Cremona's table of elliptic curves

69090 = 2 · 3 · 5 · 7² · 47

Class	r	Atkin-Lehner	Eigenvalues
69090a (4 curves)	0	2+ 3+ 5+ 7- 47+	2+ 3+ 5+ 7-  4 -2  2  0
Curve Equation t 69090a1 [1,1,0,-384283,-83746403] 2 69090a2 [1,1,0,-1387803,536228253] 4 69090a3 [1,1,0,2453797,2981790813] 2 69090a4 [1,1,0,-21285723,37789114077] 2
69090b (1 curve)	0	2+ 3+ 5+ 7- 47+	2+ 3+ 5+ 7-  4 -2 -7  0
Curve Equation t 69090b1 [1,1,0,-75898,-8079812] 1
69090c (1 curve)	0	2+ 3+ 5+ 7- 47+	2+ 3+ 5+ 7- -4 -1  0  4
Curve Equation t 69090c1 [1,1,0,-44360068,118739826472] 1
69090d (1 curve)	2	2+ 3+ 5+ 7- 47+	2+ 3+ 5+ 7- -4 -1 -4  1
Curve Equation t Generators 69090d1 [1,1,0,-2643,51213] 1 [29:-12:1]&[-7:267:1]
69090e (2 curves)	2	2+ 3+ 5+ 7- 47+	2+ 3+ 5+ 7- -4  2  2 -2
Curve Equation t Generators 69090e1 [1,1,0,-858,-72288] 2 [111:-1158:1]&[62:312:1] 69090e2 [1,1,0,-31728,-2177622] 2 [-109:78:1]&[-99:123:1]
69090f (2 curves)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7-  0  1  0  7
Curve Equation t Generators 69090f1 [1,1,0,-613,-4283] 1 [71:527:1] 69090f2 [1,1,0,-18988,998992] 1 [101:302:1]
69090g (2 curves)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7-  0 -5 -6  4
Curve Equation t Generators 69090g1 [1,1,0,13352,354208] 1 [27:844:1] 69090g2 [1,1,0,-269623,54669973] 1 [321:991:1]
69090h (4 curves)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7-  4  2 -2 -4
Curve Equation t Generators 69090h1 [1,1,0,857,-296267] 2 [287:4724:1] 69090h2 [1,1,0,-61863,-5803083] 4 [-137:421:1] 69090h3 [1,1,0,-144183,12784773] 2 [-253:5884:1] 69090h4 [1,1,0,-983063,-375572763] 2 [-15459:8012:27]
69090i (1 curve)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7- -6 -1 -3 -3
Curve Equation t Generators 69090i1 [1,1,0,-6003,-1199043] 1 [134:585:1]
69090j (2 curves)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7-  0  2  6  0
Curve Equation t Generators 69090j1 [1,1,0,-24917,-1476579] 2 [-98:239:1] 69090j2 [1,1,0,9383,-5187839] 2 [245:3326:1]
69090k (4 curves)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7-  0 -2 -6 -2
Curve Equation t Generators 69090k1 [1,1,0,1982858,-151143404] 2 [1476:76682:1] 69090k2 [1,1,0,-8019022,-1225345316] 2 [-1247:83311:1] 69090k3 [1,1,0,-25065877,53213399149] 2 [-2262:314731:1] 69090k4 [1,1,0,-412299157,3222098222701] 2 [11647:7039:1]
69090l (2 curves)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7-  2  0  2  6
Curve Equation t Generators 69090l1 [1,1,0,-109932,-14593536] 2 [85812:2993379:64] 69090l2 [1,1,0,-1776912,-912428964] 2 [2932:136714:1]
69090m (4 curves)	0	2+ 3+ 5- 7- 47-	2+ 3+ 5- 7- -4 -2  2 -4
Curve Equation t 69090m1 [1,1,0,-7717182,-14064266124] 2 69090m2 [1,1,0,-146265662,-680676422796] 4 69090m3 [1,1,0,-169295662,-452039188796] 2 69090m4 [1,1,0,-2340011342,-43569720714204] 2
69090n (4 curves)	0	2+ 3+ 5- 7- 47-	2+ 3+ 5- 7- -4  6 -6  4
Curve Equation t 69090n1 [1,1,0,-8905677,11523182301] 2 69090n2 [1,1,0,-147454157,689108378589] 4 69090n3 [1,1,0,-152428637,640116714861] 2 69090n4 [1,1,0,-2359255357,44106323574349] 2
69090o (2 curves)	0	2+ 3+ 5- 7- 47-	2+ 3+ 5- 7-  6  2 -2  4
Curve Equation t 69090o1 [1,1,0,61568,4197376] 2 69090o2 [1,1,0,-306912,36844704] 2
69090p (1 curve)	1	2+ 3- 5+ 7- 47+	2+ 3- 5+ 7-  0 -1 -6 -8
Curve Equation t Generators 69090p1 [1,0,1,-124,1712] 1 [18:64:1]
69090q (2 curves)	1	2+ 3- 5+ 7- 47+	2+ 3- 5+ 7-  0  6 -6  6
Curve Equation t Generators 69090q1 [1,0,1,-1536287569,-23177171340508] 2 [664598:164112187:8] 69090q2 [1,0,1,-24580619089,-1483330540575964] 2 [562387322:-125663440883:2744]
69090r (1 curve)	1	2+ 3- 5+ 7- 47+	2+ 3- 5+ 7- -2 -1 -3  7
Curve Equation t Generators 69090r1 [1,0,1,366,-20828] 1 [29:105:1]
69090s (2 curves)	2	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7-  0 -2 -6  0
Curve Equation t Generators 69090s1 [1,0,1,-509,4232] 2 [-24:64:1]&[-9:94:1] 69090s2 [1,0,1,191,15152] 2 [13:-148:1]&[-17:92:1]
69090t (2 curves)	2	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7- -2  0 -6 -4
Curve Equation t Generators 69090t1 [1,0,1,-6739,347162] 2 [46:-391:1]&[-682:4747:8] 69090t2 [1,0,1,-125809,17159846] 2 [-374:3641:1]&[-92:5333:1]
69090u (2 curves)	2	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7- -2 -6  0 -4
Curve Equation t Generators 69090u1 [1,0,1,-1249379,-528874594] 2 [6591:-530144:1]&[-5106:26069:8] 69090u2 [1,0,1,5021,-1541928034] 2 [1471:39872:1]&[1894:71597:1]
69090v (1 curve)	0	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7- -4 -1 -2  8
Curve Equation t 69090v1 [1,0,1,-1017119,-396029518] 1
69090w (2 curves)	1	2+ 3- 5- 7+ 47+	2+ 3- 5- 7+  0 -1  0 -7
Curve Equation t Generators 69090w1 [1,0,1,-30063,1378906] 3 [-850:15121:8] 69090w2 [1,0,1,-930438,-345445544] 1 [-4402:2497:8]
69090x (1 curve)	0	2+ 3- 5- 7+ 47-	2+ 3- 5- 7+  4  2  7  0
Curve Equation t 69090x1 [1,0,1,-3719028,2760218458] 1
69090y (1 curve)	0	2+ 3- 5- 7+ 47-	2+ 3- 5- 7+ -4  1  4 -1
Curve Equation t 69090y1 [1,0,1,-129533,-17954632] 1
69090z (2 curves)	1	2+ 3- 5- 7- 47-	2+ 3- 5- 7-  2 -4  2  0
Curve Equation t Generators 69090z1 [1,0,1,807,-10244] 2 [32:204:1] 69090z2 [1,0,1,-5073,-101972] 2 [88:323:1]
69090ba (1 curve)	1	2+ 3- 5- 7- 47-	2+ 3- 5- 7-  2  5 -7 -3
Curve Equation t Generators 69090ba1 [1,0,1,-20519903,35784570098] 1 [2199:34900:1]
69090bb (1 curve)	1	2+ 3- 5- 7- 47-	2+ 3- 5- 7- -4  1  0 -4
Curve Equation t Generators 69090bb1 [1,0,1,-905308,-346309582] 1 [2524:-117235:1]
69090bc (1 curve)	0	2- 3+ 5+ 7+ 47+	2- 3+ 5+ 7+  0 -3 -4  7
Curve Equation t 69090bc1 [1,1,1,-106331,-13382881] 1
69090bd (1 curve)	1	2- 3+ 5+ 7- 47+	2- 3+ 5+ 7-  0 -3 -4  0
Curve Equation t Generators 69090bd1 [1,1,1,139,923] 1 [-1:28:1]
69090be (1 curve)	1	2- 3+ 5+ 7- 47+	2- 3+ 5+ 7-  2  5 -2 -7
Curve Equation t Generators 69090be1 [1,1,1,-55309976,158291779673] 1 [4621:35189:1]
69090bf (2 curves)	1	2- 3+ 5+ 7- 47+	2- 3+ 5+ 7- -2  4  2  6
Curve Equation t Generators 69090bf1 [1,1,1,-167581,-43286797] 2 [601:8274:1] 69090bf2 [1,1,1,-3131101,-2133161101] 2 [-1019:1308:1]
69090bg (4 curves)	2	2- 3+ 5+ 7- 47-	2- 3+ 5+ 7-  0 -6 -6 -4
Curve Equation t Generators 69090bg1 [1,1,1,-9556,12053] 2 [153:-1547:1]&[-91:417:1] 69090bg2 [1,1,1,-107556,13496853] 4 [279:-2443:1]&[-309:4319:1] 69090bg3 [1,1,1,-63456,24715893] 2 [-25255:-664517:125]&[-291:4463:1] 69090bg4 [1,1,1,-1719656,867265013] 2 [769:203:1]&[4297:267743:1]
69090bh (1 curve)	2	2- 3+ 5+ 7- 47-	2- 3+ 5+ 7- -6  3 -6 -1
Curve Equation t Generators 69090bh1 [1,1,1,-899781,-206422581] 1 [-777:5324:1]&[-531:11310:1]
69090bi (1 curve)	1	2- 3+ 5- 7+ 47+	2- 3+ 5- 7+  0 -3  4 -5
Curve Equation t Generators 69090bi1 [1,1,1,-109790920,-442022882743] 1 [-6203:22701:1]
69090bj (1 curve)	0	2- 3+ 5- 7+ 47-	2- 3+ 5- 7+  4 -6 -3 -4
Curve Equation t 69090bj1 [1,1,1,1665,114855] 1
69090bk (1 curve)	0	2- 3+ 5- 7- 47+	2- 3+ 5- 7- -6  5  6  5
Curve Equation t 69090bk1 [1,1,1,-564285,-152477613] 1
69090bl (1 curve)	1	2- 3+ 5- 7- 47-	2- 3+ 5- 7- -4 -1  0  4
Curve Equation t Generators 69090bl1 [1,1,1,-8625,4311117] 1 [846:16723:8]
69090bm (4 curves)	1	2- 3+ 5- 7- 47-	2- 3+ 5- 7- -4  2 -2 -4
Curve Equation t Generators 69090bm1 [1,1,1,1175,4989767] 2 [-43:2226:1] 69090bm2 [1,1,1,-431005,106811375] 4 [43:9378:1] 69090bm3 [1,1,1,-914635,-177369613] 2 [-1714:24603:8] 69090bm4 [1,1,1,-6862255,6916218875] 2 [12494:20699:8]
69090bn (1 curve)	2	2- 3- 5+ 7+ 47-	2- 3- 5+ 7+ -6 -5 -6 -5
Curve Equation t Generators 69090bn1 [1,0,0,-11516,442896] 1 [256:3652:1]&[-104:772:1]
69090bo (2 curves)	0	2- 3- 5+ 7- 47+	2- 3- 5+ 7- -2 -2  0  8
Curve Equation t 69090bo1 [1,0,0,-2696,-51024] 2 69090bo2 [1,0,0,2204,-214684] 2
69090bp (2 curves)	0	2- 3- 5+ 7- 47+	2- 3- 5+ 7- -2  4  6 -4
Curve Equation t 69090bp1 [1,0,0,13824614,7858287716] 2 69090bp2 [1,0,0,-59934106,65257323620] 2
69090bq (6 curves)	0	2- 3- 5+ 7- 47+	2- 3- 5+ 7-  4  2 -2  4
Curve Equation t 69090bq1 [1,0,0,14838179,-94296838735] 4 69090bq2 [1,0,0,-242062941,-1349567091279] 4 69090bq3 [1,0,0,-796256861,7065424228785] 4 69090bq4 [1,0,0,-3798286941,-90100826969679] 2 69090bq5 [1,0,0,1621340419,41623043268561] 2 69090bq6 [1,0,0,-12080956861,511069466448785] 2
69090br (1 curve)	0	2- 3- 5+ 7- 47+	2- 3- 5+ 7-  4  6  3  4
Curve Equation t 69090br1 [1,0,0,34,-330] 1
69090bs (1 curve)	0	2- 3- 5+ 7- 47+	2- 3- 5+ 7- -4  1  0 -4
Curve Equation t 69090bs1 [1,0,0,-176,-12594] 1
69090bt (1 curve)	1	2- 3- 5+ 7- 47-	2- 3- 5+ 7-  0  3 -4  5
Curve Equation t Generators 69090bt1 [1,0,0,-2240631,1288376361] 1 [1686:47157:1]
69090bu (1 curve)	0	2- 3- 5- 7+ 47+	2- 3- 5- 7+ -6 -3  6  1
Curve Equation t 69090bu1 [1,0,0,-44089270,70670677412] 1
69090bv (1 curve)	1	2- 3- 5- 7+ 47-	2- 3- 5- 7+  2 -5  2  7
Curve Equation t Generators 69090bv1 [1,0,0,-2710188825,-54302210994375] 1 [-30150:71475:1]
69090bw (2 curves)	1	2- 3- 5- 7- 47+	2- 3- 5- 7- -2  4 -2  4
Curve Equation t Generators 69090bw1 [1,0,0,15875,2320625] 2 [410:8615:1] 69090bw2 [1,0,0,-195805,30135377] 2 [494:-7597:1]
69090bx (1 curve)	0	2- 3- 5- 7- 47-	2- 3- 5- 7-  0  3  4  0
Curve Equation t 69090bx1 [1,0,0,6810,-296220] 1
69090by (1 curve)	0	2- 3- 5- 7- 47-	2- 3- 5- 7-  0  3  4 -7
Curve Equation t 69090by1 [1,0,0,-5210220,4574697462] 1
69090bz (4 curves)	0	2- 3- 5- 7- 47-	2- 3- 5- 7-  0  6 -2  4
Curve Equation t 69090bz1 [1,0,0,-2010,-1331100] 2 69090bz2 [1,0,0,-194090,-32563308] 4 69090bz3 [1,0,0,-365590,33669992] 4 69090bz4 [1,0,0,-3095870,-2096889600] 2
69090ca (4 curves)	0	2- 3- 5- 7- 47-	2- 3- 5- 7-  0  6 -2  8
Curve Equation t 69090ca1 [1,0,0,1003371725,-48711249050143] 2 69090ca2 [1,0,0,-15438299955,-683974694418975] 4 69090ca3 [1,0,0,-52016603955,3775864283424225] 2 69090ca4 [1,0,0,-241926742835,-45800608409180703] 2
69090cb (2 curves)	0	2- 3- 5- 7- 47-	2- 3- 5- 7-  2  2  2  0
Curve Equation t 69090cb1 [1,0,0,-393030,94818660] 2 69090cb2 [1,0,0,-6288710,6069500772] 2
69090cc (2 curves)	0	2- 3- 5- 7- 47-	2- 3- 5- 7-  2  2 -4  0
Curve Equation t 69090cc1 [1,0,0,-142885,-20703103] 2 69090cc2 [1,0,0,-64485,-43297983] 2
69090cd (1 curve)	0	2- 3- 5- 7- 47-	2- 3- 5- 7-  2 -5 -5  7
Curve Equation t 69090cd1 [1,0,0,-2293005,-1629218655] 1
69090ce (4 curves)	0	2- 3- 5- 7- 47-	2- 3- 5- 7- -4 -2 -2 -8
Curve Equation t 69090ce1 [1,0,0,-785,8217] 2 69090ce2 [1,0,0,-1765,-16675] 4 69090ce3 [1,0,0,5585,-118105] 2 69090ce4 [1,0,0,-24795,-1504413] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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