Cremona's table of elliptic curves

13272 = 2³ · 3 · 7 · 79

Class	r	Atkin-Lehner	Eigenvalues
13272a (2 curves)	1	2+ 3+ 7+ 79+	2+ 3+ -2 7+  4 -4 -6  6
Curve Equation t Generators 13272a1 [0,-1,0,-8384,-286212] 2 [1522:59248:1] 13272a2 [0,-1,0,1336,-919956] 2 [4172966:162705059:2744]
13272b (2 curves)	0	2+ 3+ 7+ 79-	2+ 3+  0 7+  0  4  2  6
Curve Equation t 13272b1 [0,-1,0,-208,1180] 2 13272b2 [0,-1,0,-568,-3572] 2
13272c (2 curves)	1	2+ 3- 7- 79+	2+ 3- -4 7-  4 -6  6 -8
Curve Equation t Generators 13272c1 [0,1,0,545,1094] 2 [5:63:1] 13272c2 [0,1,0,-2220,6624] 2 [-24:216:1]
13272d (2 curves)	0	2- 3+ 7+ 79+	2- 3+  0 7+  0 -6  6  4
Curve Equation t 13272d1 [0,-1,0,-183,-912] 2 13272d2 [0,-1,0,-2948,-60636] 2
13272e (4 curves)	1	2- 3+ 7- 79+	2- 3+  2 7-  4 -6 -2 -4
Curve Equation t Generators 13272e1 [0,-1,0,-292,-1148] 2 [-12:22:1] 13272e2 [0,-1,0,-1912,31900] 4 [150:1760:1] 13272e3 [0,-1,0,-30352,2045452] 2 [73:462:1] 13272e4 [0,-1,0,608,107500] 2 [9348:116105:64]
13272f (4 curves)	0	2- 3- 7+ 79-	2- 3-  2 7+  4 -2 -2  8
Curve Equation t 13272f1 [0,1,0,-5167,-85870] 2 13272f2 [0,1,0,-36372,2597760] 4 13272f3 [0,1,0,-578312,169081728] 2 13272f4 [0,1,0,6288,8365392] 2
13272g (2 curves)	1	2- 3- 7- 79-	2- 3-  0 7-  0 -2  6  0
Curve Equation t Generators 13272g1 [0,1,0,-148,-544] 2 [-10:6:1] 13272g2 [0,1,0,392,-3136] 2 [8:24:1]

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