Cremona's table of elliptic curves

84816 = 2⁴ · 3² · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
84816a (2 curves)	0	2+ 3+ 19+ 31-	2+ 3+  0  0  4 -2 -2 19+
Curve Equation t 84816a1 [0,0,0,-264870,54648783] 2 84816a2 [0,0,0,-4286655,3416056686] 2
84816b (2 curves)	0	2+ 3+ 19+ 31-	2+ 3+  0  0 -4 -2  2 19+
Curve Equation t 84816b1 [0,0,0,-29430,-2024029] 2 84816b2 [0,0,0,-476295,-126520618] 2
84816c (2 curves)	0	2+ 3- 19+ 31+	2+ 3- -2  0 -6  6  0 19+
Curve Equation t 84816c1 [0,0,0,4794,64519] 2 84816c2 [0,0,0,-21711,546910] 2
84816d (2 curves)	1	2+ 3- 19+ 31-	2+ 3- -2 -4 -6  4  2 19+
Curve Equation t Generators 84816d1 [0,0,0,609,-3170] 2 [14:90:1] 84816d2 [0,0,0,-2811,-27110] 2 [-37:162:1]
84816e (4 curves)	1	2+ 3- 19- 31+	2+ 3-  2  0  4  2  2 19-
Curve Equation t Generators 84816e1 [0,0,0,-1794,-29225] 2 [8302305:12352676:166375] 84816e2 [0,0,0,-2199,-15050] 4 [17745:198968:125] 84816e3 [0,0,0,8061,-115598] 2 [5495910:74557274:42875] 84816e4 [0,0,0,-18939,992698] 4 [-61:1386:1]
84816f (1 curve)	2	2+ 3- 19- 31-	2+ 3-  0  1 -2 -5 -7 19-
Curve Equation t Generators 84816f1 [0,0,0,35565,-3902222] 1 [117:1364:1]&[303:5890:1]
84816g (1 curve)	0	2+ 3- 19- 31-	2+ 3-  1  3  5  4  3 19-
Curve Equation t 84816g1 [0,0,0,1794228,1292855852] 1
84816h (2 curves)	0	2+ 3- 19- 31-	2+ 3- -2  0  2 -2  0 19-
Curve Equation t 84816h1 [0,0,0,-637806,-196056385] 2 84816h2 [0,0,0,-636591,-196840546] 2
84816i (1 curve)	0	2+ 3- 19- 31-	2+ 3- -3 -1  3  2 -3 19-
Curve Equation t 84816i1 [0,0,0,-1044,-13284] 1
84816j (2 curves)	1	2- 3+ 19+ 31-	2- 3+  4  0  2 -6  0 19+
Curve Equation t Generators 84816j1 [0,0,0,-14163,338450] 2 [-50:960:1] 84816j2 [0,0,0,47277,2488850] 2 [25:1920:1]
84816k (2 curves)	1	2- 3+ 19+ 31-	2- 3+ -4  0 -2 -6  0 19+
Curve Equation t Generators 84816k1 [0,0,0,-127467,-9138150] 2 [-102:1674:1] 84816k2 [0,0,0,425493,-67198950] 2 [181:3968:1]
84816l (2 curves)	0	2- 3- 19+ 31-	2- 3-  2 -4 -4  2  0 19+
Curve Equation t 84816l1 [0,0,0,-32844,2463847] 2 84816l2 [0,0,0,-536439,151225810] 2
84816m (2 curves)	0	2- 3- 19+ 31-	2- 3- -2  0  2  6 -6 19+
Curve Equation t 84816m1 [0,0,0,-7350456,7945481999] 2 84816m2 [0,0,0,-118774911,498235368890] 2
84816n (2 curves)	0	2- 3- 19+ 31-	2- 3- -2  0 -4 -6  6 19+
Curve Equation t 84816n1 [0,0,0,-1731,-32830] 2 84816n2 [0,0,0,-29091,-1909726] 2
84816o (1 curve)	2	2- 3- 19- 31+	2- 3-  1 -5  3 -6 -7 19-
Curve Equation t Generators 84816o1 [0,0,0,-9912,-612308] 1 [146:1026:1]&[162:1426:1]
84816p (2 curves)	0	2- 3- 19- 31+	2- 3- -2  4  0  0  2 19-
Curve Equation t 84816p1 [0,0,0,-43176,-1534709] 2 84816p2 [0,0,0,-351831,79271170] 2
84816q (2 curves)	0	2- 3- 19- 31+	2- 3- -2  4 -6  0  2 19-
Curve Equation t 84816q1 [0,0,0,-1316091,-582382550] 2 84816q2 [0,0,0,-21070011,-37225904150] 2
84816r (2 curves)	0	2- 3- 19- 31+	2- 3- -2 -4 -2  4 -6 19-
Curve Equation t 84816r1 [0,0,0,9429,15193690] 2 84816r2 [0,0,0,-866091,303239770] 2
84816s (2 curves)	0	2- 3- 19- 31+	2- 3- -2 -4  4  4  6 19-
Curve Equation t 84816s1 [0,0,0,-336,2171] 2 84816s2 [0,0,0,-1191,-13390] 2
84816t (1 curve)	0	2- 3- 19- 31+	2- 3- -2  5  4 -5  3 19-
Curve Equation t 84816t1 [0,0,0,1869,6514] 1
84816u (1 curve)	1	2- 3- 19- 31-	2- 3-  1  3 -1  2 -3 19-
Curve Equation t Generators 84816u1 [0,0,0,-783912,1985627932] 1 [9926:985986:1]
84816v (1 curve)	1	2- 3- 19- 31-	2- 3-  2 -3  0 -1  3 19-
Curve Equation t Generators 84816v1 [0,0,0,-134739,-19074798] 1 [4366:287432:1]
84816w (2 curves)	1	2- 3- 19- 31-	2- 3- -2  0  2 -4 -6 19-
Curve Equation t Generators 84816w1 [0,0,0,-2128611,1366935010] 2 [1367:31806:1] 84816w2 [0,0,0,-35398371,81061318114] 2 [911:222642:1]

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