Cremona's table of elliptic curves

84912 = 2⁴ · 3 · 29 · 61

Class	r	Atkin-Lehner	Eigenvalues
84912a (1 curve)	1	2+ 3+ 29+ 61+	2+ 3+ -1 -2 -2  2  3 -6
Curve Equation t Generators 84912a1 [0,-1,0,-456,-3696] 1 [32:116:1]
84912b (1 curve)	1	2+ 3+ 29+ 61+	2+ 3+  2 -2 -2  5  6  0
Curve Equation t Generators 84912b1 [0,-1,0,-21627,-1303938] 1 [17128928943003184762:396128412264388913108:29675541180448799]
84912c (2 curves)	1	2+ 3+ 29- 61-	2+ 3+  4  0 -4  2  2  4
Curve Equation t Generators 84912c1 [0,-1,0,-60096,-7263792] 2 [74803960:-3090469796:42875] 84912c2 [0,-1,0,-1035656,-405292272] 2 [-73120:18676:125]
84912d (1 curve)	2	2+ 3- 29+ 61+	2+ 3- -1 -3  3 -1 -4 -6
Curve Equation t Generators 84912d1 [0,1,0,-5096,141156] 1 [40:-54:1]&[-32:522:1]
84912e (1 curve)	0	2+ 3- 29+ 61+	2+ 3-  2  2 -2 -3  2 -4
Curve Equation t 84912e1 [0,1,0,28,12] 1
84912f (1 curve)	1	2+ 3- 29+ 61-	2+ 3-  0  1 -5  1  3  0
Curve Equation t Generators 84912f1 [0,1,0,-148908,-133367625] 1 [11301:1200663:1]
84912g (1 curve)	1	2+ 3- 29+ 61-	2+ 3-  0  2  6  5  0 -6
Curve Equation t Generators 84912g1 [0,1,0,57,360] 1 [12:54:1]
84912h (1 curve)	1	2+ 3- 29+ 61-	2+ 3- -1 -1 -2  2  7  7
Curve Equation t Generators 84912h1 [0,1,0,29424,-1878732] 1 [948:29646:1]
84912i (1 curve)	1	2+ 3- 29+ 61-	2+ 3- -4  2 -2  5  4 -2
Curve Equation t Generators 84912i1 [0,1,0,-9998815,-12172782496] 1 [3838626663172048786067845344711988:1030094646793185296025182470165023162:53202292645843480456542721553]
84912j (1 curve)	1	2+ 3- 29- 61+	2+ 3-  4 -5  3  1 -5 -8
Curve Equation t Generators 84912j1 [0,1,0,-16,107] 1 [111:305:27]
84912k (1 curve)	0	2- 3+ 29+ 61+	2- 3+ -1  3  0  4 -1 -5
Curve Equation t 84912k1 [0,-1,0,7104,-1184256] 1
84912l (1 curve)	0	2- 3+ 29+ 61+	2- 3+ -1  3 -2 -6  1  5
Curve Equation t 84912l1 [0,-1,0,-61096,10919152] 1
84912m (1 curve)	0	2- 3+ 29+ 61+	2- 3+ -1 -3  3 -5 -4 -2
Curve Equation t 84912m1 [0,-1,0,-882336,-318728448] 1
84912n (1 curve)	0	2- 3+ 29+ 61+	2- 3+ -1 -3 -5 -3  4  8
Curve Equation t 84912n1 [0,-1,0,-20916,-1157796] 1
84912o (2 curves)	1	2- 3+ 29+ 61-	2- 3+  3 -2 -6  2 -3 -2
Curve Equation t Generators 84912o1 [0,-1,0,-631824,-193094208] 1 [3426488:112299136:2197] 84912o2 [0,-1,0,-560784,-238244928] 1 [2119208:23803664:2197]
84912p (1 curve)	1	2- 3+ 29- 61+	2- 3+  0  2  2  1  4 -2
Curve Equation t Generators 84912p1 [0,-1,0,11392,-245952] 1 [144:2088:1]
84912q (1 curve)	1	2- 3+ 29- 61+	2- 3+  1 -1  0  0 -3  3
Curve Equation t Generators 84912q1 [0,-1,0,-1063080,-425127312] 1 [429254:4885978:343]
84912r (1 curve)	1	2- 3+ 29- 61+	2- 3+  3  1  3  5  0 -4
Curve Equation t Generators 84912r1 [0,-1,0,116,172] 1 [49:348:1]
84912s (1 curve)	1	2- 3+ 29- 61+	2- 3+ -3 -5  6  2  3  5
Curve Equation t Generators 84912s1 [0,-1,0,-78752,8532864] 1 [184:488:1]
84912t (2 curves)	0	2- 3+ 29- 61-	2- 3+  0  1 -3  5  3  4
Curve Equation t 84912t1 [0,-1,0,-2018,-35505] 1 84912t2 [0,-1,0,10162,-106149] 1
84912u (1 curve)	1	2- 3- 29+ 61+	2- 3-  1  2 -6  2  5 -6
Curve Equation t Generators 84912u1 [0,1,0,172720,-19349868] 1 [322:-8352:1]
84912v (1 curve)	1	2- 3- 29+ 61+	2- 3-  4  2  6 -7 -4 -6
Curve Equation t Generators 84912v1 [0,1,0,-250176,287713332] 1 [2058:92160:1]
84912w (1 curve)	0	2- 3- 29+ 61-	2- 3-  3  3 -2 -2 -1 -1
Curve Equation t 84912w1 [0,1,0,-19104,1049844] 1
84912x (1 curve)	0	2- 3- 29- 61+	2- 3-  1  1 -4  6 -3  1
Curve Equation t 84912x1 [0,1,0,-174800,-34745964] 1
84912y (1 curve)	0	2- 3- 29- 61+	2- 3-  3  3  1  7  0  2
Curve Equation t 84912y1 [0,1,0,3007416,-11218680972] 1
84912z (1 curve)	2	2- 3- 29- 61+	2- 3- -3 -3  4 -2 -3 -7
Curve Equation t Generators 84912z1 [0,1,0,-672,-45324] 1 [42:48:1]&[60:366:1]
84912ba (2 curves)	0	2- 3- 29- 61+	2- 3-  4  4 -4 -6 -6  4
Curve Equation t 84912ba1 [0,1,0,3704,7412] 2 84912ba2 [0,1,0,-14856,44532] 2
84912bb (1 curve)	1	2- 3- 29- 61-	2- 3-  0 -2  2  5  0 -6
Curve Equation t Generators 84912bb1 [0,1,0,-248,-1836] 1 [198:2784:1]
84912bc (1 curve)	1	2- 3- 29- 61-	2- 3-  0 -2 -2  1  4 -2
Curve Equation t Generators 84912bc1 [0,1,0,-12528,535572] 1 [66:24:1]
84912bd (1 curve)	1	2- 3- 29- 61-	2- 3-  1  3 -2 -2  5  7
Curve Equation t Generators 84912bd1 [0,1,0,-1960,2853812] 1 [-124:1098:1]
84912be (6 curves)	1	2- 3- 29- 61-	2- 3- -2  0  4 -2  2  4
Curve Equation t Generators 84912be1 [0,1,0,29456,4559060] 2 [261549264174:6965288501248:2253243231] 84912be2 [0,1,0,-298224,54759636] 4 [1428:2509254:343] 84912be3 [0,1,0,-1235184,-473311020] 2 [20837281388:-134825592846:16194277] 84912be4 [0,1,0,-4604144,3800910036] 8 [616820010:-8482778304:614125] 84912be5 [0,1,0,-4437104,4089621972] 4 [2947062046884060:-57833558657334174:2562916194125] 84912be6 [0,1,0,-73665904,243334718420] 4 [502330:-13814064:125]
84912bf (1 curve)	1	2- 3- 29- 61-	2- 3-  3 -2  2 -4  3  0
Curve Equation t Generators 84912bf1 [0,1,0,-20824,1761428] 1 [-124:1566:1]
84912bg (1 curve)	1	2- 3- 29- 61-	2- 3- -3  3 -4  0  7 -7
Curve Equation t Generators 84912bg1 [0,1,0,-251785632,1546423401204] 1 [5946:509472:1]

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