Cremona's table of elliptic curves

2210 = 2 · 5 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
2210a (2 curves)	1	2+ 5- 13- 17+	2+  2 5- -2 -4 13- 17+ -4
Curve Equation t Generators 2210a1 [1,1,0,-2227,-40851] 2 [-27:36:1] 2210a2 [1,1,0,-35507,-2590099] 2 [235:1336:1]
2210b (4 curves)	1	2+ 5- 13- 17+	2+ -2 5-  2  0 13- 17+ -4
Curve Equation t Generators 2210b1 [1,0,1,-5543,158358] 6 [-61:550:1] 2210b2 [1,0,1,-5673,150506] 6 [122:1069:1] 2210b3 [1,0,1,-8418,-23692] 2 [-76:460:1] 2210b4 [1,0,1,-96298,-11483244] 2 [-180:252:1]
2210c (2 curves)	1	2- 5+ 13+ 17-	2-  0 5+  2 -4 13+ 17- -6
Curve Equation t Generators 2210c1 [1,-1,1,-18,17] 2 [-3:7:1] 2210c2 [1,-1,1,62,81] 2 [3:15:1]
2210d (2 curves)	1	2- 5+ 13+ 17-	2- -2 5+  0  2 13+ 17- -2
Curve Equation t Generators 2210d1 [1,0,0,-306,1156] 2 [0:34:1] 2210d2 [1,0,0,974,8580] 2 [-4:70:1]
2210e (2 curves)	1	2- 5- 13+ 17+	2-  0 5-  0 -6 13+ 17+  0
Curve Equation t Generators 2210e1 [1,-1,1,-187,-789] 2 [-9:14:1] 2210e2 [1,-1,1,333,-4741] 2 [17:66:1]
2210f (2 curves)	1	2- 5- 13+ 17+	2- -2 5- -2  0 13+ 17+  4
Curve Equation t Generators 2210f1 [1,0,0,-360,1600] 2 [-10:70:1] 2210f2 [1,0,0,-2440,-45408] 2 [-26:38:1]
2210g (4 curves)	1	2- 5- 13- 17-	2-  0 5- -4  0 13- 17- -4
Curve Equation t Generators 2210g1 [1,-1,1,-1582,24381] 4 [-39:179:1] 2210g2 [1,-1,1,-2862,-19651] 4 [-33:211:1] 2210g3 [1,-1,1,-36862,-2712451] 2 [267:2401:1] 2210g4 [1,-1,1,10658,-160259] 4 [19:211:1]

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

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