Cremona's table of elliptic curves

82365 = 3 · 5 · 17² · 19

Class	r	Atkin-Lehner	Eigenvalues
82365a (4 curves)	1	3+ 5+ 17+ 19+	1 3+ 5+ -4  4 -2 17+ 19+
Curve Equation t Generators 82365a1 [1,1,0,-1312788,-579495933] 2 [81955982831081728:-4491154498103007925:24207794634752] 82365a2 [1,1,0,-1314233,-578158152] 4 [3468641408:86651033371:2097152] 82365a3 [1,1,0,-650978,-1160628693] 2 [59285806421440294:-6827583228819811923:4490491697992] 82365a4 [1,1,0,-2000608,89959273] 2 [45942:3352549:8]
82365b (2 curves)	1	3+ 5+ 17+ 19+	-1 3+ 5+  0  0  4 17+ 19+
Curve Equation t Generators 82365b1 [1,1,1,-60696,-5466432] 2 [-364416:770496:2197] 82365b2 [1,1,1,-183521,23471138] 2 [-466:3073:1]
82365c (2 curves)	1	3+ 5+ 17+ 19+	-1 3+ 5+ -2 -2  0 17+ 19+
Curve Equation t Generators 82365c1 [1,1,1,63574,407160254] 2 [28186:4718303:1] 82365c2 [1,1,1,-7870921,8319438668] 2 [49242:135038:27]
82365d (4 curves)	0	3+ 5+ 17+ 19-	-1 3+ 5+  4  0 -2 17+ 19-
Curve Equation t 82365d1 [1,1,1,-1900181,1006274594] 4 82365d2 [1,1,1,-2421826,409095398] 4 82365d3 [1,1,1,9246549,3214172748] 2 82365d4 [1,1,1,-22436521,-40605017596] 2
82365e (2 curves)	0	3+ 5- 17+ 19+	-1 3+ 5- -4  4 -4 17+ 19+
Curve Equation t 82365e1 [1,1,1,-2310850,1318085942] 2 82365e2 [1,1,1,-5381475,-2927974308] 2
82365f (2 curves)	1	3+ 5- 17+ 19-	-1 3+ 5-  2  6  0 17+ 19-
Curve Equation t Generators 82365f1 [1,1,1,5485,-5488] 2 [1870:29119:8] 82365f2 [1,1,1,-21970,-71380] 2 [205:1920:1]
82365g (2 curves)	1	3+ 5- 17+ 19-	-1 3+ 5- -2  2 -2 17+ 19-
Curve Equation t Generators 82365g1 [1,1,1,-24860,-1493260] 2 [-82:88:1] 82365g2 [1,1,1,-52315,2361422] 2 [392:-6699:1]
82365h (1 curve)	0	3+ 5- 17- 19-	-1 3+ 5-  4  3  2 17- 19-
Curve Equation t 82365h1 [1,1,1,-5823645,5407696620] 1
82365i (4 curves)	0	3- 5+ 17+ 19+	1 3- 5+ -4 -4  2 17+ 19+
Curve Equation t 82365i1 [1,0,1,6496,-910519] 2 82365i2 [1,0,1,-110549,-13223653] 4 82365i3 [1,0,1,-357644,66637451] 2 82365i4 [1,0,1,-1736174,-880657153] 2
82365j (2 curves)	0	3- 5+ 17+ 19+	-1 3- 5+  4 -4 -4 17+ 19+
Curve Equation t 82365j1 [1,0,0,-7996,267815] 2 82365j2 [1,0,0,-18621,-597060] 2
82365k (4 curves)	1	3- 5+ 17+ 19-	-1 3- 5+ -4  0  2 17+ 19-
Curve Equation t Generators 82365k1 [1,0,0,-8676,-5627649] 2 [878:25325:1] 82365k2 [1,0,0,-530321,-147410760] 4 [222594:4212761:216] 82365k3 [1,0,0,-942146,113109735] 2 [34925701818:-637091254735:32157432] 82365k4 [1,0,0,-8464816,-9479963779] 2 [36676:6982687:1]
82365l (1 curve)	1	3- 5+ 17+ 19-	-1 3- 5+ -4 -3  2 17+ 19-
Curve Equation t Generators 82365l1 [1,0,0,-20151,1099506] 1 [2307:409:27]
82365m (2 curves)	1	3- 5- 17+ 19+	1 3- 5-  2  2 -4 17+ 19+
Curve Equation t Generators 82365m1 [1,0,1,427,-86869] 2 [4755:60689:27] 82365m2 [1,0,1,-27028,-1668277] 2 [2742:41975:8]
82365n (2 curves)	1	3- 5- 17+ 19+	1 3- 5-  2  2  6 17+ 19+
Curve Equation t Generators 82365n1 [1,0,1,-17311164598,876671377644203] 2 [44400755316865959:-22866786529417880:584486749881] 82365n2 [1,0,1,-17311192053,876668457848881] 2 [54302355:481619953:729]
82365o (4 curves)	1	3- 5- 17+ 19+	1 3- 5- -4 -4 -6 17+ 19+
Curve Equation t Generators 82365o1 [1,0,1,-474978,-126024977] 2 [959:16860:1] 82365o2 [1,0,1,-511103,-105751627] 4 [-267:3553:1] 82365o3 [1,0,1,1244572,-673185787] 2 [75894:7402259:8] 82365o4 [1,0,1,-2844778,1759321433] 2 [-1727:39878:1]
82365p (2 curves)	1	3- 5- 17+ 19+	-1 3- 5-  0  0  4 17+ 19+
Curve Equation t Generators 82365p1 [1,0,0,-210,-1125] 2 [-9:12:1] 82365p2 [1,0,0,-635,4740] 2 [-23:97:1]
82365q (2 curves)	0	3- 5- 17+ 19-	-1 3- 5-  4  0 -4 17+ 19-
Curve Equation t 82365q1 [1,0,0,-295,71720] 2 82365q2 [1,0,0,-27750,1757457] 2

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

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