Cremona's table of elliptic curves

6578 = 2 · 11 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
6578a (2 curves)	1	2+ 11+ 13- 23-	2+  0  0  0 11+ 13-  8  4
Curve Equation t Generators 6578a1 [1,-1,0,5361668,-2635694256] 2 [1363987403688:98912942814764:324242703] 6578a2 [1,-1,0,-24784892,-22538453168] 2 [485832:62250268:27]
6578b (1 curve)	1	2+ 11+ 13- 23-	2+  0  3 -3 11+ 13-  2  1
Curve Equation t Generators 6578b1 [1,-1,0,37,-283] 1 [22:93:1]
6578c (2 curves)	0	2- 11+ 13+ 23+	2-  0  0  0 11+ 13+  8 -4
Curve Equation t 6578c1 [1,-1,1,-120,-517] 2 6578c2 [1,-1,1,-1960,-32901] 2
6578d (1 curve)	2	2- 11+ 13- 23-	2- -3 -3 -3 11+ 13- -7 -2
Curve Equation t Generators 6578d1 [1,-1,1,-2529,51249] 1 [-57:116:1]&[-39:318:1]
6578e (2 curves)	0	2- 11- 13- 23+	2-  1 -3  5 11- 13- -3  2
Curve Equation t 6578e1 [1,0,0,-897,18161] 3 6578e2 [1,0,0,7573,-342661] 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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