Cremona's table of elliptic curves

25311 = 3 · 11 · 13 · 59

Class	r	Atkin-Lehner	Eigenvalues
25311a (4 curves)	0	3+ 11+ 13+ 59-	1 3+ -2  4 11+ 13+  2 -8
Curve Equation t 25311a1 [1,1,0,104,-221] 2 25311a2 [1,1,0,-501,-2520] 4 25311a3 [1,1,0,-3746,85095] 2 25311a4 [1,1,0,-6936,-225171] 2
25311b (1 curve)	1	3+ 11- 13+ 59-	0 3+ -1 -2 11- 13+  8  2
Curve Equation t Generators 25311b1 [0,-1,1,-21,35] 1 [5:5:1]
25311c (1 curve)	1	3+ 11- 13- 59+	2 3+  3  0 11- 13-  2 -8
Curve Equation t Generators 25311c1 [0,-1,1,-169254,-26743807] 1 [4042:32457:8]
25311d (2 curves)	0	3- 11+ 13+ 59+	1 3-  2 -2 11+ 13+ -4 -6
Curve Equation t 25311d1 [1,0,1,-1535,-22579] 2 25311d2 [1,0,1,-24350,-1464487] 2
25311e (1 curve)	1	3- 11+ 13- 59+	2 3-  1  0 11+ 13-  0  2
Curve Equation t Generators 25311e1 [0,1,1,-502650,-137275297] 1 [-3222:77:8]
25311f (2 curves)	0	3- 11+ 13- 59-	0 3- -3  2 11+ 13- -6  8
Curve Equation t 25311f1 [0,1,1,-230627,42552992] 3 25311f2 [0,1,1,-281957,22171265] 1
25311g (1 curve)	2	3- 11- 13- 59+	-2 3- -3 -4 11- 13- -4 -2
Curve Equation t Generators 25311g1 [0,1,1,-3112,57262] 1 [-58:214:1]&[-19:331:1]

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

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