25:81:1]
17424q (2 curves)	1	2+ 3- 11-	2+ 3-  0  2 11-  0 -2  8
Curve Equation t Generators 17424q1 [0,0,0,-9075,-98494] 2 [-55:484:1] 17424q2 [0,0,0,34485,-769318] 2 [143:2662:1]
17424r (1 curve)	1	2+ 3- 11-	2+ 3-  1  0 11-  1  3  0
Curve Equation t Generators 17424r1 [0,0,0,2013,-12782] 1 [59:558:1]
17424s (1 curve)	1	2+ 3- 11-	2+ 3-  1  0 11- -1 -3  0
Curve Equation t Generators 17424s1 [0,0,0,243573,17012842] 1 [-7145:212994:125]
17424t (6 curves)	1	2+ 3- 11-	2+ 3-  2  0 11-  2  2 -4
Curve Equation t Generators 17424t1 [0,0,0,726,-9317] 2 [1033243:15099120:4913] 17424t2 [0,0,0,-4719,-93170] 4 [845:24480:1] 17424t3 [0,0,0,-70059,-7136822] 2 [374:4356:1] 17424t4 [0,0,0,-26499,1583890] 4 [-165:1210:1] 17424t5 [0,0,0,-418539,104219962] 2 [3399:194810:1] 17424t6 [0,0,0,17061,6279658] 2 [89:2916:1]
17424u (4 curves)	1	2+ 3- 11-	2+ 3-  2  4 11- -6  6 -8
Curve Equation t Generators 17424u1 [0,0,0,726,-206305] 2 [8503:784080:1] 17424u2 [0,0,0,-48279,-3979690] 4 [3290219:20139840:12167] 17424u3 [0,0,0,-767019,-258557398] 2 [1081:13248:1] 17424u4 [0,0,0,-113619,9101378] 2 [-4345:450846:125]
17424v (4 curves)	1	2+ 3- 11-	2+ 3- -2  0 11- -2  6  0
Curve Equation t Generators 17424v1 [0,0,0,-13431,577654] 2 [-99:968:1] 17424v2 [0,0,0,-35211,-1770230] 4 [-79:720:1] 17424v3 [0,0,0,-514371,-141972446] 2 [-3294:895:8] 17424v4 [0,0,0,95469,-11832590] 2 [143:2178:1]
17424w (1 curve)	1	2+ 3- 11-	2+ 3-  3 -2 11-  0 -6  4
Curve Equation t Generators 17424w1 [0,0,0,-4356,-143748] 1 [9845:5203:125]
17424x (1 curve)	1	2+ 3- 11-	2+ 3- -3  4 11- -3  3  4
Curve Equation t Generators 17424x1 [0,0,0,-99,594] 1 [3:18:1]
17424y (1 curve)	1	2+ 3- 11-	2+ 3- -3 -4 11-  3 -3 -4
Curve Equation t Generators 17424y1 [0,0,0,-11979,-790614] 1 [363:6534:1]
17424z (2 curves)	1	2+ 3- 11-	2+ 3- -4 -2 11-  0 -6  4
Curve Equation t Generators 17424z1 [0,0,0,-8729787,9927809210] 2 [1699:486:1] 17424z2 [0,0,0,-8686227,10031786930] 2 [583:71874:1]
17424ba (2 curves)	1	2- 3+ 11-	2- 3+  0  1 11-  2  0  1
Curve Equation t Generators 17424ba1 [0,0,0,0,-58564] 1 [82:702:1] 17424ba2 [0,0,0,0,1581228] 1 [726:19602:1]
17424bb (2 curves)	1	2- 3+ 11-	2- 3+  0 -1 11- -2  0 -1
Curve Equation t Generators 17424bb1 [0,0,0,0,44] 1 [-2:6:1] 17424bb2 [0,0,0,0,-1188] 1 [42:270:1]
17424bc (4 curves)	1	2- 3+ 11-	2- 3+  0  2 11- -2  6  2
Curve Equation t Generators 17424bc1 [0,0,0,-125235,16448498] 2 [143:1210:1] 17424bc2 [0,0,0,-1983795,1075455986] 2 [1639:47190:1] 17424bc3 [0,0,0,-1519155,-715793166] 2 [-256487:492470:343] 17424bc4 [0,0,0,-2564595,395091378] 2 [766607765:-102099569858:42875]
17424bd (4 curves)	1	2- 3+ 11-	2- 3+  0  2 11- -2 -6  2
Curve Equation t Generators 17424bd1 [0,0,0,-168795,26510858] 2 [-473:726:1] 17424bd2 [0,0,0,-284955,-14633014] 2 [-505:694:1] 17424bd3 [0,0,0,-1127115,-444109446] 2 [-3541961:-3243520:6859] 17424bd4 [0,0,0,-17854155,-29037311622] 2 [-718120658185:15058731934:294079625]
17424be (4 curves)	1	2- 3+ 11-	2- 3+  0 -4 11- -2  0  8
Curve Equation t Generators 17424be1 [0,0,0,0,1331] 2 [37:228:1] 17424be2 [0,0,0,-1815,29282] 2 [-22:242:1] 17424be3 [0,0,0,0,-35937] 2 [2071149:9121140:50653] 17424be4 [0,0,0,-16335,-790614] 2 [14322:604395:8]
17424bf (2 curves)	1	2- 3+ 11-	2- 3+  0  5 11- -2  0 -7
Curve Equation t Generators 17424bf1 [0,0,0,0,2576816] 1 [-12355:158667:125] 17424bf2 [0,0,0,0,-69574032] 1 [1803378633413595:-53500851650123037:1885941638875]
17424bg (2 curves)	1	2- 3+ 11-	2- 3+  0 -5 11-  2  0  7
Curve Equation t Generators 17424bg1 [0,0,0,0,-1936] 1 [25:117:1] 17424bg2 [0,0,0,0,52272] 1 [33:297:1]
17424bh (2 curves)	1	2- 3+ 11-	2- 3+  4 -2 11-  2  2 -6
Curve Equation t Generators 17424bh1 [0,0,0,-29403,359370] 2 [-35:1160:1] 17424bh2 [0,0,0,-290763,-60014790] 2 [-37045:44486:125]
17424bi (2 curves)	1	2- 3+ 11-	2- 3+ -4 -2 11-  2 -2 -6
Curve Equation t Generators 17424bi1 [0,0,0,-3267,-13310] 2 [-33:242:1] 17424bi2 [0,0,0,-32307,2222770] 2 [143:726:1]
17424bj (2 curves)	1	2- 3- 11+	2- 3-  0  0 11+  6  6 -6
Curve Equation t Generators 17424bj1 [0,0,0,-618915,83424418] 2 [27377:4527936:1] 17424bj2 [0,0,0,-8285475,9174431266] 2 [1697:1008:1]
17424bk (2 curves)	1	2- 3- 11+	2- 3-  0  0 11+ -6 -6  6
Curve Equation t Generators 17424bk1 [0,0,0,-5115,-62678] 2 [-51:256:1] 17424bk2 [0,0,0,-68475,-6892886] 2 [-150:58:1]
17424bl (2 curves)	1	2- 3- 11+	2- 3-  3  0 11+  0  0  0
Curve Equation t Generators 17424bl1 [0,0,0,-1056,13552] 1 [33:121:1] 17424bl2 [0,0,0,-127776,-18037712] 1 [82745460447274911:-183812129731156729:198839249316863]
17424bm (4 curves)	0	2- 3- 11-	2- 3-  0  2 11-  4 -6 -4
Curve Equation t 17424bm1 [0,0,0,-96195,-10831678] 2 17424bm2 [0,0,0,78045,-45714526] 2 17424bm3 [0,0,0,-1402995,637184306] 2 17424bm4 [0,0,0,-706035,1270442162] 2
17424bn (1 curve)	0	2- 3- 11-	2- 3-  1  2 11-  3 -7  4
Curve Equation t 17424bn1 [0,0,0,33,682] 1
17424bo (1 curve)	0	2- 3- 11-	2- 3-  1 -2 11- -3  7 -4
Curve Equation t 17424bo1 [0,0,0,3993,-907742] 1
17424bp (1 curve)	0	2- 3- 11-	2- 3-  1  4 11-  3  1  8
Curve Equation t 17424bp1 [0,0,0,25773,2420242] 1
17424bq (1 curve)	0	2- 3- 11-	2- 3-  1  4 11-  5  7  0
Curve Equation t 17424bq1 [0,0,0,-1947,36938] 1
17424br (1 curve)	0	2- 3- 11-	2- 3-  1 -4 11- -3 -1 -8
Curve Equation t 17424br1 [0,0,0,3118533,-3221342102] 1
17424bs (1 curve)	0	2- 3- 11-	2- 3-  1 -4 11- -5 -7  0
Curve Equation t 17424bs1 [0,0,0,-235587,-49164478] 1
17424bt (2 curves)	0	2- 3- 11-	2- 3- -1  2 11-  1  5 -6
Curve Equation t 17424bt1 [0,0,0,-363,-10406] 1 17424bt2 [0,0,0,-523083,145619386] 1
17424bu (2 curves)	0	2- 3- 11-	2- 3- -1 -2 11- -1 -5  6
Curve Equation t 17424bu1 [0,0,0,-4323,-109406] 1 17424bu2 [0,0,0,-43923,13850386] 1
17424bv (3 curves)	0	2- 3- 11-	2- 3- -1 -2 11- -4 -2  0
Curve Equation t 17424bv1 [0,0,0,-5808,-404624] 1 17424bv2 [0,0,0,-180048,53261296] 1 17424bv3 [0,0,0,-136261488,612220410736] 1
17424bw (4 curves)	0	2- 3- 11-	2- 3-  2  4 11-  2 -2  0
Curve Equation t 17424bw1 [0,0,0,-113619,14617042] 2 17424bw2 [0,0,0,-200739,-10874270] 4 17424bw3 [0,0,0,-2552979,-1568527598] 2 17424bw4 [0,0,0,757581,-84664910] 2
17424bx (2 curves)	0	2- 3- 11-	2- 3- -2  2 11- -6 -4 -2
Curve Equation t 17424bx1 [0,0,0,-84216,-10934165] 2 17424bx2 [0,0,0,-1407351,-642598814] 2
17424by (2 curves)	0	2- 3- 11-	2- 3- -2 -2 11-  2  4 -6
Curve Equation t 17424by1 [0,0,0,2904,33275] 2 17424by2 [0,0,0,-13431,284834] 2
17424bz (4 curves)	0	2- 3- 11-	2- 3- -2 -4 11-  6  2  4
Curve Equation t 17424bz1 [0,0,0,-35211,-45254] 2 17424bz2 [0,0,0,-383691,91186810] 4 17424bz3 [0,0,0,-6133611,5846856730] 4 17424bz4 [0,0,0,-209451,174368986] 2
17424ca (2 curves)	0	2- 3- 11-	2- 3-  3  2 11-  4  6  8
Curve Equation t 17424ca1 [0,0,0,2904,69212] 1 17424ca2 [0,0,0,-84216,9460748] 1
17424cb (2 curves)	0	2- 3- 11-	2- 3-  3  2 11- -5  3  2
Curve Equation t 17424cb1 [0,0,0,429,1298] 1 17424cb2 [0,0,0,-7491,256322] 1
17424cc (2 curves)	0	2- 3- 11-	2- 3-  3 -2 11-  5 -3 -2
Curve Equation t 17424cc1 [0,0,0,51909,-1727638] 1 17424cc2 [0,0,0,-906411,-341164582] 1
17424cd (2 curves)	0	2- 3- 11-	2- 3- -3  2 11- -5 -3 -4
Curve Equation t 17424cd1 [0,0,0,-570999,189073874] 1 17424cd2 [0,0,0,-48007839,128031357674] 1
17424ce (2 curves)	0	2- 3- 11-	2- 3- -3 -2 11-  5  3  4
Curve Equation t 17424ce1 [0,0,0,-4719,-142054] 1 17424ce2 [0,0,0,-396759,-96191854] 1
17424cf (4 curves)	0	2- 3- 11-	2- 3-  4 -2 11- -4 -2  0
Curve Equation t 17424cf1 [0,0,0,-784443,-194924950] 2 17424cf2 [0,0,0,2003397,-1268243350] 2 17424cf3 [0,0,0,-175372923,893906135210] 2 17424cf4 [0,0,0,-175198683,895771025930] 2
17424cg (1 curve)	0	2- 3- 11-	2- 3-  4  5 11- -2 -4 -3
Curve Equation t 17424cg1 [0,0,0,-223608,40701980] 1
17424ch (1 curve)	0	2- 3- 11-	2- 3-  4 -5 11-  2  4  3
Curve Equation t 17424ch1 [0,0,0,-1848,-30580] 1
17424ci (1 curve)	0	2- 3- 11-	2- 3- -4  1 11-  2  4 -3
Curve Equation t 17424ci1 [0,0,0,528,880] 1
17424cj (1 curve)	0	2- 3- 11-	2- 3- -4 -1 11- -2 -4  3
Curve Equation t 17424cj1 [0,0,0,63888,-1171280] 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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