Cremona's table of elliptic curves

35670 = 2 · 3 · 5 · 29 · 41

Class	r	Atkin-Lehner	Eigenvalues
35670a (2 curves)	2	2+ 3+ 5+ 29- 41+	2+ 3+ 5+  0 -2 -4  0  6
Curve Equation t Generators 35670a1 [1,1,0,-5798,-163692] 2 [-52:50:1]&[-37:62:1] 35670a2 [1,1,0,4202,-657692] 2 [136:-1634:1]&[81:431:1]
35670b (1 curve)	1	2+ 3+ 5+ 29- 41-	2+ 3+ 5+ -3  5  0  2 -4
Curve Equation t Generators 35670b1 [1,1,0,217,1173] 1 [-3:24:1]
35670c (1 curve)	1	2+ 3+ 5- 29+ 41-	2+ 3+ 5- -1  3 -4  6  0
Curve Equation t Generators 35670c1 [1,1,0,-202,-1196] 1 [275:4427:1]
35670d (1 curve)	1	2+ 3+ 5- 29- 41+	2+ 3+ 5-  3 -4  2  6 -7
Curve Equation t Generators 35670d1 [1,1,0,-1337,20229] 1 [13:-79:1]
35670e (4 curves)	2	2+ 3+ 5- 29- 41-	2+ 3+ 5-  0 -4 -6  2 -4
Curve Equation t Generators 35670e1 [1,1,0,-27872,1779456] 2 [97:-31:1]&[-73:1889:1] 35670e2 [1,1,0,-27952,1768624] 4 [-157:1601:1]&[63:-544:1] 35670e3 [1,1,0,-5452,4563124] 4 [-170:868:1]&[-167:1006:1] 35670e4 [1,1,0,-51732,-1717524] 2 [-178:1464:1]&[-108:1674:1]
35670f (1 curve)	1	2+ 3- 5- 29+ 41+	2+ 3- 5- -1 -5 -2  2 -2
Curve Equation t Generators 35670f1 [1,0,1,-22568,1543556] 1 [-90:1732:1]
35670g (2 curves)	1	2- 3+ 5+ 29+ 41-	2- 3+ 5+ -2 -6  2  6  6
Curve Equation t Generators 35670g1 [1,1,1,-4646,116003] 2 [29:67:1] 35670g2 [1,1,1,1834,421859] 2 [-57:397:1]
35670h (1 curve)	0	2- 3+ 5- 29+ 41-	2- 3+ 5- -1 -4  2 -2 -1
Curve Equation t 35670h1 [1,1,1,-2305,-43603] 1
35670i (2 curves)	1	2- 3- 5+ 29+ 41+	2- 3- 5+ -2  2 -2 -2  2
Curve Equation t Generators 35670i1 [1,0,0,-4106,-74220] 2 [-26:136:1] 35670i2 [1,0,0,10474,-479544] 2 [76:832:1]
35670j (1 curve)	1	2- 3- 5- 29+ 41-	2- 3- 5-  1 -1  2 -6 -6
Curve Equation t Generators 35670j1 [1,0,0,-225,-55863] 1 [42:75:1]
35670k (4 curves)	1	2- 3- 5- 29+ 41-	2- 3- 5- -4  4  2 -6  4
Curve Equation t Generators 35670k1 [1,0,0,-97812655,372332698025] 4 [3710:244145:1] 35670k2 [1,0,0,-97825155,372232770525] 4 [29670:1951935:8] 35670k3 [1,0,0,-80794905,505991760075] 2 [418260:32242575:64] 35670k4 [1,0,0,-115055405,232078470975] 2 [16550:423455:8]
35670l (4 curves)	1	2- 3- 5- 29- 41+	2- 3- 5- -4  0 -6  2  4
Curve Equation t Generators 35670l1 [1,0,0,-8150,178980] 4 [-74:652:1] 35670l2 [1,0,0,-54230,-4733148] 4 [-132:426:1] 35670l3 [1,0,0,15370,-16022268] 2 [738:19566:1] 35670l4 [1,0,0,-861110,-307635900] 2 [2400:105810:1]

Data from Elliptic Curve Data by J. E. Cremona.
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