Cremona's table of elliptic curves

55278 = 2 · 3² · 37 · 83

Class	r	Atkin-Lehner	Eigenvalues
55278a (2 curves)	2	2+ 3- 37+ 83+	2+ 3- -2 -4 -4 -2 -4  4
Curve Equation t Generators 55278a1 [1,-1,0,432,0] 2 [6:141:8]&[9:63:1] 55278a2 [1,-1,0,-1728,1296] 2 [-36:144:1]&[-27:180:1]
55278b (1 curve)	1	2+ 3- 37- 83+	2+ 3-  1 -4  4 -3  4  2
Curve Equation t Generators 55278b1 [1,-1,0,-279,-419] 1 [-10:41:1]
55278c (1 curve)	1	2+ 3- 37- 83+	2+ 3- -1  2  0  5 -6  2
Curve Equation t Generators 55278c1 [1,-1,0,-27090,1722964] 1 [95:-43:1]
55278d (4 curves)	0	2+ 3- 37- 83-	2+ 3-  2  0 -4 -2 -6  4
Curve Equation t 55278d1 [1,-1,0,-110016,-14266368] 2 55278d2 [1,-1,0,-1768896,-905084928] 4 55278d3 [1,-1,0,-1777536,-895790016] 4 55278d4 [1,-1,0,-28302336,-57946674240] 2
55278e (2 curves)	1	2- 3- 37+ 83+	2- 3-  2  0  0 -2  0  2
Curve Equation t Generators 55278e1 [1,-1,1,-2894,25373] 2 [-9:229:1] 55278e2 [1,-1,1,10426,185213] 2 [139:2005:1]
55278f (2 curves)	1	2- 3- 37+ 83+	2- 3-  2 -4  4 -6  0  4
Curve Equation t Generators 55278f1 [1,-1,1,-132082124,644078475983] 2 [36798:2908307:8] 55278f2 [1,-1,1,-2172815564,38983745759951] 2 [3221505:-41746639:125]
55278g (1 curve)	0	2- 3- 37+ 83-	2- 3-  1  4  6 -3  2  0
Curve Equation t 55278g1 [1,-1,1,-704327,57434447] 1
55278h (1 curve)	1	2- 3- 37- 83-	2- 3-  2  0 -1  1 -3 -2
Curve Equation t Generators 55278h1 [1,-1,1,-194,-7999] 1 [33:127:1]
55278i (2 curves)	1	2- 3- 37- 83-	2- 3- -3  2  0 -1 -6  2
Curve Equation t Generators 55278i1 [1,-1,1,-914,-8971] 1 [81:-707:1] 55278i2 [1,-1,1,-19229,1029989] 3 [111:448:1]

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

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