Cremona's table of elliptic curves

510 = 2 · 3 · 5 · 17

Class	r	Atkin-Lehner	Eigenvalues
510a (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  2 -4  4 17- -4
Curve Equation t 510a1 [1,1,0,-2673,67797] 2 510a2 [1,1,0,-46193,3801813] 2
510b (2 curves)	0	2+ 3- 5- 17-	2+ 3- 5- -2  4  0 17-  4
Curve Equation t 510b1 [1,0,1,-723,-7634] 2 510b2 [1,0,1,-11603,-482002] 2
510c (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  2  0  4 17+  4
Curve Equation t 510c1 [1,1,1,14,59] 2 510c2 [1,1,1,-156,603] 2
510d (4 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+ -4 -4 -2 17- -4
Curve Equation t Generators 510d1 [1,1,1,-101,299] 4 [-9:28:1] 510d2 [1,1,1,-421,-3157] 4 [-13:24:1] 510d3 [1,1,1,-6541,-206341] 2 [-47:24:1] 510d4 [1,1,1,579,-14757] 2 [21:74:1]
510e (8 curves)	0	2- 3+ 5- 17-	2- 3+ 5-  0  4 -2 17-  4
Curve Equation t 510e1 [1,1,1,-80,305] 4 510e2 [1,1,1,-1360,18737] 8 510e3 [1,1,1,-1440,16305] 8 510e4 [1,1,1,-21760,1226417] 4 510e5 [1,1,1,-7220,-224143] 4 510e6 [1,1,1,3060,102705] 4 510e7 [1,1,1,-113470,-14759143] 2 510e8 [1,1,1,6550,-962215] 2
510f (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+  0  4  2 17- -4
Curve Equation t 510f1 [1,0,0,4,0] 2 510f2 [1,0,0,-16,-4] 4 510f3 [1,0,0,-186,-990] 2 510f4 [1,0,0,-166,806] 2
510g (4 curves)	0	2- 3- 5- 17+	2- 3- 5-  2  0 -4 17+ -4
Curve Equation t 510g1 [1,0,0,25,-375] 6 510g2 [1,0,0,-655,-6223] 6 510g3 [1,0,0,-3275,-72435] 2 510g4 [1,0,0,-52405,-4621873] 2

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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