Cremona's table of elliptic curves

27768 = 2³ · 3 · 13 · 89

Class	r	Atkin-Lehner	Eigenvalues
27768a (1 curve)	0	2+ 3+ 13+ 89-	2+ 3+  1 -1  5 13+  0 -1
Curve Equation t 27768a1 [0,-1,0,-58300,5438068] 1
27768b (2 curves)	0	2+ 3+ 13+ 89-	2+ 3+ -2  2 -4 13+  6 -4
Curve Equation t 27768b1 [0,-1,0,-224,-1476] 2 27768b2 [0,-1,0,-3784,-88340] 2
27768c (1 curve)	0	2+ 3+ 13+ 89-	2+ 3+  3 -1  1 13+ -6 -1
Curve Equation t 27768c1 [0,-1,0,-130924,25960852] 1
27768d (1 curve)	1	2+ 3+ 13- 89-	2+ 3+ -3  3 -1 13-  0  5
Curve Equation t Generators 27768d1 [0,-1,0,448,-10116] 1 [34:208:1]
27768e (1 curve)	0	2+ 3- 13- 89-	2+ 3-  3  1  5 13- -2 -7
Curve Equation t 27768e1 [0,1,0,-44,-192] 1
27768f (1 curve)	2	2- 3+ 13+ 89+	2- 3+  0 -1  0 13+ -3 -5
Curve Equation t Generators 27768f1 [0,-1,0,-73,253] 1 [7:6:1]&[-1:18:1]
27768g (1 curve)	0	2- 3+ 13+ 89+	2- 3+  1 -3 -5 13+  8 -1
Curve Equation t 27768g1 [0,-1,0,-120,104988] 1
27768h (1 curve)	0	2- 3+ 13+ 89+	2- 3+ -3  1  3 13+ -4  3
Curve Equation t 27768h1 [0,-1,0,-872,-9924] 1
27768i (1 curve)	1	2- 3+ 13+ 89-	2- 3+ -2  3 -2 13+  5 -1
Curve Equation t Generators 27768i1 [0,-1,0,-4369,-62555] 1 [91:534:1]
27768j (1 curve)	1	2- 3- 13+ 89+	2- 3- -1  3 -5 13+  4  3
Curve Equation t Generators 27768j1 [0,1,0,44,-64] 1 [2:6:1]
27768k (1 curve)	1	2- 3- 13+ 89+	2- 3-  2 -3 -2 13+ -2 -6
Curve Equation t Generators 27768k1 [0,1,0,-703472,-228479712] 1 [18547:2523306:1]
27768l (1 curve)	0	2- 3- 13- 89+	2- 3- -1  3 -3 13- -4  5
Curve Equation t 27768l1 [0,1,0,-1736,28416] 1
27768m (1 curve)	2	2- 3- 13- 89+	2- 3- -3 -1 -3 13- -6 -5
Curve Equation t Generators 27768m1 [0,1,0,-52,416] 1 [2:18:1]&[-5:24:1]
27768n (1 curve)	1	2- 3- 13- 89-	2- 3- -4  0  0 13-  2 -4
Curve Equation t Generators 27768n1 [0,1,0,-6585,241659] 1 [369:6942:1]

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

Part of Computational Number Theory
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