Cremona's table of elliptic curves

88920 = 2³ · 3² · 5 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
88920a (1 curve)	1	2+ 3+ 5+ 13+ 19+	2+ 3+ 5+ -3 -1 13+  0 19+
Curve Equation t Generators 88920a1 [0,0,0,-127683,17708382] 1 [306:2700:1]
88920b (1 curve)	0	2+ 3+ 5+ 13- 19+	2+ 3+ 5+  2 -5 13-  3 19+
Curve Equation t 88920b1 [0,0,0,-28323,2273022] 1
88920c (2 curves)	1	2+ 3+ 5+ 13- 19-	2+ 3+ 5+  0  4 13-  0 19-
Curve Equation t Generators 88920c1 [0,0,0,-1998,32697] 2 [121:1250:1] 88920c2 [0,0,0,1377,131922] 2 [-29:260:1]
88920d (1 curve)	1	2+ 3+ 5- 13+ 19-	2+ 3+ 5-  3 -1 13+  7 19-
Curve Equation t Generators 88920d1 [0,0,0,-87372,22721364] 1 [-42:5130:1]
88920e (2 curves)	1	2+ 3+ 5- 13+ 19-	2+ 3+ 5- -4  0 13+  4 19-
Curve Equation t Generators 88920e1 [0,0,0,378,5489] 2 [8:-95:1] 88920e2 [0,0,0,-3327,62546] 2 [-53:300:1]
88920f (2 curves)	0	2+ 3+ 5- 13- 19-	2+ 3+ 5-  0  0 13-  8 19-
Curve Equation t 88920f1 [0,0,0,-11620332582,482143094159881] 2 88920f2 [0,0,0,-11620332207,482143126834306] 2
88920g (4 curves)	1	2+ 3- 5+ 13- 19+	2+ 3- 5+ -4 -4 13- -2 19+
Curve Equation t Generators 88920g1 [0,0,0,537,-102598] 2 [82:702:1] 88920g2 [0,0,0,-29883,-1933882] 4 [-89:144:1] 88920g3 [0,0,0,-72003,4729502] 2 [262:1962:1] 88920g4 [0,0,0,-474483,-125799442] 2 [2518:121014:1]
88920h (2 curves)	1	2+ 3- 5+ 13- 19+	2+ 3- 5+ -4 -4 13-  4 19+
Curve Equation t Generators 88920h1 [0,0,0,-183,-7958] 2 [59:432:1] 88920h2 [0,0,0,-7203,-234002] 2 [-49:36:1]
88920i (6 curves)	0	2+ 3- 5+ 13- 19-	2+ 3- 5+  0 -4 13- -2 19-
Curve Equation t 88920i1 [0,0,0,-352218,-80457167] 2 88920i2 [0,0,0,-355863,-78706838] 4 88920i3 [0,0,0,170637,-291728738] 2 88920i4 [0,0,0,-940683,246336118] 4 88920i5 [0,0,0,2527197,1639730302] 2 88920i6 [0,0,0,-13765683,19655691118] 2
88920j (2 curves)	0	2+ 3- 5+ 13- 19-	2+ 3- 5+  2  0 13-  0 19-
Curve Equation t 88920j1 [0,0,0,-11883,-539242] 2 88920j2 [0,0,0,-194403,-32991298] 2
88920k (1 curve)	0	2+ 3- 5+ 13- 19-	2+ 3- 5+  2  6 13-  3 19-
Curve Equation t 88920k1 [0,0,0,-1033743,-1204252333] 1
88920l (1 curve)	0	2+ 3- 5+ 13- 19-	2+ 3- 5+ -3 -2 13-  4 19-
Curve Equation t 88920l1 [0,0,0,-4863,-1739662] 1
88920m (1 curve)	1	2+ 3- 5- 13+ 19+	2+ 3- 5-  2 -2 13+  3 19+
Curve Equation t Generators 88920m1 [0,0,0,-102387,-18396641] 1 [443:4815:1]
88920n (4 curves)	1	2+ 3- 5- 13+ 19+	2+ 3- 5- -4  4 13+ -6 19+
Curve Equation t Generators 88920n1 [0,0,0,-1362,-12431] 2 [-15:68:1] 88920n2 [0,0,0,-8967,317626] 4 [-33:760:1] 88920n3 [0,0,0,2733,1087486] 2 [230:3726:1] 88920n4 [0,0,0,-142347,20671414] 2 [143:1800:1]
88920o (4 curves)	0	2+ 3- 5- 13+ 19-	2+ 3- 5-  0  4 13+ -6 19-
Curve Equation t 88920o1 [0,0,0,-11127,-451766] 2 88920o2 [0,0,0,-11307,-436394] 4 88920o3 [0,0,0,9213,-1844066] 2 88920o4 [0,0,0,-34707,1955086] 2
88920p (4 curves)	0	2+ 3- 5- 13+ 19-	2+ 3- 5-  4  4 13+ -6 19-
Curve Equation t 88920p1 [0,0,0,-66882,601481] 2 88920p2 [0,0,0,-770007,259492106] 4 88920p3 [0,0,0,-477507,458918606] 2 88920p4 [0,0,0,-12312507,16629065606] 2
88920q (1 curve)	0	2+ 3- 5- 13+ 19-	2+ 3- 5-  5 -3 13+ -2 19-
Curve Equation t 88920q1 [0,0,0,-147,24014] 1
88920r (4 curves)	1	2+ 3- 5- 13- 19-	2+ 3- 5-  0  0 13-  2 19-
Curve Equation t Generators 88920r1 [0,0,0,1518,-131159] 2 [228360:4837567:512] 88920r2 [0,0,0,-31287,-2014166] 4 [1790:75348:1] 88920r3 [0,0,0,-94467,8688526] 4 [-138:4370:1] 88920r4 [0,0,0,-492987,-133229306] 2 [22486870:883147356:12167]
88920s (1 curve)	1	2+ 3- 5- 13- 19-	2+ 3- 5- -3 -6 13-  8 19-
Curve Equation t Generators 88920s1 [0,0,0,-152382,-23072519] 1 [612:10625:1]
88920t (1 curve)	1	2- 3+ 5+ 13+ 19-	2- 3+ 5+  3  1 13+ -7 19-
Curve Equation t Generators 88920t1 [0,0,0,-9708,-841532] 1 [128:114:1]
88920u (2 curves)	1	2- 3+ 5+ 13+ 19-	2- 3+ 5+ -4  0 13+ -4 19-
Curve Equation t Generators 88920u1 [0,0,0,3402,-148203] 2 [46:325:1] 88920u2 [0,0,0,-29943,-1688742] 2 [-93:540:1]
88920v (2 curves)	0	2- 3+ 5+ 13- 19-	2- 3+ 5+  0  0 13- -8 19-
Curve Equation t 88920v1 [0,0,0,-104582993238,-13017863542316787] 2 88920v2 [0,0,0,-104582989863,-13017864424526262] 2
88920w (1 curve)	1	2- 3+ 5- 13+ 19+	2- 3+ 5- -3  1 13+  0 19+
Curve Equation t Generators 88920w1 [0,0,0,-14187,-655866] 1 [138:120:1]
88920x (1 curve)	0	2- 3+ 5- 13- 19+	2- 3+ 5-  2  5 13- -3 19+
Curve Equation t 88920x1 [0,0,0,-3147,-84186] 1
88920y (2 curves)	1	2- 3+ 5- 13- 19-	2- 3+ 5-  0 -4 13-  0 19-
Curve Equation t Generators 88920y1 [0,0,0,-222,-1211] 2 [-10:3:1] 88920y2 [0,0,0,153,-4886] 2 [33:-190:1]
88920z (1 curve)	1	2- 3- 5+ 13+ 19+	2- 3- 5+  2  2 13+ -5 19+
Curve Equation t Generators 88920z1 [0,0,0,-53343,4768767] 1 [141:225:1]
88920ba (1 curve)	1	2- 3- 5+ 13+ 19+	2- 3- 5+ -2  2 13+  7 19+
Curve Equation t Generators 88920ba1 [0,0,0,-678506943,-6802672688633] 1 [1650075497898164234086723872850369:221706734966281818760401262730109375:41716353774370230719106623909]
88920bb (2 curves)	1	2- 3- 5+ 13+ 19+	2- 3- 5+ -2 -4 13+ -2 19+
Curve Equation t Generators 88920bb1 [0,0,0,4317,210382] 2 [2:468:1] 88920bb2 [0,0,0,-37803,2392198] 2 [218:2124:1]
88920bc (2 curves)	0	2- 3- 5+ 13+ 19-	2- 3- 5+  0  4 13+ -4 19-
Curve Equation t 88920bc1 [0,0,0,-704703,235491298] 2 88920bc2 [0,0,0,-11382123,14780272822] 2
88920bd (1 curve)	0	2- 3- 5+ 13+ 19-	2- 3- 5+  0  6 13+  3 19-
Curve Equation t 88920bd1 [0,0,0,22317,130907] 1
88920be (1 curve)	0	2- 3- 5+ 13+ 19-	2- 3- 5+  4 -3 13+ -5 19-
Curve Equation t 88920be1 [0,0,0,1797,-13322] 1
88920bf (4 curves)	2	2- 3- 5+ 13+ 19-	2- 3- 5+ -4 -4 13+  2 19-
Curve Equation t Generators 88920bf1 [0,0,0,-2298,42253] 2 [-46:225:1]&[17:90:1] 88920bf2 [0,0,0,-3423,-3422] 4 [-49:216:1]&[-39:266:1] 88920bf3 [0,0,0,13677,-27362] 2 [51:896:1]&[83:1296:1] 88920bf4 [0,0,0,-38523,-2902682] 2 [-114:86:1]&[-109:36:1]
88920bg (4 curves)	0	2- 3- 5+ 13+ 19-	2- 3- 5+ -4 -4 13+  6 19-
Curve Equation t 88920bg1 [0,0,0,-237531018,-255542565067] 2 88920bg2 [0,0,0,-2354595663,43737484170962] 4 88920bg3 [0,0,0,-965648163,94899920912462] 2 88920bg4 [0,0,0,-37616577483,2808128758535318] 2
88920bh (1 curve)	0	2- 3- 5+ 13+ 19-	2- 3- 5+ -5  2 13+  0 19-
Curve Equation t 88920bh1 [0,0,0,42,-907] 1
88920bi (1 curve)	0	2- 3- 5+ 13- 19+	2- 3- 5+  1 -4 13-  8 19+
Curve Equation t 88920bi1 [0,0,0,9357,322558] 1
88920bj (1 curve)	2	2- 3- 5+ 13- 19+	2- 3- 5+ -2  2 13- -7 19+
Curve Equation t Generators 88920bj1 [0,0,0,-183,-5393] 1 [21:5:1]&[29:117:1]
88920bk (1 curve)	0	2- 3- 5+ 13- 19+	2- 3- 5+  4  5 13- -7 19+
Curve Equation t 88920bk1 [0,0,0,-4010763,-3092048282] 1
88920bl (1 curve)	0	2- 3- 5+ 13- 19+	2- 3- 5+ -5  5 13-  5 19+
Curve Equation t 88920bl1 [0,0,0,-4196388,-3387414188] 1
88920bm (1 curve)	0	2- 3- 5- 13+ 19+	2- 3- 5- -3 -2 13+  0 19+
Curve Equation t 88920bm1 [0,0,0,-30222,-14797539] 1
88920bn (1 curve)	1	2- 3- 5- 13+ 19-	2- 3- 5- -2  2 13+ -3 19-
Curve Equation t Generators 88920bn1 [0,0,0,-4107,101819] 1 [13:225:1]
88920bo (2 curves)	1	2- 3- 5- 13+ 19-	2- 3- 5- -2 -4 13+  0 19-
Curve Equation t Generators 88920bo1 [0,0,0,-102387,-15635266] 2 [763:18720:1] 88920bo2 [0,0,0,-1745067,-887241274] 2 [4942:333450:1]
88920bp (1 curve)	1	2- 3- 5- 13+ 19-	2- 3- 5-  3 -2 13+ -4 19-
Curve Equation t Generators 88920bp1 [0,0,0,-55767,-5069126] 1 [273:230:1]
88920bq (1 curve)	1	2- 3- 5- 13+ 19-	2- 3- 5- -4  2 13+  3 19-
Curve Equation t Generators 88920bq1 [0,0,0,2733,579251] 1 [37:-855:1]
88920br (1 curve)	1	2- 3- 5- 13- 19+	2- 3- 5- -1  2 13-  0 19+
Curve Equation t Generators 88920br1 [0,0,0,153,-54] 1 [1:10:1]
88920bs (1 curve)	1	2- 3- 5- 13- 19+	2- 3- 5- -1  3 13-  7 19+
Curve Equation t Generators 88920bs1 [0,0,0,348,4916] 1 [25:171:1]
88920bt (1 curve)	1	2- 3- 5- 13- 19+	2- 3- 5- -4  6 13- -5 19+
Curve Equation t Generators 88920bt1 [0,0,0,-45327,-3720121] 1 [433:-7605:1]
88920bu (1 curve)	0	2- 3- 5- 13- 19-	2- 3- 5-  3 -4 13-  0 19-
Curve Equation t 88920bu1 [0,0,0,-867,9934] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations