Cremona's table of elliptic curves

56544 = 2⁵ · 3 · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
56544a (1 curve)	1	2+ 3+ 19+ 31+	2+ 3+ -3  3 -1  4 -3 19+
Curve Equation t Generators 56544a1 [0,-1,0,-244797,2956930101] 1 [-1325:30876:1]
56544b (1 curve)	1	2+ 3+ 19- 31-	2+ 3+ -3  1 -3 -4 -7 19-
Curve Equation t Generators 56544b1 [0,-1,0,-17517,-892251] 1 [975:30132:1]
56544c (1 curve)	2	2+ 3- 19+ 31+	2+ 3- -3 -1  3 -4 -7 19+
Curve Equation t Generators 56544c1 [0,1,0,-17517,892251] 1 [-138:837:1]&[-3:972:1]
56544d (1 curve)	1	2+ 3- 19+ 31-	2+ 3-  1  3 -1  4 -3 19+
Curve Equation t Generators 56544d1 [0,1,0,195,747] 1 [-3:12:1]
56544e (4 curves)	1	2+ 3- 19- 31+	2+ 3- -2 -4  0  6 -6 19-
Curve Equation t Generators 56544e1 [0,1,0,-1794,22176] 4 [-24:228:1] 56544e2 [0,1,0,4096,142332] 2 [7:414:1] 56544e3 [0,1,0,-9489,-339489] 2 [-51:120:1] 56544e4 [0,1,0,-26904,1689480] 4 [99:78:1]
56544f (4 curves)	1	2- 3+ 19+ 31-	2- 3+ -2  4  0  6 -6 19+
Curve Equation t Generators 56544f1 [0,-1,0,-1794,-22176] 4 [-21456:47600:729] 56544f2 [0,-1,0,4096,-142332] 2 [534246525:-4422686408:11390625] 56544f3 [0,-1,0,-9489,339489] 4 [-95:612:1] 56544f4 [0,-1,0,-26904,-1689480] 2 [31679670425:581187540024:76765625]
56544g (1 curve)	1	2- 3+ 19- 31+	2- 3+  1 -3  1  4 -3 19-
Curve Equation t Generators 56544g1 [0,-1,0,195,-747] 1 [23:124:1]
56544h (1 curve)	1	2- 3- 19- 31-	2- 3- -3 -3  1  4 -3 19-
Curve Equation t Generators 56544h1 [0,1,0,-244797,-2956930101] 1 [3153:-166212:1]

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

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