Cremona's table of elliptic curves

7227 = 3² · 11 · 73

Class	r	Atkin-Lehner	Eigenvalues
7227a (2 curves)	1	3+ 11+ 73+	-1 3+ -2  4 11+  2  8 -2
Curve Equation t Generators 7227a1 [1,-1,1,-461,3916] 2 [17:19:1] 7227a2 [1,-1,1,-596,1540] 2 [-7:76:1]
7227b (2 curves)	0	3+ 11- 73+	1 3+  2  4 11-  2 -8 -2
Curve Equation t 7227b1 [1,-1,0,-51,-128] 2 7227b2 [1,-1,0,-66,-35] 2
7227c (2 curves)	0	3- 11+ 73+	1 3-  4  2 11+ -2  4  0
Curve Equation t 7227c1 [1,-1,0,-1665,26568] 2 7227c2 [1,-1,0,-1800,22113] 2
7227d (1 curve)	0	3- 11+ 73+	2 3- -1 -2 11+ -2 -7  3
Curve Equation t 7227d1 [0,0,1,-510123,140909197] 1
7227e (4 curves)	1	3- 11+ 73-	1 3- -2 -4 11+  6  2  4
Curve Equation t Generators 7227e1 [1,-1,0,-1683,-26136] 2 [84:606:1] 7227e2 [1,-1,0,-2088,-12285] 4 [678:4809:8] 7227e3 [1,-1,0,-18423,958014] 4 [-42:1308:1] 7227e4 [1,-1,0,7767,-100980] 2 [671154:8156283:10648]
7227f (1 curve)	1	3- 11- 73+	2 3-  3 -4 11- -6  7 -7
Curve Equation t Generators 7227f1 [0,0,1,-291,-6021] 1 [226:725:8]
7227g (1 curve)	1	3- 11- 73+	-2 3- -1 -2 11-  2  1 -5
Curve Equation t Generators 7227g1 [0,0,1,-543,-8510] 1 [37:148:1]
7227h (1 curve)	0	3- 11- 73-	0 3-  1  2 11-  4 -3 -7
Curve Equation t 7227h1 [0,0,1,-1370172,627466414] 1

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

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