Cremona's table of elliptic curves

4774 = 2 · 7 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
4774a (1 curve)	0	2+ 7+ 11+ 31-	2+  1 -2 7+ 11+ -6  0  1
Curve Equation t 4774a1 [1,0,1,-3802,-90884] 1
4774b (2 curves)	1	2+ 7- 11+ 31-	2+  2 -4 7- 11+  0  2  6
Curve Equation t Generators 4774b1 [1,1,0,-182,3860] 2 [52:346:1] 4774b2 [1,1,0,-5022,134540] 2 [-31:527:1]
4774c (2 curves)	1	2+ 7- 11- 31+	2+ -2  0 7- 11-  4  2  2
Curve Equation t Generators 4774c1 [1,0,1,-1151,21330] 2 [-30:185:1] 4774c2 [1,0,1,-20511,1128722] 2 [80:-2:1]
4774d (2 curves)	0	2+ 7- 11- 31-	2+  2 -2 7- 11-  6  4  0
Curve Equation t 4774d1 [1,1,0,-1116,17360] 2 4774d2 [1,1,0,-19036,1002960] 2
4774e (4 curves)	0	2+ 7- 11- 31-	2+ -2  0 7- 11- -4 -6  2
Curve Equation t 4774e1 [1,0,1,-75579736,252975529254] 6 4774e2 [1,0,1,-1209378776,16187840757030] 6 4774e3 [1,0,1,44842489,955330828746] 2 4774e4 [1,0,1,-1223934471,15778198297034] 2
4774f (1 curve)	0	2+ 7- 11- 31-	2+  3  0 7- 11- -4 -6  7
Curve Equation t 4774f1 [1,-1,0,-7,-7] 1
4774g (1 curve)	0	2- 7+ 11+ 31+	2-  1 -3 7+ 11+  4  2 -2
Curve Equation t 4774g1 [1,0,0,273,-5752519] 1
4774h (1 curve)	1	2- 7+ 11- 31+	2-  1  1 7+ 11-  0 -6 -6
Curve Equation t Generators 4774h1 [1,0,0,1135,5033] 1 [74:667:1]
4774i (1 curve)	1	2- 7+ 11- 31+	2- -1  2 7+ 11- -2 -4  5
Curve Equation t Generators 4774i1 [1,1,1,98,219] 1 [-1:11:1]
4774j (2 curves)	1	2- 7- 11- 31-	2- -1  1 7- 11- -6 -2  0
Curve Equation t Generators 4774j1 [1,1,1,-249690,47919079] 5 [-551:4587:1] 4774j2 [1,1,1,596750,254759559] 1 [4319:286667:1]
4774k (2 curves)	1	2- 7- 11- 31-	2- -1 -4 7- 11-  4 -2 -5
Curve Equation t Generators 4774k1 [1,1,1,-515,5601] 5 [-23:88:1] 4774k2 [1,1,1,-3735,-555239] 1 [143:1292:1]
4774l (1 curve)	1	2- 7- 11- 31-	2- -3 -3 7- 11- -2 -6  4
Curve Equation t Generators 4774l1 [1,-1,1,-54,357] 1 [19:-87:1]

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