Cremona's table of elliptic curves

13680 = 2⁴ · 3² · 5 · 19

Class	r	Atkin-Lehner	Eigenvalues
13680a (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  0  2  0  0 19-
Curve Equation t 13680a1 [0,0,0,-11883,-498582] 2 13680a2 [0,0,0,-12003,-487998] 2
13680b (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  2  2  0  6 19-
Curve Equation t 13680b1 [0,0,0,237,-161438] 2 13680b2 [0,0,0,-43083,-3375782] 2
13680c (2 curves)	2	2+ 3+ 5+ 19-	2+ 3+ 5+ -4 -2 -4 -4 19-
Curve Equation t Generators 13680c1 [0,0,0,-483,4082] 2 [-14:90:1]&[1:60:1] 13680c2 [0,0,0,-603,1898] 2 [-23:60:1]&[-7:76:1]
13680d (2 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5-  0 -2  0  0 19-
Curve Equation t Generators 13680d1 [0,0,0,-106947,13461714] 2 [193:100:1] 13680d2 [0,0,0,-108027,13175946] 2 [97:1900:1]
13680e (2 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5-  2 -2  0 -6 19-
Curve Equation t Generators 13680e1 [0,0,0,2133,4358826] 2 [-83:1900:1] 13680e2 [0,0,0,-387747,91146114] 2 [183:5130:1]
13680f (2 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5- -4  2 -4  4 19-
Curve Equation t Generators 13680f1 [0,0,0,-4347,-110214] 2 [-38:10:1] 13680f2 [0,0,0,-5427,-51246] 2 [-57:270:1]
13680g (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  0  0 -2  6 19+
Curve Equation t 13680g1 [0,0,0,-858,18907] 2 13680g2 [0,0,0,-17103,860398] 4 13680g3 [0,0,0,-20523,491722] 2 13680g4 [0,0,0,-273603,55084498] 4
13680h (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  0 -4  4  2 19+
Curve Equation t 13680h1 [0,0,0,-318,1883] 2 13680h2 [0,0,0,537,10262] 2
13680i (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -2  0 -2 -4 19+
Curve Equation t 13680i1 [0,0,0,125637,14033338] 2 13680i2 [0,0,0,-661683,127564882] 2
13680j (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -2  6  4  2 19+
Curve Equation t 13680j1 [0,0,0,-183,-1802] 2 13680j2 [0,0,0,-3603,-83198] 2
13680k (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -4 -4  2  6 19+
Curve Equation t 13680k1 [0,0,0,-2298,19307] 2 13680k2 [0,0,0,-18543,-958642] 4 13680k3 [0,0,0,-295563,-61847638] 2 13680k4 [0,0,0,-1443,-2658382] 2
13680l (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  0  4  2 -6 19-
Curve Equation t Generators 13680l1 [0,0,0,177,1582] 2 [-3:32:1] 13680l2 [0,0,0,-1443,17458] 4 [-31:180:1] 13680l3 [0,0,0,-6843,-201782] 2 [-39:76:1] 13680l4 [0,0,0,-21963,1252762] 2 [87:22:1]
13680m (6 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  0  4 -2 -2 19-
Curve Equation t Generators 13680m1 [0,0,0,2742,-114793] 2 [3795753:33695648:59319] 13680m2 [0,0,0,-25383,-1335418] 4 [7959:110656:27] 13680m3 [0,0,0,-389883,-93699718] 4 [1177:32832:1] 13680m4 [0,0,0,-110883,12908882] 2 [91:1890:1] 13680m5 [0,0,0,-6238083,-5996872798] 2 [3742:151848:1] 13680m6 [0,0,0,-373683,-101841838] 2 [88698:4987576:27]
13680n (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  0 -4 -6  6 19-
Curve Equation t Generators 13680n1 [0,0,0,-18,567] 2 [7:28:1] 13680n2 [0,0,0,-1143,14742] 4 [6:90:1] 13680n3 [0,0,0,-2043,-11718] 2 [-23:152:1] 13680n4 [0,0,0,-18243,948402] 2 [82:62:1]
13680o (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+  1  4  1  7 19-
Curve Equation t Generators 13680o1 [0,0,0,-603,25002] 1 [31:190:1]
13680p (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  2 -2 -4  2 19-
Curve Equation t Generators 13680p1 [0,0,0,177,-4498] 2 [94:918:1] 13680p2 [0,0,0,-3243,-66742] 2 [-29:54:1]
13680q (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -4  0  2 -2 19-
Curve Equation t Generators 13680q1 [0,0,0,-858,-9673] 2 [47:232:1] 13680q2 [0,0,0,-903,-8602] 4 [-14:36:1] 13680q3 [0,0,0,-4323,101522] 2 [-29:450:1] 13680q4 [0,0,0,1797,-50182] 2 [41:304:1]
13680r (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -4  4 -4  2 19-
Curve Equation t Generators 13680r1 [0,0,0,-234318,-43693117] 2 [474759650067417982287:-23496852431105007326614:186315189360620949] 13680r2 [0,0,0,-3749943,-2795021242] 2 [-58159631501939:-70153198308:52020433837]
13680s (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -4 -4  0 -6 19-
Curve Equation t Generators 13680s1 [0,0,0,42,43] 2 [3:14:1] 13680s2 [0,0,0,-183,358] 2 [-7:36:1]
13680t (4 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  0 -4 -2  2 19+
Curve Equation t Generators 13680t1 [0,0,0,5793,-401506] 2 [58:360:1] 13680t2 [0,0,0,-59187,-4859134] 4 [-173:450:1] 13680t3 [0,0,0,-914187,-336428134] 2 [-553:70:1] 13680t4 [0,0,0,-243867,41421674] 4 [118:3780:1]
13680u (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  2 -4 -2  0 19+
Curve Equation t Generators 13680u1 [0,0,0,213,-214] 2 [10:54:1] 13680u2 [0,0,0,-867,-1726] 2 [-17:90:1]
13680v (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  2 -2 -4 -6 19+
Curve Equation t 13680v1 [0,0,0,11637,333882] 2 13680v2 [0,0,0,-57483,2946618] 2
13680w (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  4 -6  0 -4 19-
Curve Equation t Generators 13680w1 [0,0,0,-8883,-114318] 2 [-33:378:1] 13680w2 [0,0,0,-78003,8304498] 2 [201:864:1]
13680x (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5-  2  2 -4  6 19+
Curve Equation t Generators 13680x1 [0,0,0,1293,-12366] 2 [15:102:1] 13680x2 [0,0,0,-6387,-109134] 2 [-23:160:1]
13680y (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  4  6  0  4 19-
Curve Equation t 13680y1 [0,0,0,-987,4234] 2 13680y2 [0,0,0,-8667,-307574] 2
13680z (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+  1  0 -1  3 19+
Curve Equation t Generators 13680z1 [0,0,0,-4323,-168478] 1 [1271:45250:1] 13680z2 [0,0,0,-400323,-97490878] 1 [16341937:514458110:12167]
13680ba (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+  2  0  6 -8 19+
Curve Equation t Generators 13680ba1 [0,0,0,-3,-4862] 2 [33:176:1] 13680ba2 [0,0,0,-4323,-107678] 2 [-39:40:1]
13680bb (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+  2 -2  0  2 19+
Curve Equation t Generators 13680bb1 [0,0,0,-2523,131722] 2 [29:288:1] 13680bb2 [0,0,0,-57243,5264458] 2 [-241:2250:1]
13680bc (4 curves)	1	2- 3- 5+ 19+	2- 3- 5+ -2  0  2  0 19+
Curve Equation t Generators 13680bc1 [0,0,0,-3243,878042] 2 [-26:972:1] 13680bc2 [0,0,0,-158763,24174938] 2 [-161:6750:1] 13680bc3 [0,0,0,29157,-23570998] 2 [5014:355212:1] 13680bc4 [0,0,0,-1076763,-415287862] 2 [-521:2070:1]
13680bd (4 curves)	1	2- 3- 5+ 19+	2- 3- 5+ -4  0 -6 -2 19+
Curve Equation t Generators 13680bd1 [0,0,0,-273603,57571522] 2 [-223:10368:1] 13680bd2 [0,0,0,-4432323,3591651778] 4 [609:33440:1] 13680bd3 [0,0,0,-4487043,3498419842] 2 [591:32450:1] 13680bd4 [0,0,0,-70917123,229866020098] 2 [4983:14674:1]
13680be (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2  2  4  2 19-
Curve Equation t 13680be1 [0,0,0,1344237,-1275542062] 2 13680be2 [0,0,0,-12664083,-14944860718] 2 13680be3 [0,0,0,-475410963,-3989808404782] 2 13680be4 [0,0,0,-7606576083,-255347690321518] 2
13680bf (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  4 -4 -6  6 19-
Curve Equation t 13680bf1 [0,0,0,1797,-25558] 2 13680bf2 [0,0,0,-9723,-235222] 4 13680bf3 [0,0,0,-139323,-20012182] 2 13680bf4 [0,0,0,-64443,6123242] 2
13680bg (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -4  4  2 -2 19-
Curve Equation t 13680bg1 [0,0,0,3237,-320438] 2 13680bg2 [0,0,0,-55083,-4647782] 4 13680bg3 [0,0,0,-865083,-309693782] 2 13680bg4 [0,0,0,-178203,23448202] 2
13680bh (4 curves)	2	2- 3- 5+ 19-	2- 3- 5+ -4 -4 -2  2 19-
Curve Equation t Generators 13680bh1 [0,0,0,-1443,36002] 2 [-41:162:1]&[7:162:1] 13680bh2 [0,0,0,-27363,1741538] 4 [-31:1600:1]&[-1:1330:1] 13680bh3 [0,0,0,-31683,1154882] 2 [-137:1710:1]&[-119:1800:1] 13680bh4 [0,0,0,-437763,111482498] 2 [383:34:1]&[431:1694:1]
13680bi (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  2  4  0  2 19+
Curve Equation t 13680bi1 [0,0,0,-30432,2043331] 2 13680bi2 [0,0,0,-31287,1922434] 2
13680bj (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  2  4 -6 -4 19+
Curve Equation t 13680bj1 [0,0,0,-11307,-1623206] 2 13680bj2 [0,0,0,-287787,-59296934] 2
13680bk (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  2 -4 -4 -6 19+
Curve Equation t 13680bk1 [0,0,0,-72,-81] 2 13680bk2 [0,0,0,-927,-10854] 2
13680bl (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  2 -6  0  6 19+
Curve Equation t 13680bl1 [0,0,0,2733,-2734] 2 13680bl2 [0,0,0,-10947,-21886] 2
13680bm (4 curves)	0	2- 3- 5- 19+	2- 3- 5- -2  0 -4 -6 19+
Curve Equation t 13680bm1 [0,0,0,-10992,443531] 2 13680bm2 [0,0,0,-11847,370514] 2 13680bm3 [0,0,0,-23952,-778921] 2 13680bm4 [0,0,0,-332607,-73806694] 2
13680bn (2 curves)	0	2- 3- 5- 19+	2- 3- 5- -2 -4  6 -4 19+
Curve Equation t 13680bn1 [0,0,0,-209667,-37122046] 2 13680bn2 [0,0,0,-3358947,-2369478814] 2
13680bo (4 curves)	0	2- 3- 5- 19+	2- 3- 5- -2  6 -4  6 19+
Curve Equation t 13680bo1 [0,0,0,-3725427,2793064754] 2 13680bo2 [0,0,0,-59758707,177807411506] 2 13680bo3 [0,0,0,12310413,14539151666] 2 13680bo4 [0,0,0,-66705267,133900237874] 2
13680bp (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  4  2  6  2 19+
Curve Equation t 13680bp1 [0,0,0,168,-169] 2 13680bp2 [0,0,0,-687,-1366] 2
13680bq (1 curve)	0	2- 3- 5- 19+	2- 3- 5-  5 -4 -1  3 19+
Curve Equation t 13680bq1 [0,0,0,-6867,233874] 1
13680br (4 curves)	1	2- 3- 5- 19-	2- 3- 5-  0  4  2 -2 19-
Curve Equation t Generators 13680br1 [0,0,0,-4467,114226] 2 [47:90:1] 13680br2 [0,0,0,-7347,-51086] 4 [-55:432:1] 13680br3 [0,0,0,-89427,-10278254] 2 [-169:90:1] 13680br4 [0,0,0,28653,-403886] 2 [33:760:1]
13680bs (1 curve)	1	2- 3- 5- 19-	2- 3- 5-  1  0 -3  7 19-
Curve Equation t Generators 13680bs1 [0,0,0,213,2266] 1 [-3:40:1]
13680bt (2 curves)	1	2- 3- 5- 19-	2- 3- 5-  2  0 -4  2 19-
Curve Equation t Generators 13680bt1 [0,0,0,-192,-781] 2 [615:2204:27] 13680bt2 [0,0,0,-1047,12386] 2 [10:54:1]
13680bu (2 curves)	1	2- 3- 5- 19-	2- 3- 5-  2 -2 -4 -2 19-
Curve Equation t Generators 13680bu1 [0,0,0,213,-30566] 2 [53:360:1] 13680bu2 [0,0,0,-13467,-585974] 2 [-73:90:1]
13680bv (2 curves)	1	2- 3- 5- 19-	2- 3- 5- -2  0  6 -2 19-
Curve Equation t Generators 13680bv1 [0,0,0,-8292,271051] 2 [117:950:1] 13680bv2 [0,0,0,7953,1203514] 2 [98:1710:1]
13680bw (2 curves)	1	2- 3- 5- 19-	2- 3- 5- -2 -6  0 -2 19-
Curve Equation t Generators 13680bw1 [0,0,0,-14187,713626] 2 [-25:1026:1] 13680bw2 [0,0,0,-233067,43307674] 2 [263:450:1]
13680bx (4 curves)	1	2- 3- 5- 19-	2- 3- 5- -4  0  2  2 19-
Curve Equation t Generators 13680bx1 [0,0,0,529413,-889851094] 2 [74797080:5536054529:13824] 13680bx2 [0,0,0,-11267067,-13788122326] 4 [-46734:620540:27] 13680bx3 [0,0,0,-177615867,-911106819286] 2 [-2525925090:506074652:328509] 13680bx4 [0,0,0,-33661947,58041215786] 4 [-3113:364230:1]

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