Cremona's table of elliptic curves

107632 = 2⁴ · 7 · 31²

Class	r	Atkin-Lehner	Eigenvalues
107632a (2 curves)	0	2+ 7+ 31-	2+  0  2 7+ -6  0 -4  4
Curve Equation t 107632a1 [0,0,0,961,-893730] 2 107632a2 [0,0,0,-133579,-18410838] 2
107632b (2 curves)	0	2+ 7+ 31-	2+  2 -4 7+  0  0  2  2
Curve Equation t 107632b1 [0,-1,0,-320,-121264] 2 107632b2 [0,-1,0,-38760,-2888944] 2
107632c (2 curves)	1	2+ 7- 31-	2+  0  2 7-  2  4  0  4
Curve Equation t Generators 107632c1 [0,0,0,-11992319,-68420095970] 2 [67195001390:14455586729850:1442897] 107632c2 [0,0,0,-335022859,-2353602742038] 2 [265148378250947663646:-53127717607885376320550:5509500978184659]
107632d (4 curves)	1	2+ 7- 31-	2+  0  2 7- -4 -2  6 -8
Curve Equation t Generators 107632d1 [0,0,0,961,59582] 2 [680693:12053280:2197] 107632d2 [0,0,0,-18259,893730] 4 [1245:43680:1] 107632d3 [0,0,0,-56699,-4111158] 2 [2418:20181:8] 107632d4 [0,0,0,-287339,59284090] 2 [-465:9610:1]
107632e (1 curve)	1	2+ 7- 31-	2+  1  1 7-  4 -4 -2  2
Curve Equation t Generators 107632e1 [0,1,0,-320,955412] 1 [1622:65348:1]
107632f (1 curve)	1	2- 7+ 31-	2-  1  1 7+  4  2  2  2
Curve Equation t Generators 107632f1 [0,1,0,8360,-838124] 1 [111930:2079232:343]
107632g (3 curves)	1	2- 7+ 31-	2-  1  3 7+  0  4  6 -2
Curve Equation t Generators 107632g1 [0,1,0,-61824,31123124] 1 [113780:3376954:125] 107632g2 [0,1,0,553216,-813941836] 1 [5525613885660:132012382180238:5979018375] 107632g3 [0,1,0,-51878944,-143915606156] 1 [39337531785896987942584426084020:7494891980133423617893103691895586:1041389280673658158331813625]
107632h (1 curve)	1	2- 7+ 31-	2- -1  1 7+ -4 -2 -2  2
Curve Equation t Generators 107632h1 [0,-1,0,8033640,25048889584] 1 [-11116644:1082962432:9261]
107632i (6 curves)	1	2- 7+ 31-	2- -2  0 7+  0  4 -6 -2
Curve Equation t Generators 107632i1 [0,1,0,-8008,555636] 2 [174:2112:1] 107632i2 [0,1,0,-161768,24972724] 2 [-52:5766:1] 107632i3 [0,1,0,68872,-11652908] 2 [24683865:-2112445214:3375] 107632i4 [0,1,0,-546168,-127526444] 2 [-35020:236406:125] 107632i5 [0,1,0,-2621928,-1639694540] 2 [3350571344386808118315:-280492546253982381278234:453276857610892125] 107632i6 [0,1,0,-41984488,-104722366668] 2 [-109844080432260:-881230078878:29360639125]
107632j (2 curves)	1	2- 7+ 31-	2- -2 -2 7+ -2  4  2  8
Curve Equation t Generators 107632j1 [0,1,0,322576,90197716] 2 [-188:4790:1] 107632j2 [0,1,0,-2137584,907954900] 2 [38450:7534240:1]
107632k (2 curves)	0	2- 7- 31-	2-  0  0 7- -2  2 -2  6
Curve Equation t 107632k1 [0,0,0,-110515,-9116046] 2 107632k2 [0,0,0,-725555,231118578] 2
107632l (2 curves)	0	2- 7- 31-	2-  0  2 7-  6 -6  6  0
Curve Equation t 107632l1 [0,0,0,-3379,-74958] 2 107632l2 [0,0,0,-899,-182590] 2
107632m (2 curves)	0	2- 7- 31-	2-  0  2 7- -6  6 -6  0
Curve Equation t 107632m1 [0,0,0,-3247219,2233073778] 2 107632m2 [0,0,0,-863939,5439538690] 2
107632n (2 curves)	0	2- 7- 31-	2-  2  2 7- -6 -4 -2  4
Curve Equation t 107632n1 [0,-1,0,-492352,142245120] 2 107632n2 [0,-1,0,-8026592,8755388288] 2
107632o (1 curve)	0	2- 7- 31-	2- -3 -3 7-  4 -4 -2 -6
Curve Equation t 107632o1 [0,0,0,-36344059,-84333137366] 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
Back to Tables and computations