Cremona's table of elliptic curves

55800 = 2³ · 3² · 5² · 31

Class	r	Atkin-Lehner	Eigenvalues
55800a (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  1  1 -4  2  7
Curve Equation t Generators 55800a1 [0,0,0,-249075,47904750] 1 [1110:33750:1]
55800b (2 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  4 -2  2  2  4
Curve Equation t Generators 55800b1 [0,0,0,-27675,-9524250] 2 [78240693:2406604176:79507] 55800b2 [0,0,0,-864675,-308333250] 2 [47576304958702:812870151649514:39200051773]
55800c (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -4 -6  2 -3  0
Curve Equation t Generators 55800c1 [0,0,0,45,190] 1 [-1:12:1]
55800d (1 curve)	2	2+ 3+ 5+ 31-	2+ 3+ 5+  0 -3 -4 -3  1
Curve Equation t Generators 55800d1 [0,0,0,-60,-140] 1 [-6:2:1]&[-4:6:1]
55800e (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  0 -4 -2  6  4
Curve Equation t 55800e1 [0,0,0,-6750,212625] 2 55800e2 [0,0,0,-3375,425250] 2
55800f (2 curves)	0	2+ 3+ 5- 31+	2+ 3+ 5-  2  0  2 -2  4
Curve Equation t 55800f1 [0,0,0,-135,-550] 2 55800f2 [0,0,0,165,-2650] 2
55800g (2 curves)	0	2+ 3+ 5- 31+	2+ 3+ 5- -2  0 -2 -2  4
Curve Equation t 55800g1 [0,0,0,-30375,1856250] 2 55800g2 [0,0,0,37125,8943750] 2
55800h (1 curve)	0	2+ 3+ 5- 31+	2+ 3+ 5-  4  6 -2 -3  0
Curve Equation t 55800h1 [0,0,0,10125,-641250] 1
55800i (1 curve)	1	2+ 3+ 5- 31-	2+ 3+ 5-  0  3  4 -3  1
Curve Equation t Generators 55800i1 [0,0,0,-13500,472500] 1 [150:-1350:1]
55800j (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  0 -4  2  6  4
Curve Equation t 55800j1 [0,0,0,-62850,6064625] 2 55800j2 [0,0,0,-63975,5836250] 4 55800j3 [0,0,0,57525,25397750] 2 55800j4 [0,0,0,-203475,-28341250] 2
55800k (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+  1  5  5  2 -2
Curve Equation t 55800k1 [0,0,0,-17235,-872370] 1
55800l (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+ -1  0  6  0 -3
Curve Equation t 55800l1 [0,0,0,825,5875] 1
55800m (2 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  2  0 -4 -6  0
Curve Equation t 55800m1 [0,0,0,825,-935750] 2 55800m2 [0,0,0,-138675,-19489250] 2
55800n (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+ -2  2  2 -1  1
Curve Equation t 55800n1 [0,0,0,-8651700,9794938500] 1
55800o (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+  3  2  2 -6  1
Curve Equation t 55800o1 [0,0,0,-75,-3625] 1
55800p (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+ -4  4  6 -2 -4
Curve Equation t 55800p1 [0,0,0,5550,-635375] 2 55800p2 [0,0,0,-85575,-8927750] 4 55800p3 [0,0,0,-288075,49189750] 2 55800p4 [0,0,0,-1341075,-597757250] 2
55800q (4 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  0  0  2 -2 -4
Curve Equation t Generators 55800q1 [0,0,0,-197175,-93325750] 2 [16994:2214578:1] 55800q2 [0,0,0,-4521675,-3695634250] 4 [207407698:26858113126:12167] 55800q3 [0,0,0,-5916675,-1225089250] 2 [36261710608847542:-4687587861696927754:2125293586793] 55800q4 [0,0,0,-72318675,-236713923250] 2 [27175530338311102:3124639066891512274:1511767988333]
55800r (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+  0  0  2  3  1
Curve Equation t Generators 55800r1 [0,0,0,-1620300,800264500] 1 [16770:-156250:27]
55800s (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  0  0 -4  0  4
Curve Equation t Generators 55800s1 [0,0,0,825,-71750] 2 [1090:12825:8] 55800s2 [0,0,0,-21675,-1174250] 2 [335:5400:1]
55800t (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -1  6  0 -4 -3
Curve Equation t Generators 55800t1 [0,0,0,1725,-291625] 1 [691:18189:1]
55800u (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  2  0  0  2  0
Curve Equation t Generators 55800u1 [0,0,0,18825,-1201750] 2 [14470:198772:125] 55800u2 [0,0,0,-120675,-11943250] 2 [2095:94500:1]
55800v (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+  3  3 -1 -6  4
Curve Equation t Generators 55800v1 [0,0,0,-2595,67390] 1 [134:1458:1]
55800w (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -3 -3 -1  4  8
Curve Equation t Generators 55800w1 [0,0,0,-1875,3068750] 1 [-74:1674:1]
55800x (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+ -4 -6  6 -4  0
Curve Equation t Generators 55800x1 [0,0,0,-54075,11879750] 2 [335:5600:1] 55800x2 [0,0,0,-1179075,492254750] 2 [70:20250:1]
55800y (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  0  1  0  3  5
Curve Equation t Generators 55800y1 [0,0,0,-3229500,2231372500] 1 [1250:-12150:1]
55800z (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  2  0  2 -2  4
Curve Equation t Generators 55800z1 [0,0,0,-261750,-51184375] 2 [95980:1770131:125] 55800z2 [0,0,0,-87375,-118318750] 2 [2238903095:-44556178084:3048625]
55800ba (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  2  4 -2  0 -4
Curve Equation t Generators 55800ba1 [0,0,0,-1515,-22250] 2 [1245:2080:27] 55800ba2 [0,0,0,-3315,40750] 2 [-10:270:1]
55800bb (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5- -3  3  4  0  3
Curve Equation t Generators 55800bb1 [0,0,0,16125,-81250] 1 [50:1125:8]
55800bc (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5- -4 -3  6  7  1
Curve Equation t Generators 55800bc1 [0,0,0,-2100,-36700] 1 [-26:18:1]
55800bd (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5-  2  0 -2  2  4
Curve Equation t 55800bd1 [0,0,0,330,-1775] 2 55800bd2 [0,0,0,-1695,-15950] 2
55800be (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+  1 -1 -4 -2  7
Curve Equation t 55800be1 [0,0,0,-27675,-1774250] 1
55800bf (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  4  2  2 -2  4
Curve Equation t 55800bf1 [0,0,0,-3075,352750] 2 55800bf2 [0,0,0,-96075,11419750] 2
55800bg (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+ -4  6  2  3  0
Curve Equation t 55800bg1 [0,0,0,405,-5130] 1
55800bh (1 curve)	1	2- 3+ 5+ 31-	2- 3+ 5+  0  3 -4  3  1
Curve Equation t Generators 55800bh1 [0,0,0,-540,3780] 1 [-24:54:1]
55800bi (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  0  4 -2 -6  4
Curve Equation t Generators 55800bi1 [0,0,0,-750,-7875] 2 [34:77:1] 55800bi2 [0,0,0,-375,-15750] 2 [61:434:1]
55800bj (2 curves)	1	2- 3+ 5- 31+	2- 3+ 5-  2  0  2  2  4
Curve Equation t Generators 55800bj1 [0,0,0,-1215,14850] 2 [-39:54:1] 55800bj2 [0,0,0,1485,71550] 2 [-29:64:1]
55800bk (2 curves)	1	2- 3+ 5- 31+	2- 3+ 5- -2  0 -2  2  4
Curve Equation t Generators 55800bk1 [0,0,0,-3375,-68750] 2 [-31:78:1] 55800bk2 [0,0,0,4125,-331250] 2 [219:3328:1]
55800bl (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5-  4 -6 -2  3  0
Curve Equation t Generators 55800bl1 [0,0,0,1125,23750] 1 [19:228:1]
55800bm (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5-  0 -3  4  3  1
Curve Equation t 55800bm1 [0,0,0,-1500,-17500] 1
55800bn (4 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0  0  2  6  4
Curve Equation t Generators 55800bn1 [0,0,0,13425,-904750] 2 [865:25650:1] 55800bn2 [0,0,0,-99075,-9567250] 4 [24105:668800:27] 55800bn3 [0,0,0,-504075,129347750] 2 [-470:16200:1] 55800bn4 [0,0,0,-1494075,-702882250] 2 [50727930:31410800:35937]
55800bo (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  0  1  0 -3  5
Curve Equation t Generators 55800bo1 [0,0,0,-129180,17850980] 1 [184:558:1]
55800bp (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0 -2 -4  6  4
Curve Equation t Generators 55800bp1 [0,0,0,1725,8750] 2 [155:2000:1] 55800bp2 [0,0,0,-7275,71750] 2 [1330:14875:8]
55800bq (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  1  3  6 -4  1
Curve Equation t Generators 55800bq1 [0,0,0,-57675,6835750] 1 [110:1350:1]
55800br (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -2  2  2 -5  1
Curve Equation t Generators 55800br1 [0,0,0,-5700,-231500] 1 [1860:80150:1]
55800bs (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -2  5 -1  1  7
Curve Equation t Generators 55800bs1 [0,0,0,-7275,319750] 1 [74:432:1]
55800bt (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  3 -3  2  0  1
Curve Equation t Generators 55800bt1 [0,0,0,-368874075,2726875529750] 1 [3817030:2486700:343]
55800bu (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  3  4  2  0  1
Curve Equation t Generators 55800bu1 [0,0,0,-21675,-1232125] 1 [1297457:16632981:4913]
55800bv (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  4 -3 -6 -7  1
Curve Equation t Generators 55800bv1 [0,0,0,-52500,-4587500] 1 [-124:126:1]
55800bw (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  4 -4 -4  4  4
Curve Equation t Generators 55800bw1 [0,0,0,-7050,35125] 2 [185:2250:1] 55800bw2 [0,0,0,27825,279250] 2 [170:3150:1]
55800bx (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -5 -4  2 -8  1
Curve Equation t Generators 55800bx1 [0,0,0,210525,86153875] 1 [-271:3033:1]
55800by (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0 -2 -2  0 -8
Curve Equation t 55800by1 [0,0,0,-72675,-8363250] 2 55800by2 [0,0,0,-1197675,-504488250] 2
55800bz (4 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0  4 -2  6  4
Curve Equation t 55800bz1 [0,0,0,-81450,5599125] 2 55800bz2 [0,0,0,-1162575,482375250] 4 55800bz3 [0,0,0,-1023075,602484750] 2 55800bz4 [0,0,0,-18600075,30875937750] 2
55800ca (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  3  2 -4 -4 -7
Curve Equation t 55800ca1 [0,0,0,-31575,-2383625] 1
55800cb (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  3 -2  4  0  1
Curve Equation t 55800cb1 [0,0,0,225,3375] 1
55800cc (1 curve)	0	2- 3- 5- 31+	2- 3- 5- -1  5 -5 -2 -2
Curve Equation t 55800cc1 [0,0,0,-430875,-109046250] 1
55800cd (2 curves)	0	2- 3- 5- 31+	2- 3- 5- -2  0 -2  2  4
Curve Equation t 55800cd1 [0,0,0,-10470,-409475] 2 55800cd2 [0,0,0,-3495,-946550] 2
55800ce (2 curves)	0	2- 3- 5- 31+	2- 3- 5- -2  4  2  0 -4
Curve Equation t 55800ce1 [0,0,0,-37875,-2781250] 2 55800ce2 [0,0,0,-82875,5093750] 2
55800cf (1 curve)	0	2- 3- 5- 31+	2- 3- 5-  3  3 -4  0  3
Curve Equation t 55800cf1 [0,0,0,645,-650] 1
55800cg (2 curves)	1	2- 3- 5- 31-	2- 3- 5- -2  0  2 -2  4
Curve Equation t Generators 55800cg1 [0,0,0,8250,-221875] 2 [26:101:1] 55800cg2 [0,0,0,-42375,-1993750] 2 [-175:250:1]
55800ch (1 curve)	1	2- 3- 5- 31-	2- 3- 5-  3 -3  1 -4  8
Curve Equation t Generators 55800ch1 [0,0,0,-75,24550] 1 [14:162:1]
55800ci (1 curve)	1	2- 3- 5- 31-	2- 3- 5- -3  3  1  6  4
Curve Equation t Generators 55800ci1 [0,0,0,-64875,8423750] 1 [338:19197:8]

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