Cremona's table of elliptic curves

6776 = 2³ · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
6776a (4 curves)	0	2+ 7+ 11-	2+  0 -2 7+ 11- -2  2  4
Curve Equation t 6776a1 [0,0,0,-3146,67881] 4 6776a2 [0,0,0,-3751,39930] 4 6776a3 [0,0,0,-30371,-2009810] 2 6776a4 [0,0,0,13189,300806] 2
6776b (1 curve)	2	2+ 7- 11+	2+ -3 -3 7- 11+ -4 -4 -8
Curve Equation t Generators 6776b1 [0,0,0,-1804,29524] 1 [-30:238:1]&[2574:111034:729]
6776c (4 curves)	1	2+ 7- 11-	2+  0  2 7- 11- -2  6 -8
Curve Equation t Generators 6776c1 [0,0,0,121,-2662] 2 [286:4840:1] 6776c2 [0,0,0,-2299,-39930] 4 [35970:601128:125] 6776c3 [0,0,0,-36179,-2648690] 2 [-1105689960:-28156715:10077696] 6776c4 [0,0,0,-7139,183678] 2 [-46:644:1]
6776d (1 curve)	0	2- 7+ 11+	2- -3 -3 7+ 11+  4  4  8
Curve Equation t 6776d1 [0,0,0,-218284,-39296444] 1
6776e (1 curve)	1	2- 7+ 11-	2- -1 -1 7+ 11-  0  2  2
Curve Equation t Generators 6776e1 [0,-1,0,-161,-261611] 1 [147:1694:1]
6776f (2 curves)	1	2- 7+ 11-	2-  2  2 7+ 11-  0 -4 -4
Curve Equation t Generators 6776f1 [0,-1,0,463148,-128760828] 2 [379362804:11942849314:658503] 6776f2 [0,-1,0,-2757872,-1235503300] 2 [63703604812668450:2245211518991421860:25202722668759]
6776g (2 curves)	1	2- 7+ 11-	2-  2 -4 7+ 11-  0  2  2
Curve Equation t Generators 6776g1 [0,-1,0,-40,5436] 2 [81:726:1] 6776g2 [0,-1,0,-4880,131276] 2 [170:1533:8]
6776h (2 curves)	1	2- 7+ 11-	2- -2  2 7+ 11- -4  0  4
Curve Equation t Generators 6776h1 [0,1,0,-1492,36672] 2 [-26:242:1] 6776h2 [0,1,0,-28112,1804240] 2 [88:140:1]
6776i (2 curves)	0	2- 7- 11-	2-  0  0 7- 11-  6  0  2
Curve Equation t 6776i1 [0,0,0,10285,-114466] 2 6776i2 [0,0,0,-42955,-934362] 2

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

Part of Computational Number Theory
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