Cremona's table of elliptic curves

56925 = 3² · 5² · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
56925a (1 curve)	1	3+ 5+ 11+ 23+	0 3+ 5+  0 11+ -5 -2 -5
Curve Equation t Generators 56925a1 [0,0,1,-2700,-159469] 1 [81:391:1]
56925b (2 curves)	0	3+ 5+ 11+ 23-	1 3+ 5+ -2 11+ -2  2 -4
Curve Equation t 56925b1 [1,-1,0,3333,-472384] 2 56925b2 [1,-1,0,-74292,-7381009] 2
56925c (2 curves)	2	3+ 5+ 11- 23+	-1 3+ 5+ -2 11- -2 -2 -4
Curve Equation t Generators 56925c1 [1,-1,1,370,17372] 2 [-138:665:8]&[4:-140:1] 56925c2 [1,-1,1,-8255,276122] 2 [-92:546:1]&[84:-455:1]
56925d (1 curve)	1	3+ 5+ 11- 23-	0 3+ 5+  0 11- -5  2 -5
Curve Equation t Generators 56925d1 [0,0,1,-300,5906] 1 [10:-63:1]
56925e (1 curve)	0	3+ 5- 11+ 23+	2 3+ 5- -2 11+ -1 -2 -7
Curve Equation t 56925e1 [0,0,1,-4995,-136519] 1
56925f (1 curve)	1	3+ 5- 11+ 23-	-2 3+ 5-  2 11+  1  2 -7
Curve Equation t Generators 56925f1 [0,0,1,-124875,-17064844] 1 [3282:6935:8]
56925g (1 curve)	1	3+ 5- 11- 23+	2 3+ 5-  2 11-  1 -2 -7
Curve Equation t Generators 56925g1 [0,0,1,-13875,632031] 1 [450:1371:8]
56925h (1 curve)	2	3+ 5- 11- 23-	-2 3+ 5- -2 11- -1  2 -7
Curve Equation t Generators 56925h1 [0,0,1,-555,5056] 1 [-25:57:1]&[25:82:1]
56925i (2 curves)	0	3- 5+ 11+ 23+	0 3- 5+  1 11+ -2  3 -4
Curve Equation t 56925i1 [0,0,1,-210,-284] 1 56925i2 [0,0,1,-10110,391261] 1
56925j (1 curve)	0	3- 5+ 11+ 23+	0 3- 5+  5 11+  4  3  4
Curve Equation t 56925j1 [0,0,1,221550,68058531] 1
56925k (4 curves)	0	3- 5+ 11+ 23+	1 3- 5+  4 11+ -2  2 -4
Curve Equation t 56925k1 [1,-1,0,-53442,4768591] 2 56925k2 [1,-1,0,-54567,4558216] 4 56925k3 [1,-1,0,56808,20707591] 2 56925k4 [1,-1,0,-183942,-25068659] 2
56925l (2 curves)	2	3- 5+ 11+ 23+	-1 3- 5+  0 11+  0  0 -6
Curve Equation t Generators 56925l1 [1,-1,1,-13730,-607728] 2 [-578:735:8]&[-72:96:1] 56925l2 [1,-1,1,-1355,-1671978] 2 [140:861:1]&[1182:8655:8]
56925m (6 curves)	0	3- 5+ 11+ 23+	-1 3- 5+  0 11+  2  2 -4
Curve Equation t 56925m1 [1,-1,1,6970,654972] 2 56925m2 [1,-1,1,-84155,8491722] 4 56925m3 [1,-1,1,-317030,-59507778] 2 56925m4 [1,-1,1,-1309280,576949722] 4 56925m5 [1,-1,1,-1272155,611178972] 2 56925m6 [1,-1,1,-20948405,36909330972] 2
56925n (2 curves)	0	3- 5+ 11+ 23+	2 3- 5+  3 11+ -6 -3  0
Curve Equation t 56925n1 [0,0,1,-26535,-1662809] 1 56925n2 [0,0,1,-620625,188025781] 1
56925o (1 curve)	2	3- 5+ 11+ 23+	-2 3- 5+ -1 11+ -7 -4 -1
Curve Equation t Generators 56925o1 [0,0,1,195,2646] 1 [-62:203:8]&[21:126:1]
56925p (1 curve)	2	3- 5+ 11+ 23+	-2 3- 5+ -4 11+ -1  2 -1
Curve Equation t Generators 56925p1 [0,0,1,84075,-6212844] 1 [80:1012:1]&[1330:28121:8]
56925q (2 curves)	1	3- 5+ 11+ 23-	-1 3- 5+  2 11+ -2  0  2
Curve Equation t Generators 56925q1 [1,-1,1,-5180,2087822] 2 [-66:1495:1] 56925q2 [1,-1,1,-278555,56216072] 2 [264:880:1]
56925r (2 curves)	1	3- 5+ 11+ 23-	-1 3- 5+ -4 11+  4  0  2
Curve Equation t Generators 56925r1 [1,-1,1,-39605,-3019228] 2 [-116:120:1] 56925r2 [1,-1,1,-27230,-4949728] 2 [379:6060:1]
56925s (2 curves)	1	3- 5+ 11- 23+	0 3- 5+  1 11-  4  3 -4
Curve Equation t Generators 56925s1 [0,0,1,-94687950,-355247723219] 1 [334965:16632674:27] 56925s2 [0,0,1,159550800,-1751629453844] 1 [87620:26170787:1]
56925t (4 curves)	1	3- 5+ 11- 23+	1 3- 5+  0 11-  6  6 -4
Curve Equation t Generators 56925t1 [1,-1,0,1683,108216] 2 [988:30578:1] 56925t2 [1,-1,0,-26442,1542591] 4 [-1338:9669:8] 56925t3 [1,-1,0,-88317,-8295534] 2 [-1690:8437:8] 56925t4 [1,-1,0,-414567,102843216] 2 [304:2048:1]
56925u (4 curves)	1	3- 5+ 11- 23+	1 3- 5+  4 11-  2 -2  4
Curve Equation t Generators 56925u1 [1,-1,0,-31167,-4220384] 2 [62331360:-195786752:274625] 56925u2 [1,-1,0,-626292,-190494509] 4 [-58230:21107:125] 56925u3 [1,-1,0,-755667,-106012634] 2 [-786:1768:1] 56925u4 [1,-1,0,-10018917,-12203661884] 2 [-40111744680:20037086287:21952000]
56925v (1 curve)	1	3- 5+ 11- 23+	-1 3- 5+  4 11-  4  1 -4
Curve Equation t Generators 56925v1 [1,-1,1,-50,182] 1 [0:13:1]
56925w (1 curve)	1	3- 5+ 11- 23+	2 3- 5+  4 11- -5 -2  5
Curve Equation t Generators 56925w1 [0,0,1,-65738325,-205154576469] 1 [5997298:5192337839:8]
56925x (1 curve)	1	3- 5+ 11- 23+	-2 3- 5+  0 11- -3 -6 -1
Curve Equation t Generators 56925x1 [0,0,1,290175,-187475094] 1 [7259:620014:1]
56925y (4 curves)	2	3- 5+ 11- 23-	1 3- 5+  0 11- -6 -6  0
Curve Equation t Generators 56925y1 [1,-1,0,-1761192,-899177909] 2 [1538:4559:1]&[-18680118:9292451:24389] 56925y2 [1,-1,0,-1762317,-897970784] 4 [-780:1666:1]&[-6138:14569:8] 56925y3 [1,-1,0,-1081692,-1599695159] 2 [1904:55973:1]&[18510:718703:8] 56925y4 [1,-1,0,-2460942,-119003909] 2 [-79564:2081657:64]&[-1050:36671:1]
56925z (1 curve)	2	3- 5+ 11- 23-	-2 3- 5+ -3 11-  0 -3 -6
Curve Equation t Generators 56925z1 [0,0,1,-75,19156] 1 [-20:112:1]&[5:-138:1]
56925ba (1 curve)	1	3- 5- 11+ 23+	0 3- 5-  1 11+ -2  3  6
Curve Equation t Generators 56925ba1 [0,0,1,5640,-89919] 1 [65:742:1]
56925bb (2 curves)	1	3- 5- 11+ 23+	-1 3- 5- -4 11+ -2 -2 -4
Curve Equation t Generators 56925bb1 [1,-1,1,-513680,-128146678] 2 [-512:921:1] 56925bb2 [1,-1,1,-8000555,-8708105428] 2 [-1637:921:1]
56925bc (2 curves)	0	3- 5- 11+ 23-	0 3- 5- -1 11+  2 -3 -4
Curve Equation t 56925bc1 [0,0,1,-5250,-35469] 1 56925bc2 [0,0,1,-252750,48907656] 3
56925bd (1 curve)	0	3- 5- 11+ 23-	0 3- 5- -1 11+  2 -3  6
Curve Equation t 56925bd1 [0,0,1,141000,-11239844] 1
56925be (2 curves)	0	3- 5- 11+ 23-	1 3- 5-  4 11+  2  2 -4
Curve Equation t 56925be1 [1,-1,0,-20547,-1021064] 2 56925be2 [1,-1,0,-320022,-69600839] 2
56925bf (1 curve)	0	3- 5- 11+ 23-	2 3- 5-  1 11+  7  4 -1
Curve Equation t 56925bf1 [0,0,1,4875,330781] 1
56925bg (2 curves)	0	3- 5- 11+ 23-	-2 3- 5- -3 11+  6  3  0
Curve Equation t 56925bg1 [0,0,1,-24825,1504206] 1 56925bg2 [0,0,1,-663375,-207851094] 1
56925bh (1 curve)	0	3- 5- 11- 23+	0 3- 5-  1 11-  6 -1 -2
Curve Equation t 56925bh1 [0,0,1,-13710,-1363919] 1
56925bi (1 curve)	0	3- 5- 11- 23+	0 3- 5- -2 11-  3  2  7
Curve Equation t 56925bi1 [0,0,1,-14250,1500781] 1
56925bj (2 curves)	0	3- 5- 11- 23+	1 3- 5- -4 11- -2  6  0
Curve Equation t 56925bj1 [1,-1,0,-47322,-3950289] 2 56925bj2 [1,-1,0,-49797,-3512214] 2
56925bk (1 curve)	1	3- 5- 11- 23-	0 3- 5- -1 11- -6  1 -2
Curve Equation t Generators 56925bk1 [0,0,1,-342750,-170489844] 1 [900:15812:1]
56925bl (1 curve)	1	3- 5- 11- 23-	0 3- 5-  2 11- -3 -2  7
Curve Equation t Generators 56925bl1 [0,0,1,-570,12006] 1 [26:121:1]
56925bm (1 curve)	1	3- 5- 11- 23-	1 3- 5- -4 11- -4 -1 -4
Curve Equation t Generators 56925bm1 [1,-1,0,-1242,21541] 1 [44:203:1]
56925bn (2 curves)	1	3- 5- 11- 23-	-1 3- 5-  4 11-  2 -6  0
Curve Equation t Generators 56925bn1 [1,-1,1,-1183055,-494969178] 2 [1818013670:188147220543:166375] 56925bn2 [1,-1,1,-1244930,-440271678] 2 [58064314:12094464990:1331]

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