Cremona's table of elliptic curves

1410 = 2 · 3 · 5 · 47

Class	r	Atkin-Lehner	Eigenvalues
1410a (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -1  2 -5  7  3
Curve Equation t Generators 1410a1 [1,1,0,-418773,-104507667] 1 [56426:13374571:1]
1410b (2 curves)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -4  2  4 -2  0
Curve Equation t Generators 1410b1 [1,1,0,17,37] 2 [1:7:1] 1410b2 [1,1,0,-103,253] 2 [-9:28:1]
1410c (2 curves)	0	2+ 3+ 5- 47+	2+ 3+ 5-  4 -2  0  6  4
Curve Equation t 1410c1 [1,1,0,-137,-1071] 2 1410c2 [1,1,0,-2567,-51129] 2
1410d (1 curve)	1	2+ 3+ 5- 47-	2+ 3+ 5- -1 -2  1  3 -7
Curve Equation t Generators 1410d1 [1,1,0,8,64] 1 [0:8:1]
1410e (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+  2  6 -2  2 -4
Curve Equation t 1410e1 [1,0,1,1256,-12058] 2 1410e2 [1,0,1,-6264,-108314] 2
1410f (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5- -3 -6  1  3  3
Curve Equation t Generators 1410f1 [1,0,1,-123,3478] 1 [59:-480:1]
1410g (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  2  2 -2 -2  0
Curve Equation t 1410g1 [1,1,1,-8021,-279877] 2 1410g2 [1,1,1,-128341,-17750341] 2
1410h (4 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  4 -4  2  2  8
Curve Equation t 1410h1 [1,1,1,-16,-31] 2 1410h2 [1,1,1,-36,33] 4 1410h3 [1,1,1,-506,4169] 2 1410h4 [1,1,1,114,393] 2
1410i (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -5  2  5  5 -7
Curve Equation t 1410i1 [1,1,1,-46796,4729853] 1
1410j (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+  0 -2 -4  2 -4
Curve Equation t Generators 1410j1 [1,1,1,324,-6627] 2 [21:89:1] 1410j2 [1,1,1,-3996,-89571] 2 [-39:113:1]

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

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