Cremona's table of elliptic curves

118575 = 3² · 5² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
118575a (1 curve)	1	3+ 5+ 17+ 31+	-2 3+ 5+ -2  3  1 17+ -1
Curve Equation t Generators 118575a1 [0,0,1,-31725,3988406] 1 [1938:25943:8]
118575b (2 curves)	2	3+ 5+ 17+ 31-	-1 3+ 5+ -2 -2 -4 17+ -4
Curve Equation t Generators 118575b1 [1,-1,1,-74630,-26047628] 2 [514:8180:1]&[4510:299996:1] 118575b2 [1,-1,1,-1853255,-968718878] 2 [-791:1745:1]&[124095:7928617:27]
118575c (1 curve)	2	3+ 5+ 17+ 31-	-1 3+ 5+  4 -5 -1 17+ -4
Curve Equation t Generators 118575c1 [1,-1,1,-476255,126623872] 1 [-496:15760:1]&[379:485:1]
118575d (1 curve)	0	3+ 5+ 17- 31+	2 3+ 5+ -2 -3  1 17- -1
Curve Equation t 118575d1 [0,0,1,-3525,-147719] 1
118575e (2 curves)	1	3+ 5+ 17- 31-	1 3+ 5+ -2  2 -4 17- -4
Curve Equation t Generators 118575e1 [1,-1,0,-8292,967491] 2 [-2:993:1] 118575e2 [1,-1,0,-205917,35947116] 2 [2534:11197:8]
118575f (1 curve)	1	3+ 5+ 17- 31-	1 3+ 5+  4  5 -1 17- -4
Curve Equation t Generators 118575f1 [1,-1,0,-52917,-4672134] 1 [336882:10064634:343]
118575g (1 curve)	0	3- 5+ 17+ 31+	0 3- 5+  2 -1 -1 17+  3
Curve Equation t 118575g1 [0,0,1,-28200,-1851219] 1
118575h (2 curves)	0	3- 5+ 17+ 31+	-1 3- 5+ -2  0  0 17+  8
Curve Equation t 118575h1 [1,-1,1,-627980,-237601978] 2 118575h2 [1,-1,1,-10706855,-13481243728] 2
118575i (1 curve)	1	3- 5+ 17+ 31-	1 3- 5+  2 -1  5 17+  2
Curve Equation t Generators 118575i1 [1,-1,0,-1071567,427727466] 1 [5358:400396:27]
118575j (4 curves)	1	3- 5+ 17+ 31-	-1 3- 5+  0 -4 -6 17+ -4
Curve Equation t Generators 118575j1 [1,-1,1,1795,-16828] 2 [34:270:1] 118575j2 [1,-1,1,-8330,-138328] 4 [-56:415:1] 118575j3 [1,-1,1,-65705,6402422] 2 [-186:3580:1] 118575j4 [1,-1,1,-112955,-14576578] 2 [-191:145:1]
118575k (1 curve)	1	3- 5+ 17- 31+	-1 3- 5+  1  3  1 17-  5
Curve Equation t Generators 118575k1 [1,-1,1,1120,-39378] 1 [39:230:1]
118575l (1 curve)	1	3- 5+ 17- 31+	-1 3- 5+  2 -3  3 17-  2
Curve Equation t Generators 118575l1 [1,-1,1,1120,-628] 1 [4:60:1]
118575m (1 curve)	1	3- 5+ 17- 31+	-1 3- 5+ -2  6  1 17-  2
Curve Equation t Generators 118575m1 [1,-1,1,-202730,34796022] 1 [198:1446:1]
118575n (1 curve)	0	3- 5+ 17- 31-	1 3- 5+  2 -5  1 17- -6
Curve Equation t 118575n1 [1,-1,0,-70542,-34314759] 1
118575o (1 curve)	0	3- 5+ 17- 31-	1 3- 5+ -2  2 -7 17-  2
Curve Equation t 118575o1 [1,-1,0,-792,2241] 1
118575p (1 curve)	0	3- 5+ 17- 31-	1 3- 5+ -5  5  5 17- -7
Curve Equation t 118575p1 [1,-1,0,-1665792,-863559009] 1
118575q (1 curve)	1	3- 5- 17+ 31+	-1 3- 5- -1  1  5 17+ -5
Curve Equation t Generators 118575q1 [1,-1,1,-28805,-1874928] 1 [3102:52195:8]
118575r (2 curves)	1	3- 5- 17+ 31+	-1 3- 5-  2 -2  2 17+  4
Curve Equation t Generators 118575r1 [1,-1,1,263695,123630072] 2 [13340:1535223:1] 118575r2 [1,-1,1,-2700680,1499100072] 2 [4590495:-529487202:343]
118575s (1 curve)	1	3- 5- 17+ 31+	-1 3- 5- -4  4 -1 17+  4
Curve Equation t Generators 118575s1 [1,-1,1,-3263974430,43792124426322] 1 [-292306701650165818850103003734849214:647911729147078094272877777732195073422:87629854051717958715382631222407]
118575t (1 curve)	0	3- 5- 17- 31+	1 3- 5-  1  1 -5 17- -5
Curve Equation t 118575t1 [1,-1,0,-1152,-14769] 1
118575u (2 curves)	0	3- 5- 17- 31+	1 3- 5- -2 -2 -2 17-  4
Curve Equation t 118575u1 [1,-1,0,10548,986931] 2 118575u2 [1,-1,0,-108027,12014406] 2
118575v (1 curve)	0	3- 5- 17- 31+	1 3- 5-  4  4  1 17-  4
Curve Equation t 118575v1 [1,-1,0,-130558977,350363107206] 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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