Cremona's table of elliptic curves

5208 = 2³ · 3 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
5208a (2 curves)	1	2+ 3+ 7+ 31+	2+ 3+ -4 7+  6 -6 -6  6
Curve Equation t Generators 5208a1 [0,-1,0,-3760,-86564] 2 [90:544:1] 5208a2 [0,-1,0,-7000,88396] 2 [-47:558:1]
5208b (2 curves)	0	2+ 3+ 7+ 31-	2+ 3+  0 7+  2 -2 -2  2
Curve Equation t 5208b1 [0,-1,0,-288,-324] 2 5208b2 [0,-1,0,-3528,-79380] 2
5208c (1 curve)	0	2+ 3+ 7- 31+	2+ 3+ -1 7-  3 -3  1 -5
Curve Equation t 5208c1 [0,-1,0,1064,2572] 1
5208d (2 curves)	1	2+ 3- 7+ 31-	2+ 3-  0 7+  2 -2 -6  8
Curve Equation t Generators 5208d1 [0,1,0,-63,270] 2 [-3:21:1] 5208d2 [0,1,0,-1148,14592] 2 [16:24:1]
5208e (1 curve)	1	2+ 3- 7+ 31-	2+ 3- -3 7+  0  3 -4  6
Curve Equation t Generators 5208e1 [0,1,0,9263,-3547789] 1 [323:5766:1]
5208f (2 curves)	1	2+ 3- 7- 31+	2+ 3- -2 7-  0 -2 -6  6
Curve Equation t Generators 5208f1 [0,1,0,-64,-208] 2 [28:144:1] 5208f2 [0,1,0,56,-784] 2 [218:1179:8]
5208g (1 curve)	0	2- 3+ 7+ 31+	2- 3+  1 7+  0 -7  8 -6
Curve Equation t 5208g1 [0,-1,0,-225,-1227] 1
5208h (2 curves)	0	2- 3+ 7+ 31+	2- 3+  4 7+  6  2  2  0
Curve Equation t 5208h1 [0,-1,0,9,648] 2 5208h2 [0,-1,0,-1076,13668] 2
5208i (1 curve)	1	2- 3+ 7+ 31-	2- 3+  1 7+  3 -1  1  3
Curve Equation t Generators 5208i1 [0,-1,0,-499280,-290736372] 1 [850993425561553:5874943882907414:918613512361]
5208j (4 curves)	1	2- 3+ 7+ 31-	2- 3+ -2 7+  0  2 -2  0
Curve Equation t Generators 5208j1 [0,-1,0,-84,-252] 2 [-4:2:1] 5208j2 [0,-1,0,-264,1404] 4 [-15:42:1] 5208j3 [0,-1,0,-3984,98124] 2 [233:3430:1] 5208j4 [0,-1,0,576,7788] 2 [-7:58:1]
5208k (2 curves)	1	2- 3+ 7- 31+	2- 3+  0 7- -2 -2 -2  4
Curve Equation t Generators 5208k1 [0,-1,0,-3508,81124] 2 [-20:378:1] 5208k2 [0,-1,0,-2968,106396] 2 [-18:392:1]
5208l (4 curves)	1	2- 3- 7+ 31+	2- 3- -2 7+  4 -2  2 -8
Curve Equation t Generators 5208l1 [0,1,0,-1044,-10368] 4 [-12:24:1] 5208l2 [0,1,0,-15624,-756864] 4 [216:2448:1] 5208l3 [0,1,0,-249984,-48191328] 2 [867:19686:1] 5208l4 [0,1,0,-14544,-864864] 2 [1722:19635:8]
5208m (4 curves)	0	2- 3- 7- 31+	2- 3-  2 7-  4  2 -2  4
Curve Equation t 5208m1 [0,1,0,-47,-102] 2 5208m2 [0,1,0,-292,1760] 4 5208m3 [0,1,0,-4632,119808] 2 5208m4 [0,1,0,128,6800] 2
5208n (2 curves)	1	2- 3- 7- 31-	2- 3-  0 7- -2 -6  2  4
Curve Equation t Generators 5208n1 [0,1,0,-68,192] 2 [-2:18:1] 5208n2 [0,1,0,-8,576] 2 [0:24:1]

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