Cremona's table of elliptic curves

2739 = 3 · 11 · 83

Class	r	Atkin-Lehner	Eigenvalues
2739a (2 curves)	1	3+ 11+ 83+	1 3+ -4  2 11+  2  4  8
Curve Equation t Generators 2739a1 [1,1,0,-2382,-45585] 2 [109110:12688365:8] 2739a2 [1,1,0,-3597,4230] 2 [30:400:27]
2739b (1 curve)	1	3+ 11+ 83+	2 3+  1  0 11+ -6  5 -7
Curve Equation t Generators 2739b1 [0,-1,1,-120,-475] 1 [3578:75557:8]
2739c (4 curves)	0	3+ 11+ 83-	1 3+ -2  0 11+ -6 -6  4
Curve Equation t 2739c1 [1,1,0,-171,-936] 2 2739c2 [1,1,0,-176,-885] 4 2739c3 [1,1,0,-671,5550] 4 2739c4 [1,1,0,239,-3956] 2
2739d (4 curves)	0	3+ 11- 83+	1 3+  2 -4 11-  2 -2 -4
Curve Equation t 2739d1 [1,1,0,-2379,38472] 2 2739d2 [1,1,0,-36824,2704515] 4 2739d3 [1,1,0,-589189,173827192] 2 2739d4 [1,1,0,-35579,2897490] 2
2739e (1 curve)	0	3+ 11- 83+	1 3+  4  1 11-  7  4 -6
Curve Equation t 2739e1 [1,1,0,-15538,10663105] 1
2739f (2 curves)	0	3+ 11- 83+	-1 3+  4  0 11-  0  2  2
Curve Equation t 2739f1 [1,1,1,-721,-7714] 2 2739f2 [1,1,1,-306,-16014] 2
2739g (1 curve)	1	3+ 11- 83-	0 3+  3 -2 11- -2 -3 -1
Curve Equation t Generators 2739g1 [0,-1,1,1,2] 1 [0:1:1]

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

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