Cremona's table of elliptic curves

100450 = 2 · 5² · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
100450a (1 curve)	1	2+ 5+ 7+ 41+	2+  0 5+ 7+ -2 -5 -8  0
Curve Equation t Generators 100450a1 [1,-1,0,154243,280342341] 1 [6354082:310290441:2744]
100450b (2 curves)	1	2+ 5+ 7+ 41+	2+  2 5+ 7+  0  1  0 -4
Curve Equation t Generators 100450b1 [1,1,0,75925,-51647875] 1 [1907741653563079557466785490137547:118784669157724477566463764061820356:486403540784862658496092527247] 100450b2 [1,1,0,-8499075,-9544172875] 1 [20416840413819082687208469865329915414854642508096430248660508454055350318701855376456618082289208773733:922210379154699188927561595646856563553436572042775251282241884974310949233857199539936586321357649275084:4571616821523322508974476260580920369211166277970099793362472012455785838322201003956313162997767033]
100450c (1 curve)	0	2+ 5+ 7+ 41-	2+  2 5+ 7+  0 -3 -4 -6
Curve Equation t 100450c1 [1,1,0,41625,59375] 1
100450d (1 curve)	0	2+ 5+ 7+ 41-	2+ -2 5+ 7+ -4 -1  0 -6
Curve Equation t 100450d1 [1,0,1,15899,-4111152] 1
100450e (4 curves)	0	2+ 5+ 7- 41+	2+  0 5+ 7-  0 -2  2  0
Curve Equation t 100450e1 [1,-1,0,-1698692,808507216] 2 100450e2 [1,-1,0,-26786692,53367867216] 4 100450e3 [1,-1,0,-26394692,55005251216] 2 100450e4 [1,-1,0,-428586692,3415228467216] 2
100450f (1 curve)	0	2+ 5+ 7- 41+	2+  0 5+ 7-  6  1 -4 -6
Curve Equation t 100450f1 [1,-1,0,-107,1581] 1
100450g (1 curve)	0	2+ 5+ 7- 41+	2+  1 5+ 7-  0 -3 -2  1
Curve Equation t 100450g1 [1,0,1,2464530924,199730107073298] 1
100450h (1 curve)	0	2+ 5+ 7- 41+	2+  1 5+ 7-  4 -2  7  4
Curve Equation t 100450h1 [1,0,1,-551,4498] 1
100450i (1 curve)	2	2+ 5+ 7- 41+	2+  1 5+ 7- -4 -3  6 -7
Curve Equation t Generators 100450i1 [1,0,1,219,19548] 1 [18:-181:1]&[33:234:1]
100450j (2 curves)	0	2+ 5+ 7- 41+	2+ -1 5+ 7-  2  4  3  0
Curve Equation t 100450j1 [1,1,0,-214400,-37052000] 1 100450j2 [1,1,0,-19336650,32719876750] 1
100450k (1 curve)	0	2+ 5+ 7- 41+	2+ -1 5+ 7- -6 -4  7  0
Curve Equation t 100450k1 [1,1,0,-25750,-179500] 1
100450l (1 curve)	0	2+ 5+ 7- 41+	2+  2 5+ 7- -4  1  0  6
Curve Equation t 100450l1 [1,1,0,325,12125] 1
100450m (1 curve)	0	2+ 5+ 7- 41+	2+ -2 5+ 7-  0  3  4  6
Curve Equation t 100450m1 [1,0,1,849,-52] 1
100450n (2 curves)	2	2+ 5+ 7- 41+	2+ -2 5+ 7-  2 -6 -6  2
Curve Equation t Generators 100450n1 [1,0,1,-19626,-58852] 2 [-906:7211:8]&[-83:1041:1] 100450n2 [1,0,1,78374,-450852] 2 [57:2021:1]&[162:3981:1]
100450o (1 curve)	1	2+ 5+ 7- 41-	2+  0 5+ 7- -2  5  8  0
Curve Equation t Generators 100450o1 [1,-1,0,3148,-818224] 1 [2503:123983:1]
100450p (2 curves)	1	2+ 5+ 7- 41-	2+  0 5+ 7- -2 -6 -6 -4
Curve Equation t Generators 100450p1 [1,-1,0,4058,-262284] 2 [93:909:1] 100450p2 [1,-1,0,-44942,-3251284] 2 [-131:678:1]
100450q (1 curve)	1	2+ 5+ 7- 41-	2+ -1 5+ 7-  0  3  2 -1
Curve Equation t Generators 100450q1 [1,1,0,50296550,-582281963500] 1 [81035432035157273819860:83525023159607182144922262:76206149078157125]
100450r (1 curve)	1	2+ 5+ 7- 41-	2+ -1 5+ 7-  4  2 -7 -4
Curve Equation t Generators 100450r1 [1,1,0,-26975,-1569875] 1 [-9995:41184:125]
100450s (2 curves)	1	2+ 5+ 7- 41-	2+ -2 5+ 7-  0 -1  0  4
Curve Equation t Generators 100450s1 [1,0,1,1549,150798] 1 [-106:2911:8] 100450s2 [1,0,1,-173451,27800798] 1 [246:61:1]
100450t (1 curve)	1	2+ 5+ 7- 41-	2+  3 5+ 7-  4 -1  2  3
Curve Equation t Generators 100450t1 [1,-1,0,55508,27486416] 1 [-7910760:80733668:35937]
100450u (2 curves)	1	2+ 5+ 7- 41-	2+ -3 5+ 7- -2  0 -3  8
Curve Equation t Generators 100450u1 [1,-1,0,-23707042,-40891467884] 1 [-63717785:1413133784:24389] 100450u2 [1,-1,0,-11773858042,491732492081116] 1 [62603:-12216:1]
100450v (1 curve)	0	2+ 5- 7+ 41+	2+  0 5- 7+  0 -6  6  4
Curve Equation t 100450v1 [1,-1,0,-66992,6722666] 1
100450w (1 curve)	1	2+ 5- 7- 41+	2+  1 5- 7- -6  3  2 -1
Curve Equation t Generators 100450w1 [1,0,1,-35551,-2584802] 1 [701:17456:1]
100450x (2 curves)	1	2+ 5- 7- 41+	2+ -1 5- 7-  2 -1 -2  5
Curve Equation t Generators 100450x1 [1,1,0,-471650,133041700] 1 [524:5226:1] 100450x2 [1,1,0,884425,-8761152875] 1 [6674607136086:2641563867521365:42508549]
100450y (1 curve)	1	2+ 5- 7- 41+	2+ -1 5- 7-  4  5  2  1
Curve Equation t Generators 100450y1 [1,1,0,-6325,222125] 1 [10:395:1]
100450z (1 curve)	1	2+ 5- 7- 41+	2+  3 5- 7- -2 -1  6  1
Curve Equation t Generators 100450z1 [1,-1,0,-36367,3874541] 1 [21306:572251:27]
100450ba (1 curve)	0	2+ 5- 7- 41-	2+  0 5- 7-  0  6 -6 -4
Curve Equation t 100450ba1 [1,-1,0,-1367,-19209] 1
100450bb (1 curve)	0	2+ 5- 7- 41-	2+  1 5- 7-  4 -5 -2 -1
Curve Equation t 100450bb1 [1,0,1,-309951,-77118702] 1
100450bc (2 curves)	2	2+ 5- 7- 41-	2+ -1 5- 7-  0 -5 -6  1
Curve Equation t Generators 100450bc1 [1,1,0,3650,-47200] 1 [14:76:1]&[34:326:1] 100450bc2 [1,1,0,-39225,3751525] 1 [-230:935:1]&[426:7823:1]
100450bd (1 curve)	2	2+ 5- 7- 41-	2+ -1 5- 7- -6 -3 -2  1
Curve Equation t Generators 100450bd1 [1,1,0,-725,7225] 1 [20:-45:1]&[-15:130:1]
100450be (1 curve)	0	2- 5+ 7+ 41+	2-  0 5+ 7+  0  6 -6  4
Curve Equation t 100450be1 [1,-1,1,-2680,54317] 1
100450bf (1 curve)	0	2- 5+ 7+ 41+	2-  1 5+ 7+  1  2  0  3
Curve Equation t 100450bf1 [1,0,0,3037,-173083] 1
100450bg (1 curve)	0	2- 5+ 7+ 41+	2-  3 5+ 7+ -5 -6  0  1
Curve Equation t 100450bg1 [1,-1,1,-5130,143497] 1
100450bh (2 curves)	1	2- 5+ 7- 41+	2-  0 5+ 7- -6 -2  8  6
Curve Equation t Generators 100450bh1 [1,-1,1,-17380,-701753] 2 [-101:175:1] 100450bh2 [1,-1,1,-262380,-51661753] 2 [-297:175:1]
100450bi (2 curves)	1	2- 5+ 7- 41+	2-  1 5+ 7-  0  2 -3  4
Curve Equation t Generators 100450bi1 [1,0,0,-97413,-8449183] 1 [-122:1335:1] 100450bi2 [1,0,0,-2859788,1860674192] 1 [536:21684:1]
100450bj (2 curves)	1	2- 5+ 7- 41+	2-  1 5+ 7-  2  1  2  5
Curve Equation t Generators 100450bj1 [1,0,0,35377,-70089223] 1 [22242:-625777:27] 100450bj2 [1,0,0,-11791263,16653795017] 1 [46056:1024249:27]
100450bk (1 curve)	1	2- 5+ 7- 41+	2-  1 5+ 7-  4 -5 -2  1
Curve Equation t Generators 100450bk1 [1,0,0,-253,1777] 1 [18:47:1]
100450bl (1 curve)	1	2- 5+ 7- 41+	2- -1 5+ 7- -6 -3 -2 -1
Curve Equation t Generators 100450bl1 [1,1,1,-888763,-323100219] 1 [437351748266:8972871514733:334255384]
100450bm (4 curves)	1	2- 5+ 7- 41+	2- -2 5+ 7-  0  2  0  4
Curve Equation t Generators 100450bm1 [1,0,0,-86170813,-307892050383] 2 [-400023968858:194338271979:74618461] 100450bm2 [1,0,0,-85925813,-309729795383] 2 [10342176613920864:-400617480581295457:907882814987] 100450bm3 [1,0,0,-96969188,-225859809008] 2 [-3468:263884:1] 100450bm4 [1,0,0,295030812,-1591195809008] 2 [76532:21623884:1]
100450bn (2 curves)	1	2- 5+ 7- 41+	2- -2 5+ 7- -4 -2 -4  8
Curve Equation t Generators 100450bn1 [1,0,0,-47188,-3839508] 2 [1692:68154:1] 100450bn2 [1,0,0,14062,-13088258] 2 [364002:14778349:216]
100450bo (1 curve)	1	2- 5+ 7- 41+	2- -3 5+ 7- -2  1 -6  1
Curve Equation t Generators 100450bo1 [1,-1,1,-1455,31287] 1 [-5:198:1]
100450bp (1 curve)	0	2- 5+ 7- 41-	2-  0 5+ 7-  0 -6  6 -4
Curve Equation t 100450bp1 [1,-1,1,-55,-143] 1
100450bq (2 curves)	0	2- 5+ 7- 41-	2-  0 5+ 7-  6  0  0  2
Curve Equation t 100450bq1 [1,-1,1,-43105,2916897] 2 100450bq2 [1,-1,1,79395,16391897] 2
100450br (2 curves)	0	2- 5+ 7- 41-	2-  1 5+ 7-  0  5  6  1
Curve Equation t 100450br1 [1,0,0,91237,-6082483] 1 100450br2 [1,0,0,-980638,470901892] 1
100450bs (1 curve)	0	2- 5+ 7- 41-	2-  1 5+ 7- -6  3  2  1
Curve Equation t 100450bs1 [1,0,0,-18138,939392] 1
100450bt (1 curve)	0	2- 5+ 7- 41-	2- -1 5+ 7-  0  2 -5  4
Curve Equation t 100450bt1 [1,1,1,-3088,42531] 1
100450bu (1 curve)	0	2- 5+ 7- 41-	2- -1 5+ 7-  1 -2  0 -3
Curve Equation t 100450bu1 [1,1,1,62,531] 1
100450bv (1 curve)	0	2- 5+ 7- 41-	2- -1 5+ 7-  4  5  2 -1
Curve Equation t 100450bv1 [1,1,1,-12398,-621909] 1
100450bw (2 curves)	0	2- 5+ 7- 41-	2-  2 5+ 7- -2  4  6  6
Curve Equation t 100450bw1 [1,1,1,-103538,-4979969] 2 100450bw2 [1,1,1,-887538,318028031] 2
100450bx (2 curves)	0	2- 5+ 7- 41-	2-  2 5+ 7- -6 -4 -2 -2
Curve Equation t 100450bx1 [1,1,1,-2525363,-1545576719] 2 100450bx2 [1,1,1,-2721363,-1291952719] 2
100450by (4 curves)	2	2- 5+ 7- 41-	2- -2 5+ 7-  0 -4  0 -8
Curve Equation t Generators 100450by1 [1,0,0,-205213,-35183583] 2 [-288:369:1]&[-262:915:1] 100450by2 [1,0,0,-3267713,-2273871083] 2 [-8346:4195:8]&[2262:42569:1] 100450by3 [1,0,0,-1889588,984475792] 2 [-1578:6914:1]&[-1128:41564:1] 100450by4 [1,0,0,-3849588,-1408684208] 2 [-1738:6594:1]&[-1324:37644:1]
100450bz (2 curves)	0	2- 5+ 7- 41-	2- -2 5+ 7- -2  4 -2 -6
Curve Equation t 100450bz1 [1,0,0,-1863,-16283] 2 100450bz2 [1,0,0,-14113,632967] 2
100450ca (2 curves)	0	2- 5+ 7- 41-	2- -2 5+ 7-  4  4 -2  6
Curve Equation t 100450ca1 [1,0,0,-38806188,-225410577008] 2 100450ca2 [1,0,0,-841622188,-9387949585008] 2
100450cb (4 curves)	0	2- 5+ 7- 41-	2- -2 5+ 7-  6 -4 -6 -2
Curve Equation t 100450cb1 [1,0,0,-123122938,-525853783008] 2 100450cb2 [1,0,0,-123429188,-523106414258] 2 100450cb3 [1,0,0,-137228813,-397898190383] 2 100450cb4 [1,0,0,-902853813,10147054934617] 2
100450cc (1 curve)	0	2- 5+ 7- 41-	2-  3 5+ 7-  4 -6  3 -4
Curve Equation t 100450cc1 [1,-1,1,-49230,4215397] 1
100450cd (1 curve)	0	2- 5+ 7- 41-	2- -3 5+ 7- -5  6  0 -1
Curve Equation t 100450cd1 [1,-1,1,-251355,-48716853] 1
100450ce (1 curve)	1	2- 5- 7+ 41+	2-  0 5- 7+ -2  5  8  0
Curve Equation t Generators 100450ce1 [1,-1,1,3856070,35046648697] 1 [4153:348175:1]
100450cf (2 curves)	1	2- 5- 7+ 41+	2- -2 5- 7+  0 -1  0 -4
Curve Equation t Generators 100450cf1 [1,0,0,3037,-413183] 3 [62:89:1] 100450cf2 [1,0,0,-339963,-76353383] 1 [748:9007:1]
100450cg (1 curve)	0	2- 5- 7- 41+	2-  0 5- 7-  6 -1  4 -6
Curve Equation t 100450cg1 [1,-1,1,-2680,194947] 1
100450ch (1 curve)	0	2- 5- 7- 41+	2- -1 5- 7-  0  3  2  1
Curve Equation t 100450ch1 [1,1,1,98581237,1597880289081] 1
100450ci (1 curve)	0	2- 5- 7- 41+	2- -1 5- 7- -4  3 -6 -7
Curve Equation t 100450ci1 [1,1,1,5487,2443531] 1
100450cj (1 curve)	1	2- 5- 7- 41-	2-  0 5- 7- -2 -5 -8  0
Curve Equation t Generators 100450cj1 [1,-1,1,78695,-102199303] 1 [419:1840:1]
100450ck (1 curve)	1	2- 5- 7- 41-	2-  1 5- 7-  0 -3 -2 -1
Curve Equation t Generators 100450ck1 [1,0,0,2011862,-4658255708] 1 [9972:998534:1]
100450cl (2 curves)	1	2- 5- 7- 41-	2-  2 5- 7-  0  1  0  4
Curve Equation t Generators 100450cl1 [1,1,1,62,1231] 1 [1:35:1] 100450cl2 [1,1,1,-6938,219631] 1 [-25:627:1]
100450cm (1 curve)	1	2- 5- 7- 41-	2- -3 5- 7-  4  1 -2  3
Curve Equation t Generators 100450cm1 [1,-1,1,2220,219447] 1 [149:1885:1]

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