Cremona's table of elliptic curves

28665 = 3² · 5 · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
28665a (1 curve)	0	3+ 5+ 7+ 13-	1 3+ 5+ 7+ -3 13-  3 -6
Curve Equation t 28665a1 [1,-1,0,-450,-5965] 1
28665b (1 curve)	0	3+ 5+ 7+ 13-	-2 3+ 5+ 7+ -4 13-  7  2
Curve Equation t 28665b1 [0,0,1,-48363,-4095506] 1
28665c (2 curves)	0	3+ 5+ 7- 13+	0 3+ 5+ 7- -3 13+  3  4
Curve Equation t 28665c1 [0,0,1,-2058,-36101] 1 28665c2 [0,0,1,5292,-192166] 1
28665d (2 curves)	2	3+ 5+ 7- 13+	-1 3+ 5+ 7- -2 13+ -8 -8
Curve Equation t Generators 28665d1 [1,-1,1,-6698,114832] 2 [100:611:1]&[-40:583:1] 28665d2 [1,-1,1,-92693,10881406] 2 [-250:4412:1]&[-152:4706:1]
28665e (1 curve)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7-  3 13+  3  6
Curve Equation t 28665e1 [1,-1,1,-83,-458] 1
28665f (2 curves)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7- -6 13+  0  0
Curve Equation t 28665f1 [1,-1,1,-608663,182871406] 2 28665f2 [1,-1,1,-694658,127903402] 2
28665g (1 curve)	0	3+ 5+ 7- 13+	2 3+ 5+ 7-  4 13+  7 -2
Curve Equation t 28665g1 [0,0,1,-8883,-322387] 1
28665h (2 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7-  4 13- -4 -6
Curve Equation t Generators 28665h1 [1,-1,0,-1185,17800] 2 [-26:1189:8] 28665h2 [1,-1,0,-19560,1057825] 2 [80:-25:1]
28665i (2 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7- -6 13- -4  4
Curve Equation t Generators 28665i1 [1,-1,0,-57911100,-169610897989] 2 [-190667432576794536933816456150:97639430438858983571311119263:43394581059334341309197577] 28665i2 [1,-1,0,-57997095,-169081839550] 2 [-94393048256534:-211034170743434:22737343537]
28665j (1 curve)	1	3+ 5- 7+ 13-	-1 3+ 5- 7+  3 13- -3 -6
Curve Equation t Generators 28665j1 [1,-1,1,-4052,165106] 1 [34:239:1]
28665k (1 curve)	1	3+ 5- 7+ 13-	2 3+ 5- 7+  4 13- -7  2
Curve Equation t Generators 28665k1 [0,0,1,-435267,110578655] 1 [3234:6611:8]
28665l (2 curves)	1	3+ 5- 7- 13+	0 3+ 5- 7-  3 13+ -3  4
Curve Equation t Generators 28665l1 [0,0,1,588,7117] 1 [25:193:1] 28665l2 [0,0,1,-18522,974720] 1 [78:-68:1]
28665m (2 curves)	1	3+ 5- 7- 13+	1 3+ 5- 7-  2 13+  8 -8
Curve Equation t Generators 28665m1 [1,-1,0,-744,-4005] 2 [422:2337:8] 28665m2 [1,-1,0,-10299,-399582] 2 [1094:6313:8]
28665n (1 curve)	1	3+ 5- 7- 13+	1 3+ 5- 7- -3 13+ -3  6
Curve Equation t Generators 28665n1 [1,-1,0,-9,20] 1 [4:4:1]
28665o (2 curves)	1	3+ 5- 7- 13+	1 3+ 5- 7-  6 13+  0  0
Curve Equation t Generators 28665o1 [1,-1,0,-67629,-6750472] 2 [-148:94:1] 28665o2 [1,-1,0,-77184,-4711435] 2 [-164:1957:1]
28665p (1 curve)	1	3+ 5- 7- 13+	-2 3+ 5- 7- -4 13+ -7 -2
Curve Equation t Generators 28665p1 [0,0,1,-987,11940] 1 [23:-38:1]
28665q (2 curves)	0	3+ 5- 7- 13-	-1 3+ 5- 7- -4 13-  4 -6
Curve Equation t 28665q1 [1,-1,1,-10667,-469934] 2 28665q2 [1,-1,1,-176042,-28385234] 2
28665r (2 curves)	0	3+ 5- 7- 13-	-1 3+ 5- 7-  6 13-  4  4
Curve Equation t 28665r1 [1,-1,1,-6434567,6284029966] 2 28665r2 [1,-1,1,-6444122,6264438394] 2
28665s (1 curve)	0	3- 5+ 7+ 13+	-1 3- 5+ 7+  0 13+ -4  2
Curve Equation t 28665s1 [1,-1,1,2122,-452294] 1
28665t (2 curves)	1	3- 5+ 7+ 13-	0 3- 5+ 7+  0 13-  3  8
Curve Equation t Generators 28665t1 [0,0,1,-588,14418] 1 [14:-95:1] 28665t2 [0,0,1,-66738,6636033] 3 [149:-5:1]
28665u (1 curve)	1	3- 5+ 7+ 13-	1 3- 5+ 7+  0 13-  0 -6
Curve Equation t Generators 28665u1 [1,-1,0,-2217210,-1270203859] 1 [8571667415397888673126131332:-184552358405137905610762849275:4437914768779165958561941]
28665v (1 curve)	1	3- 5+ 7+ 13-	1 3- 5+ 7+  5 13- -5 -1
Curve Equation t Generators 28665v1 [1,-1,0,-450,56461] 1 [-12:251:1]
28665w (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7- -1 13+ -6  2
Curve Equation t Generators 28665w1 [0,0,1,42,-72] 1 [2:4:1]
28665x (4 curves)	1	3- 5+ 7- 13+	-1 3- 5+ 7-  0 13+  2  4
Curve Equation t Generators 28665x1 [1,-1,1,-102983,-10631554] 2 [-122:385:1] 28665x2 [1,-1,1,-475628,116365862] 4 [-60:12058:1] 28665x3 [1,-1,1,527647,541353152] 2 [877:40525:1] 28665x4 [1,-1,1,-7441223,7814741456] 2 [-222:97351:1]
28665y (4 curves)	1	3- 5+ 7- 13+	-1 3- 5+ 7-  0 13+  2 -4
Curve Equation t Generators 28665y1 [1,-1,1,2857,61422] 2 [30:401:1] 28665y2 [1,-1,1,-16988,601206] 4 [-40:1122:1] 28665y3 [1,-1,1,-102983,-12229248] 2 [-157:303:1] 28665y4 [1,-1,1,-248513,47739696] 2 [296:72:1]
28665z (1 curve)	0	3- 5+ 7- 13-	0 3- 5+ 7-  0 13- -7  8
Curve Equation t 28665z1 [0,0,1,5893692,315295384] 1
28665ba (1 curve)	0	3- 5+ 7- 13-	0 3- 5+ 7- -5 13- -2 -2
Curve Equation t 28665ba1 [0,0,1,-115248,-343320791] 1
28665bb (2 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7-  0 13-  0 -6
Curve Equation t 28665bb1 [1,-1,0,-14625,683640] 2 28665bb2 [1,-1,0,-18720,273321] 2
28665bc (2 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7- -2 13-  2  6
Curve Equation t 28665bc1 [1,-1,0,-450,895] 2 28665bc2 [1,-1,0,1755,5746] 2
28665bd (4 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7-  4 13-  2  0
Curve Equation t 28665bd1 [1,-1,0,-450270,-115047185] 2 28665bd2 [1,-1,0,-822915,103248256] 4 28665bd3 [1,-1,0,3046860,794390071] 2 28665bd4 [1,-1,0,-10655010,13378542925] 2
28665be (4 curves)	0	3- 5+ 7- 13-	-1 3- 5+ 7-  0 13- -2  4
Curve Equation t 28665be1 [1,-1,1,-22133,917452] 2 28665be2 [1,-1,1,-130178,-17320544] 4 28665be3 [1,-1,1,70477,-66039578] 2 28665be4 [1,-1,1,-2059553,-1137129794] 2
28665bf (2 curves)	2	3- 5+ 7- 13-	-1 3- 5+ 7-  0 13- -4 -2
Curve Equation t Generators 28665bf1 [1,-1,1,-293,1572] 2 [-10:63:1]&[-74:501:8] 28665bf2 [1,-1,1,-4388,112956] 2 [41:-48:1]&[-40:492:1]
28665bg (4 curves)	0	3- 5+ 7- 13-	-1 3- 5+ 7- -4 13-  6 -8
Curve Equation t 28665bg1 [1,-1,1,-12578,129336] 2 28665bg2 [1,-1,1,-120623,-15990978] 4 28665bg3 [1,-1,1,-43448,-36241698] 2 28665bg4 [1,-1,1,-1926518,-1028736894] 2
28665bh (1 curve)	0	3- 5+ 7- 13-	-2 3- 5+ 7- -5 13- -7  6
Curve Equation t 28665bh1 [0,0,1,-29253,-3025346] 1
28665bi (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+  0 13+  7 -8
Curve Equation t Generators 28665bi1 [0,0,1,288790908,-108146316798] 1 [15697277890:-3053069712598:571787]
28665bj (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+ -5 13+  2  2
Curve Equation t Generators 28665bj1 [0,0,1,-2352,1000935] 1 [53:-1013:1]
28665bk (1 curve)	0	3- 5- 7+ 13-	0 3- 5- 7+ -1 13-  6 -2
Curve Equation t 28665bk1 [0,0,1,2058,24610] 1
28665bl (2 curves)	0	3- 5- 7- 13+	0 3- 5- 7-  0 13+ -3 -8
Curve Equation t 28665bl1 [0,0,1,-28812,-4945460] 1 28665bl2 [0,0,1,-3270162,-2276159405] 1
28665bm (1 curve)	0	3- 5- 7- 13+	1 3- 5- 7-  0 13+  0  6
Curve Equation t 28665bm1 [1,-1,0,-108643299,435897210230] 1
28665bn (2 curves)	0	3- 5- 7- 13+	1 3- 5- 7-  0 13+  0  6
Curve Equation t 28665bn1 [1,-1,0,-716634,-233055257] 2 28665bn2 [1,-1,0,-917289,-91914530] 2
28665bo (4 curves)	0	3- 5- 7- 13+	1 3- 5- 7-  0 13+ -6  0
Curve Equation t 28665bo1 [1,-1,0,-29409,1948400] 2 28665bo2 [1,-1,0,-31614,1641023] 4 28665bo3 [1,-1,0,76431,10349450] 2 28665bo4 [1,-1,0,-174939,-26765992] 2
28665bp (6 curves)	0	3- 5- 7- 13+	1 3- 5- 7- -4 13+  2  4
Curve Equation t 28665bp1 [1,-1,0,66141,35913240] 2 28665bp2 [1,-1,0,-1311984,546095115] 4 28665bp3 [1,-1,0,-4013109,-2424602160] 4 28665bp4 [1,-1,0,-20660859,36151894890] 2 28665bp5 [1,-1,0,9029466,-14921997525] 2 28665bp6 [1,-1,0,-60273684,-180084245895] 2
28665bq (8 curves)	0	3- 5- 7- 13+	1 3- 5- 7- -4 13+  2  4
Curve Equation t 28665bq1 [1,-1,0,-48519,4125568] 2 28665bq2 [1,-1,0,-50724,3731755] 4 28665bq3 [1,-1,0,92601,20902090] 2 28665bq4 [1,-1,0,-229329,-38669072] 4 28665bq5 [1,-1,0,266796,-183438347] 2 28665bq6 [1,-1,0,-3583134,-2609695985] 4 28665bq7 [1,-1,0,-3497139,-2740975952] 2 28665bq8 [1,-1,0,-57330009,-167064384110] 2
28665br (1 curve)	0	3- 5- 7- 13+	1 3- 5- 7-  5 13+  5  1
Curve Equation t 28665br1 [1,-1,0,-9,-162] 1
28665bs (2 curves)	0	3- 5- 7- 13+	-1 3- 5- 7-  0 13+  4  2
Curve Equation t 28665bs1 [1,-1,1,-14342,-510604] 2 28665bs2 [1,-1,1,-214997,-38314006] 2
28665bt (4 curves)	2	3- 5- 7- 13+	-1 3- 5- 7- -4 13+ -2 -4
Curve Equation t Generators 28665bt1 [1,-1,1,-62852,-6049074] 2 [-144:74:1]&[431:6624:1] 28665bt2 [1,-1,1,-65057,-5600136] 4 [-178:651:1]&[-1314:7023:8] 28665bt3 [1,-1,1,100318,-29546436] 2 [212:996:1]&[464:-11037:1] 28665bt4 [1,-1,1,-265712,47051736] 2 [-544:5784:1]&[-334:10089:1]
28665bu (1 curve)	0	3- 5- 7- 13+	-2 3- 5- 7-  5 13+  5 -2
Curve Equation t 28665bu1 [0,0,1,-147,-6260] 1
28665bv (1 curve)	1	3- 5- 7- 13-	-1 3- 5- 7-  0 13-  4 -2
Curve Equation t Generators 28665bv1 [1,-1,1,43,1306] 1 [-4:34:1]
28665bw (1 curve)	1	3- 5- 7- 13-	-2 3- 5- 7-  1 13- -1  2
Curve Equation t Generators 28665bw1 [0,0,1,-83937,9611460] 1 [95:1579:1]

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