Cremona's table of elliptic curves

31980 = 2² · 3 · 5 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
31980a (2 curves)	0	2- 3+ 5+ 13+ 41+	2- 3+ 5+  0  2 13+ -6  0
Curve Equation t 31980a1 [0,-1,0,-81,-234] 2 31980a2 [0,-1,0,-276,1560] 2
31980b (1 curve)	1	2- 3+ 5+ 13- 41+	2- 3+ 5+  4 -3 13- -3  4
Curve Equation t Generators 31980b1 [0,-1,0,-221,-5079] 1 [31:130:1]
31980c (2 curves)	0	2- 3+ 5- 13+ 41-	2- 3+ 5-  0 -2 13+  2 -4
Curve Equation t 31980c1 [0,-1,0,-2265,38070] 2 31980c2 [0,-1,0,-35220,2555832] 2
31980d (2 curves)	1	2- 3+ 5- 13- 41-	2- 3+ 5-  0 -2 13-  6 -8
Curve Equation t Generators 31980d1 [0,-1,0,-124345,16609870] 2 [-174:5740:1] 31980d2 [0,-1,0,-266500,-28254248] 2 [419307:13156900:343]
31980e (1 curve)	0	2- 3- 5+ 13+ 41-	2- 3- 5+  4  3 13+  7  4
Curve Equation t 31980e1 [0,1,0,2945556099,-30414407396385] 1
31980f (1 curve)	1	2- 3- 5- 13- 41+	2- 3- 5-  2 -4 13-  2 -8
Curve Equation t Generators 31980f1 [0,1,0,-2685,116703] 1 [213:-3042:1]
31980g (2 curves)	1	2- 3- 5- 13- 41+	2- 3- 5- -4  6 13-  6 -4
Curve Equation t Generators 31980g1 [0,1,0,-325,2375] 3 [-7:66:1] 31980g2 [0,1,0,2075,-4105] 1 [58:561:1]

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

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