Cremona's table of elliptic curves

17670 = 2 · 3 · 5 · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
17670a (1 curve)	0	2+ 3+ 5- 19+ 31+	2+ 3+ 5- -1 -5  5 -4 19+
Curve Equation t 17670a1 [1,1,0,-3952,89344] 1
17670b (1 curve)	1	2+ 3- 5+ 19+ 31-	2+ 3- 5+ -1  3  1  0 19+
Curve Equation t Generators 17670b1 [1,0,1,-49,-28] 1 [-6:10:1]
17670c (4 curves)	0	2+ 3- 5+ 19- 31-	2+ 3- 5+  2  0  2  6 19-
Curve Equation t 17670c1 [1,0,1,-36669,2677912] 6 17670c2 [1,0,1,-585389,172342136] 6 17670c3 [1,0,1,-258684,-49091654] 2 17670c4 [1,0,1,-647804,133327802] 2
17670d (2 curves)	0	2+ 3- 5+ 19- 31-	2+ 3- 5+  5 -6 -1  3 19-
Curve Equation t 17670d1 [1,0,1,-649,9836] 3 17670d2 [1,0,1,5336,-160138] 1
17670e (4 curves)	1	2+ 3- 5- 19+ 31+	2+ 3- 5-  0  0 -2  2 19+
Curve Equation t Generators 17670e1 [1,0,1,-1062768,-301248194] 2 [-11490:237989:27] 17670e2 [1,0,1,-6305648,5855990078] 4 [834:33895:1] 17670e3 [1,0,1,-99791728,383689331006] 4 [3430:284222:1] 17670e4 [1,0,1,3294352,22106870078] 2 [5954:499815:1]
17670f (2 curves)	1	2+ 3- 5- 19+ 31+	2+ 3- 5-  0  0  4 -4 19+
Curve Equation t Generators 17670f1 [1,0,1,-58,-232] 2 [19:65:1] 17670f2 [1,0,1,-1008,-12392] 2 [38:48:1]
17670g (1 curve)	1	2+ 3- 5- 19+ 31+	2+ 3- 5- -5  5 -1 -4 19+
Curve Equation t Generators 17670g1 [1,0,1,-54552328,155079827798] 1 [4264:-2110:1]
17670h (2 curves)	2	2+ 3- 5- 19+ 31-	2+ 3- 5- -4 -6 -2 -6 19+
Curve Equation t Generators 17670h1 [1,0,1,-153,19756] 2 [-25:102:1]&[-10:147:1] 17670h2 [1,0,1,-11933,495668] 2 [-111:730:1]&[-36:955:1]
17670i (1 curve)	1	2+ 3- 5- 19- 31-	2+ 3- 5-  1 -3  1 -4 19-
Curve Equation t Generators 17670i1 [1,0,1,-2063,35156] 1 [0:187:1]
17670j (2 curves)	0	2- 3+ 5+ 19+ 31+	2- 3+ 5+  0  4 -4 -4 19+
Curve Equation t 17670j1 [1,1,1,1538724,-5058393027] 2 17670j2 [1,1,1,-36461276,-80693593027] 2
17670k (1 curve)	0	2- 3+ 5+ 19+ 31+	2- 3+ 5+  3 -5 -1 -4 19+
Curve Equation t 17670k1 [1,1,1,-1687301,633267083] 1
17670l (1 curve)	1	2- 3+ 5+ 19+ 31-	2- 3+ 5+  5 -1  3 -4 19+
Curve Equation t Generators 17670l1 [1,1,1,-215321,13235729] 1 [12491977163952754:199459035297121535:214857221288984]
17670m (1 curve)	1	2- 3+ 5+ 19- 31+	2- 3+ 5+  3 -1 -3 -4 19-
Curve Equation t Generators 17670m1 [1,1,1,-1096,12233] 1 [-11:157:1]
17670n (2 curves)	1	2- 3+ 5+ 19- 31+	2- 3+ 5+ -4 -6  4  2 19-
Curve Equation t Generators 17670n1 [1,1,1,-36296,-3762871] 2 [381:5965:1] 17670n2 [1,1,1,-644296,-199295671] 2 [-467:357:1]
17670o (4 curves)	1	2- 3+ 5- 19+ 31+	2- 3+ 5-  0  0  6 -2 19+
Curve Equation t Generators 17670o1 [1,1,1,1565,-4735] 4 [5:54:1] 17670o2 [1,1,1,-6435,-46335] 4 [-15:224:1] 17670o3 [1,1,1,-78635,-8508175] 2 [825:21700:1] 17670o4 [1,1,1,-62235,5913105] 2 [165:330:1]
17670p (1 curve)	1	2- 3+ 5- 19- 31-	2- 3+ 5- -1 -2 -5  3 19-
Curve Equation t Generators 17670p1 [1,1,1,-1235,16337] 1 [27:-74:1]
17670q (1 curve)	1	2- 3+ 5- 19- 31-	2- 3+ 5- -1  5 -1 -8 19-
Curve Equation t Generators 17670q1 [1,1,1,-8626525,-9056971213] 1 [-1385:16068:1]
17670r (2 curves)	1	2- 3+ 5- 19- 31-	2- 3+ 5-  2 -4  2 -2 19-
Curve Equation t Generators 17670r1 [1,1,1,-6460,-200035] 2 [-47:73:1] 17670r2 [1,1,1,-12540,227997] 2 [-93:821:1]
17670s (2 curves)	1	2- 3- 5+ 19+ 31+	2- 3- 5+ -2  0  2 -2 19+
Curve Equation t Generators 17670s1 [1,0,0,-886,-9820] 2 [-16:26:1] 17670s2 [1,0,0,-2406,32436] 2 [-30:294:1]
17670t (1 curve)	0	2- 3- 5+ 19- 31+	2- 3- 5+  1  2  5  3 19-
Curve Equation t 17670t1 [1,0,0,-1,11] 1
17670u (2 curves)	0	2- 3- 5+ 19- 31+	2- 3- 5+ -4  2  0 -2 19-
Curve Equation t 17670u1 [1,0,0,-64803061,-201320923615] 2 17670u2 [1,0,0,-1037603061,-12864647643615] 2
17670v (1 curve)	1	2- 3- 5+ 19- 31-	2- 3- 5+  1  1 -1 -4 19-
Curve Equation t Generators 17670v1 [1,0,0,-599811,-160471359] 1 [-342:2337:1]
17670w (2 curves)	1	2- 3- 5+ 19- 31-	2- 3- 5+ -2 -2 -4  2 19-
Curve Equation t Generators 17670w1 [1,0,0,199,1401] 2 [30:171:1] 17670w2 [1,0,0,-1321,13865] 2 [4:91:1]
17670x (2 curves)	0	2- 3- 5- 19+ 31+	2- 3- 5-  2  2  4 -2 19+
Curve Equation t 17670x1 [1,0,0,15180,1232640] 2 17670x2 [1,0,0,-122000,13496532] 2
17670y (4 curves)	0	2- 3- 5- 19+ 31+	2- 3- 5-  4  4 -6  2 19+
Curve Equation t 17670y1 [1,0,0,-2549535,-1567106343] 2 17670y2 [1,0,0,-2550815,-1565454375] 4 17670y3 [1,0,0,-3446095,-369897463] 4 17670y4 [1,0,0,-1676015,-2655280215] 2
17670z (4 curves)	1	2- 3- 5- 19- 31+	2- 3- 5-  0  0 -6 -6 19-
Curve Equation t Generators 17670z1 [1,0,0,-460190,149564100] 4 [-500:16210:1] 17670z2 [1,0,0,-7853470,8469961412] 4 [764:53618:1] 17670z3 [1,0,0,-8345950,7347402500] 2 [650:46550:1] 17670z4 [1,0,0,-125653470,542127521412] 2 [6474:-2922:1]
17670ba (1 curve)	1	2- 3- 5- 19- 31+	2- 3- 5- -3  3 -3  0 19-
Curve Equation t Generators 17670ba1 [1,0,0,-125,-423] 1 [-8:13:1]
17670bb (3 curves)	0	2- 3- 5- 19- 31-	2- 3- 5- -1  3  5  0 19-
Curve Equation t 17670bb1 [1,0,0,-1469295,666308025] 9 17670bb2 [1,0,0,-16184295,-24834624975] 3 17670bb3 [1,0,0,-1307624145,-18200156001645] 1
17670bc (2 curves)	0	2- 3- 5- 19- 31-	2- 3- 5- -2  0 -6  6 19-
Curve Equation t 17670bc1 [1,0,0,-35,-15] 2 17670bc2 [1,0,0,-415,-3283] 2

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