Cremona's table of elliptic curves

1248 = 2⁵ · 3 · 13

Class	r	Atkin-Lehner	Eigenvalues
1248a (2 curves)	1	2+ 3+ 13+	2+ 3+ -2 -2  6 13+ -2  6
Curve Equation t Generators 1248a1 [0,-1,0,-14,-12] 2 [-2:2:1] 1248a2 [0,-1,0,31,-111] 2 [5:12:1]
1248b (2 curves)	0	2+ 3+ 13-	2+ 3+  0  2  4 13- -6  6
Curve Equation t 1248b1 [0,-1,0,-98,-132] 2 1248b2 [0,-1,0,-1313,-17871] 2
1248c (2 curves)	0	2+ 3- 13+	2+ 3-  2  2 -2 13+  6  2
Curve Equation t 1248c1 [0,1,0,-2902,-61132] 2 1248c2 [0,1,0,-2497,-78385] 2
1248d (2 curves)	1	2+ 3- 13-	2+ 3-  0 -2 -4 13- -6 -6
Curve Equation t Generators 1248d1 [0,1,0,-98,132] 2 [-2:18:1] 1248d2 [0,1,0,-1313,17871] 2 [-5:156:1]
1248e (4 curves)	1	2+ 3- 13-	2+ 3- -2  0 -4 13- -6  8
Curve Equation t Generators 1248e1 [0,1,0,-234,1296] 4 [0:36:1] 1248e2 [0,1,0,-369,-513] 2 [-6:39:1] 1248e3 [0,1,0,-3744,86940] 2 [39:42:1] 1248e4 [0,1,0,-104,2856] 4 [-14:42:1]
1248f (2 curves)	0	2- 3+ 13+	2- 3+  2 -2  2 13+  6 -2
Curve Equation t 1248f1 [0,-1,0,-2902,61132] 2 1248f2 [0,-1,0,-2497,78385] 2
1248g (2 curves)	1	2- 3+ 13-	2- 3+  0 -2  0 13-  2  2
Curve Equation t Generators 1248g1 [0,-1,0,-18,36] 2 [0:6:1] 1248g2 [0,-1,0,-33,-15] 2 [-1:4:1]
1248h (4 curves)	1	2- 3+ 13-	2- 3+ -2  0  4 13- -6 -8
Curve Equation t Generators 1248h1 [0,-1,0,-234,-1296] 4 [234:3564:1] 1248h2 [0,-1,0,-3744,-86940] 2 [1898:28083:8] 1248h3 [0,-1,0,-369,513] 4 [1:12:1] 1248h4 [0,-1,0,-104,-2856] 2 [4398:11935:216]
1248i (2 curves)	1	2- 3- 13+	2- 3- -2  2 -6 13+ -2 -6
Curve Equation t Generators 1248i1 [0,1,0,-14,12] 2 [-2:6:1] 1248i2 [0,1,0,31,111] 2 [1:12:1]
1248j (2 curves)	0	2- 3- 13-	2- 3-  0  2  0 13-  2 -2
Curve Equation t 1248j1 [0,1,0,-18,-36] 2 1248j2 [0,1,0,-33,15] 2

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

Part of Computational Number Theory
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