Cremona's table of elliptic curves

87856 = 2⁴ · 17² · 19

Class	r	Atkin-Lehner	Eigenvalues
87856a (1 curve)	1	2+ 17+ 19+	2+  1  0  3  2  1 17+ 19+
Curve Equation t Generators 87856a1 [0,1,0,-2408,64340] 1 [2:244:1]
87856b (2 curves)	1	2+ 17+ 19+	2+ -2  2  0  0  2 17+ 19+
Curve Equation t Generators 87856b1 [0,1,0,193,70120] 2 [8520:79508:125] 87856b2 [0,1,0,-24372,1426108] 2 [54:520:1]
87856c (2 curves)	1	2+ 17+ 19+	2+ -2 -4  2 -4  2 17+ 19+
Curve Equation t Generators 87856c1 [0,1,0,-16280,531364] 2 [-74:1156:1] 87856c2 [0,1,0,-235920,44020084] 2 [300:-578:1]
87856d (1 curve)	0	2+ 17+ 19-	2+ -2  1 -3 -3 -4 17+ 19-
Curve Equation t 87856d1 [0,1,0,-385,-16869] 1
87856e (2 curves)	0	2- 17+ 19+	2-  0  2 -2 -2 -6 17+ 19+
Curve Equation t 87856e1 [0,0,0,-1875899,-986009622] 2 87856e2 [0,0,0,-29989819,-63213360150] 2
87856f (2 curves)	0	2- 17+ 19+	2-  0 -4 -2  4  6 17+ 19+
Curve Equation t 87856f1 [0,0,0,-578867,169252850] 2 87856f2 [0,0,0,-393907,279304050] 2
87856g (3 curves)	0	2- 17+ 19+	2-  1  0 -1 -6  5 17+ 19+
Curve Equation t 87856g1 [0,1,0,-71768,-7426540] 1 87856g2 [0,1,0,43832,-28114316] 1 87856g3 [0,1,0,-395448,769793876] 1
87856h (2 curves)	0	2- 17+ 19+	2-  1 -2  2  0  4 17+ 19+
Curve Equation t 87856h1 [0,1,0,-288229,-59835245] 1 87856h2 [0,1,0,2070011,1213142707] 1
87856i (2 curves)	0	2- 17+ 19+	2- -1  2 -2  0  4 17+ 19+
Curve Equation t 87856i1 [0,-1,0,-997,-11827] 1 87856i2 [0,-1,0,7163,244397] 1
87856j (2 curves)	0	2- 17+ 19+	2-  2  4 -2 -6 -2 17+ 19+
Curve Equation t 87856j1 [0,-1,0,-2136,-37072] 2 87856j2 [0,-1,0,-3496,17328] 2
87856k (4 curves)	0	2- 17+ 19+	2- -2  0  2  0  2 17+ 19+
Curve Equation t 87856k1 [0,1,0,-707568,-163033388] 2 87856k2 [0,1,0,-4221808,3209231316] 2 87856k3 [0,1,0,-21145648,37409704020] 2 87856k4 [0,1,0,-338305808,2394924605332] 2
87856l (3 curves)	0	2- 17+ 19+	2- -2 -3 -1  3 -4 17+ 19+
Curve Equation t 87856l1 [0,1,0,3083,3939] 1 87856l2 [0,1,0,-43157,3656899] 1 87856l3 [0,1,0,-3557397,2581351939] 1
87856m (2 curves)	0	2- 17+ 19+	2- -2 -4  2  6 -2 17+ 19+
Curve Equation t 87856m1 [0,1,0,-617400,-185838956] 2 87856m2 [0,1,0,-1010440,79070004] 2
87856n (1 curve)	0	2- 17+ 19+	2-  3  2  4 -2  6 17+ 19+
Curve Equation t 87856n1 [0,0,0,-212704,-87176272] 1
87856o (1 curve)	1	2- 17+ 19-	2-  1  2  4  2  6 17+ 19-
Curve Equation t Generators 87856o1 [0,1,0,3083,-15713] 1 [16059:2035138:1]
87856p (1 curve)	1	2- 17+ 19-	2- -1 -2  0  2  2 17+ 19-
Curve Equation t Generators 87856p1 [0,-1,0,-4634789,-3839002487] 1 [1070850387212109:52158645317132686:278829021437]
87856q (2 curves)	1	2- 17+ 19-	2- -1  4  3  2 -1 17+ 19-
Curve Equation t Generators 87856q1 [0,-1,0,-96,-372992] 1 [180752:1928800:1331] 87856q2 [0,-1,0,-323776,78604928] 1 [712:14440:1]
87856r (1 curve)	1	2- 17+ 19-	2-  2  1 -3  5 -4 17+ 19-
Curve Equation t Generators 87856r1 [0,-1,0,-6165,189113] 1 [209:2826:1]
87856s (2 curves)	1	2- 17+ 19-	2-  2 -2  0 -4  2 17+ 19-
Curve Equation t Generators 87856s1 [0,-1,0,-356144,14183360] 2 [-299502:6953734:729] 87856s2 [0,-1,0,1400976,111176384] 2 [8006175630:565329873178:21717639]
87856t (2 curves)	1	2- 17+ 19-	2- -2 -4  4  2 -6 17+ 19-
Curve Equation t Generators 87856t1 [0,1,0,-1114480,-450979116] 2 [-644:266:1] 87856t2 [0,1,0,-17807120,-28928622956] 2 [-835884:3382:343]

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