Cremona's table of elliptic curves

79475 = 5² · 11 · 17²

Class	r	Atkin-Lehner	Eigenvalues
79475a (2 curves)	1	5+ 11+ 17+	0  1 5+  2 11+ -2 17+  2
Curve Equation t Generators 79475a1 [0,1,1,77067,16396669] 1 [443377949:13323802330:571787] 79475a2 [0,1,1,-717683,-535557206] 1 [17811702034945838529536838:133100935835793652726303060:15887624684319234394569]
79475b (1 curve)	1	5+ 11+ 17+	0 -1 5+  4 11+  4 17+  4
Curve Equation t Generators 79475b1 [0,-1,1,-283,2593] 1 [-13:62:1]
79475c (1 curve)	1	5+ 11+ 17+	0 -2 5+  3 11+  0 17+  0
Curve Equation t Generators 79475c1 [0,1,1,-9633,-2055981] 1 [249:3323:1]
79475d (1 curve)	1	5+ 11+ 17+	0  3 5+  2 11+ -2 17+ -2
Curve Equation t Generators 79475d1 [0,0,1,4176050,-16816431344] 1 [93714595006759952709699890653140:1597641167691240444425447785968184:44537749860892402854000737757]
79475e (3 curves)	1	5+ 11+ 17+	2 -1 5+ -2 11+ -4 17+  0
Curve Equation t Generators 79475e1 [0,-1,1,-2408,108843] 1 [11598:78211:216] 79475e2 [0,-1,1,-74658,-14196657] 1 [19939249025920938:4545795424593561641:383606697096] 79475e3 [0,-1,1,-56501908,-163452944657] 1 [320308294694799637003363086139742265452753916086975895629918936348450111962908511362:72379144937668949190505547084708940816283368234190113544874086435417723237236983531909:6135652046427558393921486679326006538519291459151386868746196433867128705324904]
79475f (1 curve)	1	5+ 11+ 17+	-2  0 5+ -2 11+  2 17+  2
Curve Equation t Generators 79475f1 [0,0,1,425,-1594] 1 [19:115:1]
79475g (1 curve)	2	5+ 11+ 17-	-2  1 5+  0 11+  0 17- -6
Curve Equation t Generators 79475g1 [0,1,1,-2408,-54656] 1 [113:-1063:1]&[98:812:1]
79475h (1 curve)	0	5+ 11+ 17-	-2  3 5+  2 11+  2 17- -4
Curve Equation t 79475h1 [0,0,1,-2088025,1161463906] 1
79475i (2 curves)	0	5+ 11- 17+	0 -2 5+  5 11-  4 17+ -4
Curve Equation t 79475i1 [0,1,1,-95047283,356631436344] 1 79475i2 [0,1,1,-69759783,550554951969] 1
79475j (1 curve)	0	5+ 11- 17+	1  2 5+ -3 11-  0 17+  6
Curve Equation t 79475j1 [1,1,0,-150,16115] 1
79475k (4 curves)	0	5+ 11- 17+	-1  0 5+  0 11- -2 17+ -4
Curve Equation t 79475k1 [1,-1,1,5870,132872] 2 79475k2 [1,-1,1,-30255,1216622] 4 79475k3 [1,-1,1,-210880,-36353378] 2 79475k4 [1,-1,1,-427630,107713122] 2
79475l (1 curve)	0	5+ 11- 17+	-1  1 5+  3 11-  5 17+  2
Curve Equation t 79475l1 [1,0,0,12132,289337] 1
79475m (1 curve)	0	5+ 11- 17+	-1 -2 5+ -3 11- -4 17+  2
Curve Equation t 79475m1 [1,0,0,-1278253,-556360788] 1
79475n (1 curve)	0	5+ 11- 17+	-1  3 5+  3 11- -5 17+ -4
Curve Equation t 79475n1 [1,-1,1,13095,702202] 1
79475o (1 curve)	0	5+ 11- 17+	-1  3 5+ -3 11-  1 17+  2
Curve Equation t 79475o1 [1,-1,1,-8110695,8975062552] 1
79475p (1 curve)	0	5+ 11- 17+	2  0 5+  0 11-  4 17+  2
Curve Equation t 79475p1 [0,0,1,-20410625,-35492586719] 1
79475q (1 curve)	0	5+ 11- 17+	2  0 5+ -3 11- -2 17+ -4
Curve Equation t 79475q1 [0,0,1,-903125,372313281] 1
79475r (1 curve)	0	5+ 11- 17+	2 -2 5+  3 11- -4 17+  2
Curve Equation t 79475r1 [0,1,1,-129568,17908139] 1
79475s (1 curve)	2	5+ 11- 17+	-2  0 5+ -5 11- -4 17+  2
Curve Equation t Generators 79475s1 [0,0,1,50575,767656] 1 [34:1589:1]&[100:2612:1]
79475t (1 curve)	0	5+ 11- 17+	-2 -1 5+  0 11-  0 17+ -6
Curve Equation t 79475t1 [0,-1,1,-696008,-264347832] 1
79475u (1 curve)	2	5+ 11- 17+	-2 -3 5+ -2 11-  2 17+ -4
Curve Equation t Generators 79475u1 [0,0,1,-7225,236406] 1 [60:-138:1]&[-50:687:1]
79475v (1 curve)	1	5+ 11- 17-	0  1 5+ -4 11-  4 17-  4
Curve Equation t Generators 79475v1 [0,1,1,-81883,12249519] 1 [-966:36121:8]
79475w (1 curve)	1	5+ 11- 17-	0 -3 5+ -2 11- -2 17- -2
Curve Equation t Generators 79475w1 [0,0,1,14450,-3422844] 1 [510:11687:1]
79475x (1 curve)	1	5+ 11- 17-	-2  0 5+  2 11-  2 17-  2
Curve Equation t Generators 79475x1 [0,0,1,122825,-7830094] 1 [578:9533:8]
79475y (1 curve)	1	5- 11- 17+	1 -1 5- -3 11- -5 17+  2
Curve Equation t Generators 79475y1 [1,1,0,303300,36167125] 1 [-84:3221:1]
79475z (1 curve)	1	5- 11- 17+	1  2 5-  3 11-  4 17+  2
Curve Equation t Generators 79475z1 [1,1,0,-31956325,-69545098500] 1 [121860977925294048533374201464149708535482601918727411411150926528179077076476688755868311385329783205785464858894604186154158723293174667464:6094346991289831876182821013985657987884475435465686812084568407375650608622084558173798527900594120962877688062400686958645541866172584033906:15634086187477167663417123140864842658902932118592862974720751779031157588676673080898878317548514346878269390693570290944309053796804381]
79475ba (1 curve)	1	5- 11- 17+	1 -3 5-  3 11- -1 17+  2
Curve Equation t Generators 79475ba1 [1,-1,0,-202767367,1121680051666] 1 [-12006:1357078:1]
79475bb (1 curve)	1	5- 11- 17+	1 -3 5- -3 11-  5 17+ -4
Curve Equation t Generators 79475bb1 [1,-1,0,327383,88102666] 1 [-106:7278:1]
79475bc (1 curve)	1	5- 11- 17+	-1 -2 5-  3 11-  0 17+  6
Curve Equation t Generators 79475bc1 [1,0,0,-3763,2021892] 1 [1061:34005:1]
79475bd (1 curve)	1	5- 11- 17+	-2  0 5-  0 11- -4 17+  2
Curve Equation t Generators 79475bd1 [0,0,1,-816425,-283940694] 1 [6375:503582:1]
79475be (1 curve)	1	5- 11- 17+	-2  0 5-  3 11-  2 17+ -4
Curve Equation t Generators 79475be1 [0,0,1,-36125,2978506] 1 [85:-723:1]
79475bf (1 curve)	1	5- 11- 17+	-2  2 5- -3 11-  4 17+  2
Curve Equation t Generators 79475bf1 [0,-1,1,-3239208,2244995818] 1 [354179:131179:343]

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

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