Cremona's table of elliptic curves

40670 = 2 · 5 · 7² · 83

Class	r	Atkin-Lehner	Eigenvalues
40670a (2 curves)	2	2+ 5+ 7+ 83-	2+ -2 5+ 7+ -3 -4 -6  2
Curve Equation t Generators 40670a1 [1,0,1,-20459,216822] 3 [-142:584:1]&[-132:854:1] 40670a2 [1,0,1,-1016874,-394762084] 1 [-584:316:1]&[1964:71023:1]
40670b (1 curve)	1	2+ 5+ 7- 83-	2+  0 5+ 7- -4 -2 -3 -6
Curve Equation t Generators 40670b1 [1,-1,0,8125,553125] 1 [86:1329:1]
40670c (2 curves)	1	2+ 5+ 7- 83-	2+ -1 5+ 7-  3  4 -3 -8
Curve Equation t Generators 40670c1 [1,1,0,1837,23017] 1 [-4:127:1] 40670c2 [1,1,0,-41038,3221492] 1 [196:1562:1]
40670d (2 curves)	1	2+ 5+ 7- 83-	2+  2 5+ 7-  3 -2  0 -2
Curve Equation t Generators 40670d1 [1,1,0,-28957933,-59991099363] 1 [385955061963953651482717914563968148645149062378711444705:-8710567837846818056546793447091119712209518852056554841743:59979255837799084867264654097648593236027411708858625] 40670d2 [1,1,0,-29277308,-58600541488] 1 [13932801733304253145:-2833007981332883985581:332740524847375]
40670e (2 curves)	0	2+ 5- 7+ 83+	2+ -2 5- 7+  3  2  0  2
Curve Equation t 40670e1 [1,0,1,-1418938743,20572690265306] 3 40670e2 [1,0,1,-1434588118,20095681966056] 1
40670f (1 curve)	1	2+ 5- 7- 83+	2+  0 5- 7- -4  2  3  6
Curve Equation t Generators 40670f1 [1,-1,0,166,-1660] 1 [16:-78:1]
40670g (2 curves)	1	2+ 5- 7- 83+	2+  2 5- 7-  0  4  3 -2
Curve Equation t Generators 40670g1 [1,1,0,2033,-588699] 1 [74934:580913:729] 40670g2 [1,1,0,-18302,15959924] 1 [-6684:66062:27]
40670h (2 curves)	1	2+ 5- 7- 83+	2+  2 5- 7- -3  4  6 -2
Curve Equation t Generators 40670h1 [1,1,0,-417,-811] 1 [449:9293:1] 40670h2 [1,1,0,-20752,1142016] 1 [87:24:1]
40670i (1 curve)	1	2+ 5- 7- 83+	2+ -2 5- 7-  5  2  2 -3
Curve Equation t Generators 40670i1 [1,0,1,-8258,293556] 1 [60:92:1]
40670j (2 curves)	0	2- 5+ 7+ 83+	2- -2 5+ 7+ -3 -1  0 -1
Curve Equation t 40670j1 [1,0,0,-4183621,3293295081] 3 40670j2 [1,0,0,-4125311,3389567635] 1
40670k (1 curve)	0	2- 5+ 7+ 83+	2- -2 5+ 7+  5  4  2 -2
Curve Equation t 40670k1 [1,0,0,-70260856,-226449794880] 1
40670l (1 curve)	1	2- 5+ 7+ 83-	2-  2 5+ 7+ -1  6  4  6
Curve Equation t Generators 40670l1 [1,1,1,-29891,1077313] 1 [167:798:1]
40670m (1 curve)	1	2- 5+ 7+ 83-	2- -2 5+ 7+  1 -5 -4 -5
Curve Equation t Generators 40670m1 [1,0,0,1319814,-2295617234] 1 [84223618:3132385041:54872]
40670n (1 curve)	1	2- 5+ 7+ 83-	2- -2 5+ 7+ -3  7 -8 -5
Curve Equation t Generators 40670n1 [1,0,0,2694,-57884] 1 [68:-698:1]
40670o (1 curve)	1	2- 5+ 7- 83+	2-  2 5+ 7- -5  2  4  2
Curve Equation t Generators 40670o1 [1,1,1,-266561,-52951361] 1 [623:4512:1]
40670p (1 curve)	0	2- 5+ 7- 83-	2-  0 5+ 7-  3  4 -6 -7
Curve Equation t 40670p1 [1,-1,1,407,19331] 1
40670q (1 curve)	0	2- 5+ 7- 83-	2-  1 5+ 7- -5 -2  3  6
Curve Equation t 40670q1 [1,0,0,-548066,-158057404] 1
40670r (1 curve)	0	2- 5+ 7- 83-	2- -2 5+ 7- -3  0  6  2
Curve Equation t 40670r1 [1,0,0,-2451,-40685] 1
40670s (1 curve)	0	2- 5+ 7- 83-	2- -2 5+ 7-  4 -4 -5  6
Curve Equation t 40670s1 [1,0,0,-1,-1779] 1
40670t (1 curve)	0	2- 5+ 7- 83-	2-  3 5+ 7-  3  4  1  0
Curve Equation t 40670t1 [1,-1,1,162,-24083] 1
40670u (1 curve)	1	2- 5- 7+ 83+	2-  2 5- 7+ -3  0 -6 -2
Curve Equation t Generators 40670u1 [1,1,1,-50,97] 1 [358:2217:8]
40670v (1 curve)	2	2- 5- 7+ 83-	2- -2 5- 7+ -5 -2 -4 -2
Curve Equation t Generators 40670v1 [1,0,0,-5440,153600] 1 [-80:320:1]&[32:-128:1]
40670w (1 curve)	0	2- 5- 7- 83+	2-  0 5- 7-  3 -4  6  7
Curve Equation t 40670w1 [1,-1,1,8,-59] 1
40670x (1 curve)	0	2- 5- 7- 83+	2-  2 5- 7-  1  5  4  5
Curve Equation t 40670x1 [1,1,1,26935,6704305] 1
40670y (1 curve)	0	2- 5- 7- 83+	2-  2 5- 7- -3  2  2 -7
Curve Equation t 40670y1 [1,1,1,1175,-34455233] 1
40670z (1 curve)	0	2- 5- 7- 83+	2-  2 5- 7- -3 -7  8  5
Curve Equation t 40670z1 [1,1,1,132005,19986217] 1
40670ba (1 curve)	2	2- 5- 7- 83+	2- -2 5- 7- -1 -6 -4 -6
Curve Equation t Generators 40670ba1 [1,0,0,-610,-3228] 1 [-16:58:1]&[-8:38:1]
40670bb (2 curves)	1	2- 5- 7- 83-	2-  2 5- 7- -3  1  0  1
Curve Equation t Generators 40670bb1 [1,1,1,-85380,-9638035] 1 [1577064510:-820887342497:5832] 40670bb2 [1,1,1,-84190,-9918203] 1 [111642:1935241:216]
40670bc (1 curve)	1	2- 5- 7- 83-	2-  2 5- 7-  5 -4 -2  2
Curve Equation t Generators 40670bc1 [1,1,1,-1433895,659588957] 1 [2247:92626:1]

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