Cremona's table of elliptic curves

4576 = 2⁵ · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
4576a (4 curves)	1	2+ 11+ 13+	2+  0  2  4 11+ 13+ -6  4
Curve Equation t Generators 4576a1 [0,0,0,-49,-120] 4 [645:16380:1] 4576a2 [0,0,0,-764,-8128] 2 [221312:5616360:343] 4576a3 [0,0,0,-179,790] 2 [-15:10:1] 4576a4 [0,0,0,61,-582] 2 [268590:290718:42875]
4576b (1 curve)	1	2+ 11+ 13+	2+ -1  3  1 11+ 13+ -5  0
Curve Equation t Generators 4576b1 [0,-1,0,-144,-824] 1 [45:286:1]
4576c (1 curve)	1	2+ 11+ 13+	2+  3  1 -4 11+ 13+ -4 -2
Curve Equation t Generators 4576c1 [0,0,0,248,848] 1 [-24:676:27]
4576d (4 curves)	0	2+ 11- 13+	2+  0  2 -4 11- 13+ -6 -4
Curve Equation t 4576d1 [0,0,0,-49,120] 4 4576d2 [0,0,0,-179,-790] 2 4576d3 [0,0,0,-764,8128] 2 4576d4 [0,0,0,61,582] 2
4576e (1 curve)	1	2- 11+ 13-	2- -2  1 -5 11+ 13-  6 -4
Curve Equation t Generators 4576e1 [0,1,0,320,72] 1 [46:338:1]
4576f (1 curve)	1	2- 11- 13+	2-  1  3 -1 11- 13+ -5  0
Curve Equation t Generators 4576f1 [0,1,0,-144,824] 1 [10:22:1]
4576g (1 curve)	1	2- 11- 13+	2- -3  1  4 11- 13+ -4  2
Curve Equation t Generators 4576g1 [0,0,0,248,-848] 1 [76:676:1]
4576h (1 curve)	0	2- 11- 13-	2-  2  1  5 11- 13-  6  4
Curve Equation t 4576h1 [0,-1,0,320,-72] 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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