Cremona's table of elliptic curves

11730 = 2 · 3 · 5 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
11730a (1 curve)	1	2+ 3+ 5+ 17+ 23+	2+ 3+ 5+  4 -6  7 17+  5
Curve Equation t Generators 11730a1 [1,1,0,-393,16677] 1 [33:186:1]
11730b (1 curve)	1	2+ 3+ 5- 17+ 23-	2+ 3+ 5- -4  3 -7 17+  1
Curve Equation t Generators 11730b1 [1,1,0,23,-251] 1 [18:71:1]
11730c (1 curve)	1	2+ 3+ 5- 17+ 23-	2+ 3+ 5- -4 -6 -1 17+  1
Curve Equation t Generators 11730c1 [1,1,0,-4157,101451] 1 [47:-136:1]
11730d (4 curves)	0	2+ 3- 5+ 17+ 23+	2+ 3- 5+  4 -4 -2 17+  4
Curve Equation t 11730d1 [1,0,1,-2009,-87748] 2 11730d2 [1,0,1,-44329,-3591844] 4 11730d3 [1,0,1,-709029,-229855724] 2 11730d4 [1,0,1,-56749,-1420828] 2
11730e (4 curves)	1	2+ 3- 5+ 17+ 23-	2+ 3- 5+  0  0 -2 17+ -4
Curve Equation t Generators 11730e1 [1,0,1,535301,349405766] 2 [13696:1598402:1] 11730e2 [1,0,1,-5383419,4201308742] 4 [878:11877:1] 11730e3 [1,0,1,-22383419,-36523891258] 2 [-2025:23368:1] 11730e4 [1,0,1,-83082939,291471974086] 2 [5294:492:1]
11730f (2 curves)	0	2+ 3- 5- 17- 23+	2+ 3- 5- -2  2  6 17-  4
Curve Equation t 11730f1 [1,0,1,110527977,-2101612407494] 2 11730f2 [1,0,1,-1939438103,-30775717948102] 2
11730g (4 curves)	0	2+ 3- 5- 17- 23+	2+ 3- 5-  4 -4  6 17-  4
Curve Equation t 11730g1 [1,0,1,-128,-562] 2 11730g2 [1,0,1,-208,206] 4 11730g3 [1,0,1,-2508,48046] 4 11730g4 [1,0,1,812,1838] 2
11730h (2 curves)	1	2- 3+ 5+ 17+ 23-	2- 3+ 5+ -2 -2  2 17+  4
Curve Equation t Generators 11730h1 [1,1,1,1529,-4627] 2 [37:304:1] 11730h2 [1,1,1,-6291,-45291] 2 [83:72:1]
11730i (4 curves)	0	2- 3+ 5- 17- 23+	2- 3+ 5- -4 -4 -6 17-  4
Curve Equation t 11730i1 [1,1,1,-220,-5203] 4 11730i2 [1,1,1,-6000,-180915] 4 11730i3 [1,1,1,-95930,-11476123] 2 11730i4 [1,1,1,-8550,-15675] 2
11730j (1 curve)	1	2- 3+ 5- 17- 23-	2- 3+ 5-  0 -2  1 17-  1
Curve Equation t Generators 11730j1 [1,1,1,-1645,-26845] 1 [95:780:1]
11730k (2 curves)	1	2- 3- 5+ 17+ 23+	2- 3- 5+ -2 -2  2 17+  4
Curve Equation t Generators 11730k1 [1,0,0,-451,5681] 2 [8:47:1] 11730k2 [1,0,0,-8271,288765] 2 [-42:771:1]
11730l (2 curves)	1	2- 3- 5+ 17+ 23+	2- 3- 5+ -4 -3  5 17+ -1
Curve Equation t Generators 11730l1 [1,0,0,-3741,87921] 3 [-24:417:1] 11730l2 [1,0,0,6519,439245] 1 [18:741:1]
11730m (4 curves)	0	2- 3- 5+ 17+ 23-	2- 3- 5+  0 -4  6 17+  4
Curve Equation t 11730m1 [1,0,0,-12946,-5001724] 2 11730m2 [1,0,0,-524946,-145596924] 4 11730m3 [1,0,0,-8385746,-9347449404] 2 11730m4 [1,0,0,-856146,60210756] 2
11730n (4 curves)	0	2- 3- 5+ 17+ 23-	2- 3- 5+ -4 -6 -4 17+ -4
Curve Equation t 11730n1 [1,0,0,27990244,6055958736] 6 11730n2 [1,0,0,-112660276,48560545880] 6 11730n3 [1,0,0,-360221696,-2877390539460] 2 11730n4 [1,0,0,-5911862566,-174957161274154] 2
11730o (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+  0 -1 -3 17-  1
Curve Equation t Generators 11730o1 [1,0,0,59419,1024262145] 1 [-872:18031:1]
11730p (1 curve)	0	2- 3- 5- 17+ 23+	2- 3- 5-  0  1  1 17+  7
Curve Equation t 11730p1 [1,0,0,60830910,-64095251400] 1
11730q (4 curves)	0	2- 3- 5- 17+ 23+	2- 3- 5-  4  0  6 17+ -4
Curve Equation t 11730q1 [1,0,0,2490,31572] 4 11730q2 [1,0,0,-12090,273600] 4 11730q3 [1,0,0,-90120,-10229238] 2 11730q4 [1,0,0,-167340,26324550] 2
11730r (2 curves)	0	2- 3- 5- 17+ 23+	2- 3- 5- -4  6  5 17+ -1
Curve Equation t 11730r1 [1,0,0,-13356170,-25024859100] 3 11730r2 [1,0,0,-1178719370,-15576378725340] 1
11730s (4 curves)	1	2- 3- 5- 17- 23+	2- 3- 5- -4  0 -2 17- -4
Curve Equation t Generators 11730s1 [1,0,0,-1185,-15543] 2 [-18:15:1] 11730s2 [1,0,0,-2465,23625] 4 [-20:265:1] 11730s3 [1,0,0,-33745,2382137] 4 [-196:1313:1] 11730s4 [1,0,0,8335,176985] 2 [52:841:1]

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

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