Cremona's table of elliptic curves

82305 = 3² · 5 · 31 · 59

Class	r	Atkin-Lehner	Eigenvalues
82305a (1 curve)	0	3- 5+ 31+ 59+	0 3- 5+ -2  3  5 -7  3
Curve Equation t 82305a1 [0,0,1,-8457258,9466339738] 1
82305b (1 curve)	0	3- 5+ 31+ 59+	2 3- 5+  4 -3  1 -5 -1
Curve Equation t 82305b1 [0,0,1,-8733,313933] 1
82305c (4 curves)	1	3- 5+ 31+ 59-	-1 3- 5+ -4  4  6 -6 -4
Curve Equation t Generators 82305c1 [1,-1,1,-1091363,-438089358] 2 [4123240346126:75573868388349:2992209121] 82305c2 [1,-1,1,-1386608,-182052894] 4 [-52320:2279101:125] 82305c3 [1,-1,1,5280097,-1427393388] 2 [707202705:51677830931:166375] 82305c4 [1,-1,1,-12777233,17446078356] 2 [-1108:174456:1]
82305d (1 curve)	1	3- 5+ 31- 59+	-1 3- 5+  3  4  0  3  2
Curve Equation t Generators 82305d1 [1,-1,1,-7424708,7864143792] 1 [-1048:120912:1]
82305e (1 curve)	1	3- 5+ 31- 59+	2 3- 5+  0  1 -3  3 -1
Curve Equation t Generators 82305e1 [0,0,1,-246153,37164433] 1 [3122:5855:8]
82305f (1 curve)	2	3- 5+ 31- 59-	0 3- 5+ -2 -3  3 -3 -5
Curve Equation t Generators 82305f1 [0,0,1,-678,3208] 1 [-28:15:1]&[-2:67:1]
82305g (4 curves)	0	3- 5+ 31- 59-	1 3- 5+  0  4 -2  2  4
Curve Equation t 82305g1 [1,-1,0,-15435,741960] 2 82305g2 [1,-1,0,-15480,737451] 4 82305g3 [1,-1,0,-2925,1890000] 2 82305g4 [1,-1,0,-28755,-704214] 2
82305h (2 curves)	0	3- 5- 31- 59+	1 3- 5-  0 -4  2  0 -4
Curve Equation t 82305h1 [1,-1,0,-22119,-1261792] 2 82305h2 [1,-1,0,-353994,-80978167] 2

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

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