Cremona's table of elliptic curves

275 = 5² · 11

Class	r	Atkin-Lehner	Eigenvalues
275a (4 curves)	1	5+ 11+	-1  0 5+  0 11+ -2 -6 -4
Curve Equation t Generators 275a1 [1,-1,1,20,22] 4 [8:21:1] 275a2 [1,-1,1,-105,272] 4 [0:16:1] 275a3 [1,-1,1,-730,-7228] 2 [-16:20:1] 275a4 [1,-1,1,-1480,22272] 2 [24:0:1]
275b (3 curves)	0	5+ 11-	2  1 5+  2 11- -4  2  0
Curve Equation t 275b1 [0,1,1,-8,19] 1 275b2 [0,1,1,-258,-2981] 1 275b3 [0,1,1,-195508,-33338481] 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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