Cremona's table of elliptic curves

19800 = 2³ · 3² · 5² · 11

Class	r	Atkin-Lehner	Eigenvalues
19800a (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  2 11-  6  6 -2
Curve Equation t 19800a1 [0,0,0,-375,2250] 2 19800a2 [0,0,0,-1875,-29250] 2
19800b (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -4 11-  4 -2 -6
Curve Equation t 19800b1 [0,0,0,-60075,5649750] 2 19800b2 [0,0,0,-33075,10752750] 2
19800c (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  0 11+ -2  6  0
Curve Equation t 19800c1 [0,0,0,-2775,54250] 2 19800c2 [0,0,0,-7275,-166250] 4 19800c3 [0,0,0,-106275,-13333250] 2 19800c4 [0,0,0,19725,-1111250] 2
19800d (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  0 11+  6 -6  0
Curve Equation t 19800d1 [0,0,0,-12450,534625] 4 19800d2 [0,0,0,-13575,432250] 4 19800d3 [0,0,0,-81075,-8545250] 2 19800d4 [0,0,0,35925,2857750] 2
19800e (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  2 11+  0 -8 -8
Curve Equation t 19800e1 [0,0,0,69450,-6517375] 2 19800e2 [0,0,0,-386175,-60736750] 2
19800f (1 curve)	0	2+ 3- 5+ 11+	2+ 3- 5+ -3 11+  0 -3  3
Curve Equation t 19800f1 [0,0,0,-27721875,58068418750] 1
19800g (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -1 11-  0  1  1
Curve Equation t Generators 19800g1 [0,0,0,285,118190] 1 [31:396:1]
19800h (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -1 11-  6  3 -5
Curve Equation t Generators 19800h1 [0,0,0,-15075,762750] 1 [130:1000:1]
19800i (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11-  0  0 -8
Curve Equation t Generators 19800i1 [0,0,0,-8550,293625] 2 [40:125:1] 19800i2 [0,0,0,3825,1073250] 2 [-45:900:1]
19800j (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11-  0  4  4
Curve Equation t Generators 19800j1 [0,0,0,-2009550,-1086841375] 2 [1940:48125:1] 19800j2 [0,0,0,-512175,-2669566750] 2 [21355:3118500:1]
19800k (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11-  0 -6  4
Curve Equation t Generators 19800k1 [0,0,0,-900,-13500] 1 [46:206:1]
19800l (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11-  0 -6  4
Curve Equation t Generators 19800l1 [0,0,0,-1803675,932363750] 2 [2650:121500:1] 19800l2 [0,0,0,-1794675,942128750] 2 [-16700:2388375:64]
19800m (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -2 11-  4  0 -4
Curve Equation t Generators 19800m1 [0,0,0,-2550,12625] 2 [-40:225:1] 19800m2 [0,0,0,9825,99250] 2 [15:500:1]
19800n (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -4 11- -6  6 -8
Curve Equation t Generators 19800n1 [0,0,0,150,-19375] 2 [40:225:1] 19800n2 [0,0,0,-9975,-373750] 4 [-61:88:1] 19800n3 [0,0,0,-158475,-24282250] 2 [670:13050:1] 19800n4 [0,0,0,-23475,854750] 2 [-145:1100:1]
19800o (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -4 11- -6 -6  4
Curve Equation t Generators 19800o1 [0,0,0,-1134450,-465078375] 2 [112740:3507075:64] 19800o2 [0,0,0,-1135575,-464109750] 4 [-629:1144:1] 19800o3 [0,0,0,-1698075,43827750] 2 [-1185:19800:1] 19800o4 [0,0,0,-591075,-910055250] 2 [1846:65494:1]
19800p (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5-  1 11+ -1  2 -5
Curve Equation t Generators 19800p1 [0,0,0,-7135500,-7338647500] 1 [5350:328050:1]
19800q (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5-  1 11+  4 -3  5
Curve Equation t Generators 19800q1 [0,0,0,-19875,1088750] 1 [79:108:1]
19800r (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  4 11+ -6 -2  4
Curve Equation t Generators 19800r1 [0,0,0,105,650] 2 [11:56:1] 19800r2 [0,0,0,-795,6950] 2 [-1:88:1]
19800s (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5- -1 11-  0  1  1
Curve Equation t 19800s1 [0,0,0,285,1150] 1
19800t (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  2 11-  0  4  4
Curve Equation t 19800t1 [0,0,0,-45750,3765625] 2 19800t2 [0,0,0,-51375,2781250] 2
19800u (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5- -2 11- -1 -4 -3
Curve Equation t 19800u1 [0,0,0,-19875,1138750] 1
19800v (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  3 11-  4  1  7
Curve Equation t 19800v1 [0,0,0,-172999875,-877153171250] 1
19800w (1 curve)	2	2+ 3- 5- 11-	2+ 3- 5- -3 11- -5 -6 -1
Curve Equation t Generators 19800w1 [0,0,0,-300,10100] 1 [-26:18:1]&[-10:110:1]
19800x (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  2 11+  6 -6 -2
Curve Equation t 19800x1 [0,0,0,-3375,-60750] 2 19800x2 [0,0,0,-16875,789750] 2
19800y (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+ -4 11+  4  2 -6
Curve Equation t 19800y1 [0,0,0,-6675,-209250] 2 19800y2 [0,0,0,-3675,-398250] 2
19800z (1 curve)	1	2- 3- 5+ 11+	2- 3- 5+ -1 11+  1 -2 -5
Curve Equation t Generators 19800z1 [0,0,0,-285420,-58709180] 1 [6104:475002:1]
19800ba (1 curve)	1	2- 3- 5+ 11+	2- 3- 5+ -1 11+ -4  3  5
Curve Equation t Generators 19800ba1 [0,0,0,-795,8710] 1 [11:36:1]
19800bb (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  2 11+  4 -4  0
Curve Equation t Generators 19800bb1 [0,0,0,450,10125] 2 [10:125:1] 19800bb2 [0,0,0,-5175,128250] 2 [-15:450:1]
19800bc (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  2 11+ -4  0 -4
Curve Equation t Generators 19800bc1 [0,0,0,-2550,-108875] 2 [90:625:1] 19800bc2 [0,0,0,-53175,-4715750] 2 [-135:50:1]
19800bd (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+  0 -2  8
Curve Equation t Generators 19800bd1 [0,0,0,-1875,-9250] 2 [-29:144:1] 19800bd2 [0,0,0,7125,-72250] 2 [46:594:1]
19800be (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+  0  4 -4
Curve Equation t Generators 19800be1 [0,0,0,-83550,9606125] 2 [70:2025:1] 19800be2 [0,0,0,-1349175,603184250] 2 [665:250:1]
19800bf (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+  4 11+  6 -2 -4
Curve Equation t Generators 19800bf1 [0,0,0,-768450,-259160875] 2 [-21364910:7249957:42875] 19800bf2 [0,0,0,-904575,-161014750] 4 [3565:204750:1] 19800bf3 [0,0,0,-7092075,7158797750] 2 [1319045:65760500:343] 19800bf4 [0,0,0,3104925,-1199475250] 2 [418895:27053208:125]
19800bg (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -4 11+ -2 -2  4
Curve Equation t Generators 19800bg1 [0,0,0,-12450,89125] 2 [6:121:1] 19800bg2 [0,0,0,-148575,22005250] 4 [105:2750:1] 19800bg3 [0,0,0,-2376075,1409737750] 2 [899:468:1] 19800bg4 [0,0,0,-99075,36904750] 2 [195:5000:1]
19800bh (6 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11-  2  2  4
Curve Equation t 19800bh1 [0,0,0,14550,552125] 2 19800bh2 [0,0,0,-76575,5017250] 4 19800bh3 [0,0,0,-522075,-141552250] 2 19800bh4 [0,0,0,-1089075,437354750] 4 19800bh5 [0,0,0,-17424075,27994499750] 2 19800bh6 [0,0,0,-954075,549809750] 2
19800bi (6 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11-  2 -6 -4
Curve Equation t 19800bi1 [0,0,0,-39450,-5040875] 2 19800bi2 [0,0,0,-742575,-246212750] 4 19800bi3 [0,0,0,-11880075,-15760750250] 2 19800bi4 [0,0,0,-855075,-166675250] 4 19800bi5 [0,0,0,-6300075,5969839750] 2 19800bi6 [0,0,0,2789925,-1212790250] 2
19800bj (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  1  4 -3
Curve Equation t 19800bj1 [0,0,0,-795,9110] 1
19800bk (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  4  4  0
Curve Equation t 19800bk1 [0,0,0,-29550,-1949875] 2 19800bk2 [0,0,0,-17175,-3595750] 2
19800bl (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  4 -4  8
Curve Equation t 19800bl1 [0,0,0,-2459550,1484675125] 2 19800bl2 [0,0,0,-2447175,1500354250] 2
19800bm (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  3 11-  5  6 -1
Curve Equation t 19800bm1 [0,0,0,-7500,1262500] 1
19800bn (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -3 11- -4 -1  7
Curve Equation t 19800bn1 [0,0,0,-6919995,-7017225370] 1
19800bo (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  4 11- -2  6  4
Curve Equation t 19800bo1 [0,0,0,5550,-27875] 2 19800bo2 [0,0,0,-22575,-224750] 4 19800bo3 [0,0,0,-270075,-53932250] 2 19800bo4 [0,0,0,-225075,40882750] 2
19800bp (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -4 11- -2  2 -4
Curve Equation t 19800bp1 [0,0,0,-62175,-5966750] 2 19800bp2 [0,0,0,-66675,-5053250] 4 19800bp3 [0,0,0,-363675,80185750] 2 19800bp4 [0,0,0,158325,-31828250] 2
19800bq (1 curve)	0	2- 3- 5- 11+	2- 3- 5-  3 11+  0  3  3
Curve Equation t 19800bq1 [0,0,0,-1108875,464547350] 1
19800br (2 curves)	0	2- 3- 5- 11+	2- 3- 5- -4 11+  6  2  4
Curve Equation t 19800br1 [0,0,0,2625,81250] 2 19800br2 [0,0,0,-19875,868750] 2
19800bs (1 curve)	1	2- 3- 5- 11-	2- 3- 5-  1 11-  0 -1  1
Curve Equation t Generators 19800bs1 [0,0,0,7125,143750] 1 [27650:382250:343]
19800bt (1 curve)	1	2- 3- 5- 11-	2- 3- 5-  1 11-  0 -1  1
Curve Equation t Generators 19800bt1 [0,0,0,7125,14773750] 1 [-109:3564:1]
19800bu (2 curves)	1	2- 3- 5- 11-	2- 3- 5- -2 11-  0 -4  4
Curve Equation t Generators 19800bu1 [0,0,0,-1830,30125] 2 [26:11:1] 19800bu2 [0,0,0,-2055,22250] 2 [5:110:1]

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