Cremona's table of elliptic curves

101675 = 5² · 7² · 83

Class	r	Atkin-Lehner	Eigenvalues
101675a (2 curves)	1	5+ 7+ 83+	0 -1 5+ 7+ -3 -2  6  8
Curve Equation t Generators 101675a1 [0,-1,1,-35443,-2593382] 1 [89676803406512:652617596874982:368447607809] 101675a2 [0,-1,1,-2882343,-1882543797] 1 [153890246123230691656588249375251510087739063:10491203762758363766848640548061536256265551373:29233950547559654839634089273251049430791]
101675b (1 curve)	1	5+ 7+ 83+	0 -1 5+ 7+ -3 -4 -7 -8
Curve Equation t Generators 101675b1 [0,-1,1,5717,-638282] 1 [82:612:1]
101675c (1 curve)	1	5+ 7+ 83+	-2 -1 5+ 7+  5  4 -2  4
Curve Equation t Generators 101675c1 [0,-1,1,572,-302] 1 [23:156:1]
101675d (2 curves)	0	5+ 7+ 83-	0 -1 5+ 7+  0 -2  3  2
Curve Equation t 101675d1 [0,-1,1,-28583,1874193] 1 101675d2 [0,-1,1,57167,9548818] 1
101675e (2 curves)	0	5+ 7- 83+	0  1 5+ 7-  0  2 -3 -2
Curve Equation t 101675e1 [0,1,1,-583,-5631] 1 101675e2 [0,1,1,1167,-27506] 1
101675f (1 curve)	0	5+ 7- 83+	1 -1 5+ 7-  3 -6  5 -2
Curve Equation t 101675f1 [1,1,0,1200,10375] 1
101675g (1 curve)	0	5+ 7- 83+	-1  0 5+ 7-  3 -6  5 -2
Curve Equation t 101675g1 [1,-1,1,9570,299072] 1
101675h (1 curve)	0	5+ 7- 83+	-1  0 5+ 7-  4  6 -3 -6
Curve Equation t 101675h1 [1,-1,1,-15900730,-24402874478] 1
101675i (1 curve)	0	5+ 7- 83+	-1  1 5+ 7-  0  2 -5 -2
Curve Equation t 101675i1 [1,0,0,-638,3288767] 1
101675j (1 curve)	0	5+ 7- 83+	-1  3 5+ 7-  3 -6 -7 -2
Curve Equation t 101675j1 [1,-1,1,-133755,18867622] 1
101675k (1 curve)	0	5+ 7- 83+	2  1 5+ 7- -3 -1  7 -8
Curve Equation t 101675k1 [0,1,1,-1245008,534879769] 1
101675l (2 curves)	1	5+ 7- 83-	0  1 5+ 7- -3  2 -6 -8
Curve Equation t Generators 101675l1 [0,1,1,-723,7354] 1 [122:79:8] 101675l2 [0,1,1,-58823,5471659] 1 [30174:-107:216]
101675m (1 curve)	1	5+ 7- 83-	0  1 5+ 7- -3  4  7  8
Curve Equation t Generators 101675m1 [0,1,1,117,1894] 1 [88:837:1]
101675n (1 curve)	1	5+ 7- 83-	0  1 5+ 7- -3 -5 -5 -4
Curve Equation t Generators 101675n1 [0,1,1,-1790133,921287644] 1 [814:-2034:1]
101675o (1 curve)	1	5+ 7- 83-	-1  0 5+ 7-  4 -6  3  6
Curve Equation t Generators 101675o1 [1,-1,1,-324505,71238122] 1 [338:-460:1]
101675p (1 curve)	1	5+ 7- 83-	-1 -1 5+ 7-  4  4  3 -8
Curve Equation t Generators 101675p1 [1,1,1,-2353,43266] 1 [6:168:1]
101675q (1 curve)	1	5+ 7- 83-	2 -1 5+ 7-  1  1 -3 -2
Curve Equation t Generators 101675q1 [0,-1,1,910992,92984793] 1 [2523498:1417296625:8]
101675r (1 curve)	1	5+ 7- 83-	-2  1 5+ 7-  5 -4  2 -4
Curve Equation t Generators 101675r1 [0,1,1,12,4] 1 [4:11:1]
101675s (2 curves)	1	5- 7+ 83-	0  1 5- 7+ -3  2 -6  8
Curve Equation t Generators 101675s1 [0,1,1,-886083,-325944881] 3 [3414798547277453:92175539333856271:2312011520567] 101675s2 [0,1,1,-72058583,-235462091756] 1 [27493138629672885105830840092284747618656934:15906139656860421814548814289694659238446447963:82084829829017026197046388700070568376]
101675t (1 curve)	1	5- 7+ 83-	2  1 5- 7+  5 -4  2  4
Curve Equation t Generators 101675t1 [0,1,1,14292,-9131] 1 [133188129146:2647517286907:376367048]
101675u (1 curve)	1	5- 7- 83+	0  1 5- 7- -3  3  3  6
Curve Equation t Generators 101675u1 [0,1,1,-28583,35491369] 1 [140296:3558369:512]
101675v (1 curve)	1	5- 7- 83+	0  1 5- 7- -3  3  3 -6
Curve Equation t Generators 101675v1 [0,1,1,-23,-836] 1 [128:1452:1]
101675w (2 curves)	1	5- 7- 83+	0 -1 5- 7- -3 -2  6 -8
Curve Equation t Generators 101675w1 [0,-1,1,-18083,955443] 1 [93:263:1] 101675w2 [0,-1,1,-1470583,686898568] 1 [692:387:1]
101675x (1 curve)	1	5- 7- 83+	0  3 5- 7-  1  5  5  0
Curve Equation t Generators 101675x1 [0,0,1,-12250,5091406] 1 [-17850:508267:216]
101675y (1 curve)	1	5- 7- 83+	1  1 5- 7-  4 -4 -3 -8
Curve Equation t Generators 101675y1 [1,0,1,-58826,5525923] 1 [1334:4131:8]
101675z (1 curve)	1	5- 7- 83+	2 -1 5- 7-  5  4 -2 -4
Curve Equation t Generators 101675z1 [0,-1,1,292,-57] 1 [58:387:8]
101675ba (1 curve)	2	5- 7- 83-	0 -1 5- 7- -3 -3 -3  6
Curve Equation t Generators 101675ba1 [0,-1,1,-1143,284388] 1 [-68:207:1]&[82:857:1]
101675bb (1 curve)	2	5- 7- 83-	0 -1 5- 7- -3 -3 -3 -6
Curve Equation t Generators 101675bb1 [0,-1,1,-583,-103307] 1 [61:290:1]&[986:10371:8]
101675bc (1 curve)	2	5- 7- 83-	0 -3 5- 7-  1 -5 -5  0
Curve Equation t Generators 101675bc1 [0,0,1,-490,40731] 1 [-35:122:1]&[-5:207:1]
101675bd (1 curve)	0	5- 7- 83-	1  0 5- 7-  3  6 -5 -2
Curve Equation t 101675bd1 [1,-1,0,383,2316] 1
101675be (1 curve)	2	5- 7- 83-	1 -1 5- 7-  0 -2  5 -2
Curve Equation t Generators 101675be1 [1,1,0,-25,26300] 1 [118:1313:8]&[76:648:1]

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

Part of Computational Number Theory
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