Cremona's table of elliptic curves

4270 = 2 · 5 · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
4270a (1 curve)	2	2+ 5+ 7- 61+	2+ -3 5+ 7- -3 -6 -7 -5
Curve Equation t Generators 4270a1 [1,-1,0,-70,196] 1 [-8:18:1]&[-7:21:1]
4270b (1 curve)	1	2+ 5- 7+ 61-	2+ -1 5- 7+ -1  0  1  7
Curve Equation t Generators 4270b1 [1,1,0,-52,116] 1 [2:4:1]
4270c (1 curve)	1	2+ 5- 7- 61+	2+ -2 5- 7-  0  1 -5  1
Curve Equation t Generators 4270c1 [1,0,1,-3,8] 1 [2:2:1]
4270d (4 curves)	0	2+ 5- 7- 61-	2+ -2 5- 7-  0  2  6  8
Curve Equation t 4270d1 [1,0,1,-388,-594] 6 4270d2 [1,0,1,-3818,89958] 6 4270d3 [1,0,1,-23663,-1402974] 2 4270d4 [1,0,1,-23943,-1368142] 2
4270e (1 curve)	0	2- 5+ 7+ 61+	2-  0 5+ 7+ -2 -3  5  3
Curve Equation t 4270e1 [1,-1,1,259142,-708608519] 1
4270f (1 curve)	1	2- 5+ 7+ 61-	2-  1 5+ 7+ -5  6  3  3
Curve Equation t Generators 4270f1 [1,0,0,-706,-5180] 1 [-12:46:1]
4270g (2 curves)	1	2- 5+ 7- 61+	2- -2 5+ 7-  0 -2  2  4
Curve Equation t Generators 4270g1 [1,0,0,-81,-215] 2 [-6:11:1] 4270g2 [1,0,0,-1201,-16119] 2 [-20:11:1]
4270h (4 curves)	0	2- 5- 7+ 61-	2-  0 5- 7+  0 -2  2  4
Curve Equation t 4270h1 [1,-1,1,-397,2741] 4 4270h2 [1,-1,1,-1677,-23371] 4 4270h3 [1,-1,1,-26077,-1614251] 2 4270h4 [1,-1,1,2243,-119019] 4
4270i (2 curves)	1	2- 5- 7- 61-	2-  1 5- 7- -3 -4 -3 -7
Curve Equation t Generators 4270i1 [1,0,0,-2216060,1269557072] 3 [-616:49308:1] 4270i2 [1,0,0,-3503560,-367860428] 1 [-1656:30718:1]
4270j (2 curves)	1	2- 5- 7- 61-	2- -2 5- 7-  0  5 -3 -7
Curve Equation t Generators 4270j1 [1,0,0,575,-375] 3 [2:27:1] 4270j2 [1,0,0,-8225,-304535] 1 [112:371:1]

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

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