Cremona's table of elliptic curves

27300 = 2² · 3 · 5² · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
27300a (4 curves)	0	2- 3+ 5+ 7+ 13+	2- 3+ 5+ 7+  0 13+  0 -4
Curve Equation t 27300a1 [0,-1,0,-31533,3533562] 2 27300a2 [0,-1,0,-588908,174090312] 2 27300a3 [0,-1,0,262467,-61219938] 2 27300a4 [0,-1,0,-1659908,-603329688] 2
27300b (2 curves)	0	2- 3+ 5+ 7+ 13+	2- 3+ 5+ 7+  0 13+  3  2
Curve Equation t 27300b1 [0,-1,0,-68,312] 1 27300b2 [0,-1,0,532,-3528] 1
27300c (4 curves)	0	2- 3+ 5+ 7+ 13+	2- 3+ 5+ 7+  0 13+ -6 -4
Curve Equation t 27300c1 [0,-1,0,4367,222262] 2 27300c2 [0,-1,0,-39508,2591512] 2 27300c3 [0,-1,0,-40633,-7270238] 2 27300c4 [0,-1,0,-864508,-308808488] 2
27300d (2 curves)	1	2- 3+ 5+ 7+ 13-	2- 3+ 5+ 7+  0 13- -2 -8
Curve Equation t Generators 27300d1 [0,-1,0,-33,5562] 2 [-3:75:1] 27300d2 [0,-1,0,-4908,132312] 2 [2:350:1]
27300e (2 curves)	0	2- 3+ 5+ 7- 13-	2- 3+ 5+ 7-  0 13-  4 -8
Curve Equation t 27300e1 [0,-1,0,1267,28962] 2 27300e2 [0,-1,0,-10108,324712] 2
27300f (2 curves)	0	2- 3+ 5+ 7- 13-	2- 3+ 5+ 7- -4 13-  6  0
Curve Equation t 27300f1 [0,-1,0,-2633,-71238] 2 27300f2 [0,-1,0,-46508,-3844488] 2
27300g (1 curve)	0	2- 3+ 5+ 7- 13-	2- 3+ 5+ 7- -4 13-  7 -2
Curve Equation t 27300g1 [0,-1,0,-12687708,-18446726088] 1
27300h (1 curve)	1	2- 3+ 5- 7+ 13+	2- 3+ 5- 7+ -5 13+  4 -2
Curve Equation t Generators 27300h1 [0,-1,0,-34958,-4208463] 1 [248:1521:1]
27300i (1 curve)	2	2- 3+ 5- 7- 13+	2- 3+ 5- 7- -5 13+ -4 -8
Curve Equation t Generators 27300i1 [0,-1,0,-1958,41937] 1 [2:195:1]&[32:105:1]
27300j (2 curves)	1	2- 3+ 5- 7- 13-	2- 3+ 5- 7- -4 13- -2 -6
Curve Equation t Generators 27300j1 [0,-1,0,510167,-75286838] 2 [493:-17199:1] 27300j2 [0,-1,0,-2341708,-639958088] 2 [-1158:22750:1]
27300k (1 curve)	1	2- 3+ 5- 7- 13-	2- 3+ 5- 7- -5 13-  0  4
Curve Equation t Generators 27300k1 [0,-1,0,3542,-77963] 1 [67:675:1]
27300l (1 curve)	1	2- 3- 5+ 7+ 13+	2- 3- 5+ 7+ -5 13+  0  4
Curve Equation t Generators 27300l1 [0,1,0,142,-567] 1 [22:117:1]
27300m (2 curves)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+  0 13- -4  0
Curve Equation t 27300m1 [0,1,0,-733,8288] 2 27300m2 [0,1,0,-12108,508788] 2
27300n (2 curves)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+  4 13- -2  8
Curve Equation t 27300n1 [0,1,0,127367,15657488] 2 27300n2 [0,1,0,-696508,144181988] 2
27300o (2 curves)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+  4 13-  4  0
Curve Equation t 27300o1 [0,1,0,103467,5518188] 2 27300o2 [0,1,0,-453908,45649188] 2
27300p (1 curve)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+ -5 13-  4 -8
Curve Equation t 27300p1 [0,1,0,-48958,5144213] 1
27300q (1 curve)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+ -6 13-  8  3
Curve Equation t 27300q1 [0,1,0,-9133,-347137] 1
27300r (1 curve)	0	2- 3- 5+ 7- 13+	2- 3- 5+ 7-  2 13+  4  1
Curve Equation t 27300r1 [0,1,0,-49533,10638063] 1
27300s (2 curves)	0	2- 3- 5+ 7- 13+	2- 3- 5+ 7-  4 13+ -8 -4
Curve Equation t 27300s1 [0,1,0,-133,-19012] 2 27300s2 [0,1,0,-11508,-474012] 2
27300t (2 curves)	1	2- 3- 5+ 7- 13-	2- 3- 5+ 7- -2 13- -4  4
Curve Equation t Generators 27300t1 [0,1,0,-7833,515088] 2 [213:-2925:1] 27300t2 [0,1,0,-155708,23583588] 2 [304:-2106:1]
27300u (1 curve)	1	2- 3- 5+ 7- 13-	2- 3- 5+ 7- -5 13- -4 -2
Curve Equation t Generators 27300u1 [0,1,0,-1398,-34227] 1 [57:273:1]
27300v (2 curves)	0	2- 3- 5- 7+ 13+	2- 3- 5- 7+ -4 13+  2 -6
Curve Equation t 27300v1 [0,1,0,20407,-594132] 2 27300v2 [0,1,0,-93668,-5157132] 2
27300w (1 curve)	0	2- 3- 5- 7+ 13+	2- 3- 5- 7+ -4 13+ -7 -2
Curve Equation t 27300w1 [0,1,0,-507508,-147776812] 1
27300x (2 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7-  0 13- -3  2
Curve Equation t 27300x1 [0,1,0,-1708,35588] 3 27300x2 [0,1,0,13292,-414412] 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