Cremona's table of elliptic curves

32175 = 3² · 5² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
32175a (2 curves)	1	3+ 5+ 11+ 13+	-1 3+ 5+  0 11+ 13+  0  2
Curve Equation t Generators 32175a1 [1,-1,1,18520,-1951478] 2 [1982:32755:8] 32175a2 [1,-1,1,-167105,-22370228] 2 [3742:8375:8]
32175b (2 curves)	0	3+ 5+ 11+ 13-	1 3+ 5+  2 11+ 13-  4  6
Curve Equation t 32175b1 [1,-1,0,408,-177309] 2 32175b2 [1,-1,0,-44967,-3580434] 2
32175c (2 curves)	0	3+ 5+ 11+ 13-	-1 3+ 5+ -2 11+ 13-  0 -2
Curve Equation t 32175c1 [1,-1,1,16495,182872] 2 32175c2 [1,-1,1,-67880,1532872] 2
32175d (2 curves)	0	3+ 5+ 11- 13+	1 3+ 5+  0 11- 13+  0  2
Curve Equation t 32175d1 [1,-1,0,2058,71591] 2 32175d2 [1,-1,0,-18567,834716] 2
32175e (2 curves)	1	3+ 5+ 11- 13-	1 3+ 5+ -2 11- 13-  0 -2
Curve Equation t Generators 32175e1 [1,-1,0,1833,-7384] 2 [8:84:1] 32175e2 [1,-1,0,-7542,-54259] 2 [-76:313:1]
32175f (2 curves)	1	3+ 5+ 11- 13-	-1 3+ 5+  2 11- 13- -4  6
Curve Equation t Generators 32175f1 [1,-1,1,3670,4783672] 2 [-106:1840:1] 32175f2 [1,-1,1,-404705,97076422] 2 [235:3743:1]
32175g (2 curves)	0	3- 5+ 11+ 13+	1 3- 5+  2 11+ 13+ -6  0
Curve Equation t 32175g1 [1,-1,0,10683,-269784] 2 32175g2 [1,-1,0,-51192,-2311659] 2
32175h (4 curves)	0	3- 5+ 11+ 13+	1 3- 5+ -4 11+ 13+  6  0
Curve Equation t 32175h1 [1,-1,0,-16338942,25424580591] 2 32175h2 [1,-1,0,-16340067,25420905216] 4 32175h3 [1,-1,0,-14248692,32165589591] 2 32175h4 [1,-1,0,-18449442,18440983341] 2
32175i (8 curves)	0	3- 5+ 11+ 13+	-1 3- 5+  0 11+ 13+  2  4
Curve Equation t 32175i1 [1,-1,1,-1003709255,-12239145637378] 2 32175i2 [1,-1,1,-1003710380,-12239116828378] 4 32175i3 [1,-1,1,-987257255,-12659757422128] 2 32175i4 [1,-1,1,-1020181505,-11816632472128] 4 32175i5 [1,-1,1,843233620,-50143354763128] 2 32175i6 [1,-1,1,-3147134630,53548890965372] 4 32175i7 [1,-1,1,7001912245,327755839434122] 2 32175i8 [1,-1,1,-47327431505,3962709919059122] 2
32175j (2 curves)	2	3- 5+ 11+ 13+	-1 3- 5+  0 11+ 13+ -4 -8
Curve Equation t Generators 32175j1 [1,-1,1,445,-4678] 2 [10:21:1]&[18:85:1] 32175j2 [1,-1,1,-2930,-45178] 2 [-42:70:1]&[-36:130:1]
32175k (1 curve)	0	3- 5+ 11+ 13+	2 3- 5+  0 11+ 13+ -7  1
Curve Equation t 32175k1 [0,0,1,-449175,-115883469] 1
32175l (1 curve)	1	3- 5+ 11+ 13-	-2 3- 5+  4 11+ 13-  3  1
Curve Equation t Generators 32175l1 [0,0,1,2175,1656] 1 [5:112:1]
32175m (2 curves)	1	3- 5+ 11- 13+	0 3- 5+ -2 11- 13+ -3  5
Curve Equation t Generators 32175m1 [0,0,1,-1200,-26969] 1 [145:1687:1] 32175m2 [0,0,1,10050,484906] 1 [70:-1238:1]
32175n (2 curves)	1	3- 5+ 11- 13+	0 3- 5+ -2 11- 13+ -6  2
Curve Equation t Generators 32175n1 [0,0,1,-738750,-244396094] 1 [-91930398:530650:185193] 32175n2 [0,0,1,-851250,-165055469] 1 [-799:2238:1]
32175o (2 curves)	1	3- 5+ 11- 13+	1 3- 5+ -2 11- 13+  2  8
Curve Equation t Generators 32175o1 [1,-1,0,-3942,-109409] 2 [742:4129:8] 32175o2 [1,-1,0,-65817,-6482534] 2 [6022:150889:8]
32175p (6 curves)	1	3- 5+ 11- 13+	-1 3- 5+  0 11- 13+ -6 -4
Curve Equation t Generators 32175p1 [1,-1,1,-5405,-218028] 2 [138:1215:1] 32175p2 [1,-1,1,-96530,-11517528] 4 [-180:128:1] 32175p3 [1,-1,1,-106655,-8945778] 4 [-256:1365:1] 32175p4 [1,-1,1,-1544405,-738350778] 2 [2039:66705:1] 32175p5 [1,-1,1,301720,-61217778] 2 [239:4830:1] 32175p6 [1,-1,1,-677030,207796722] 2 [-76:16125:1]
32175q (4 curves)	1	3- 5+ 11- 13+	-1 3- 5+ -4 11- 13+  2  4
Curve Equation t Generators 32175q1 [1,-1,1,-10130,394872] 2 [68:96:1] 32175q2 [1,-1,1,-11255,302622] 4 [-36:830:1] 32175q3 [1,-1,1,32620,2057622] 2 [-16:1245:1] 32175q4 [1,-1,1,-73130,-7369878] 2 [-135:236:1]
32175r (1 curve)	1	3- 5+ 11- 13+	2 3- 5+ -4 11- 13+  5 -5
Curve Equation t Generators 32175r1 [0,0,1,-88013325,-320066205719] 1 [5287780:1509653443:64]
32175s (1 curve)	1	3- 5+ 11- 13+	-2 3- 5+  0 11- 13+ -3 -1
Curve Equation t Generators 32175s1 [0,0,1,9675,7046156] 1 [570:14062:1]
32175t (1 curve)	0	3- 5+ 11- 13-	0 3- 5+  2 11- 13- -4  2
Curve Equation t 32175t1 [0,0,1,-300,7281] 1
32175u (1 curve)	0	3- 5+ 11- 13-	-2 3- 5+  4 11- 13- -6 -2
Curve Equation t 32175u1 [0,0,1,-5625,-21094] 1
32175v (2 curves)	1	3- 5- 11+ 13+	-2 3- 5-  2 11+ 13+  3  5
Curve Equation t Generators 32175v1 [0,0,1,-33375,8222656] 1 [250:3937:1] 32175v2 [0,0,1,-1642125,-1204527344] 1 [6678625:17259594187:1]
32175w (2 curves)	0	3- 5- 11+ 13-	2 3- 5- -2 11+ 13- -3  5
Curve Equation t 32175w1 [0,0,1,-1335,65781] 1 32175w2 [0,0,1,-65685,-9636219] 1
32175x (1 curve)	0	3- 5- 11- 13+	2 3- 5- -4 11- 13+  6 -2
Curve Equation t 32175x1 [0,0,1,-225,-169] 1
32175y (2 curves)	1	3- 5- 11- 13-	0 3- 5-  2 11- 13-  6  2
Curve Equation t Generators 32175y1 [0,0,1,-29550,-1955169] 1 [-578862:773:5832] 32175y2 [0,0,1,-34050,-1320444] 3 [-1230:4231:8]

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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