Cremona's table of elliptic curves

130 = 2 · 5 · 13

Class	r	Atkin-Lehner	Eigenvalues
130a (4 curves)	1	2+ 5- 13-	2+ -2 5- -4 -6 13- -6  2
Curve Equation t Generators 130a1 [1,0,1,-33,68] 6 [-6:10:1] 130a2 [1,0,1,-13,156] 6 [-5:12:1] 130a3 [1,0,1,-208,-1122] 2 [-8:10:1] 130a4 [1,0,1,112,-4194] 2 [17:43:1]
130c (2 curves)	0	2- 5+ 13+	2-  2 5+ -4 -2 13+  2  6
Curve Equation t 130c1 [1,1,1,-841,-9737] 2 130c2 [1,1,1,-761,-11561] 2
130b (4 curves)	0	2- 5- 13-	2-  0 5-  0  0 13-  2 -8
Curve Equation t 130b1 [1,-1,1,-7,-1] 4 130b2 [1,-1,1,-87,-289] 4 130b3 [1,-1,1,-1387,-19529] 2 130b4 [1,-1,1,-67,-441] 4

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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