Cremona's table of elliptic curves

1014 = 2 · 3 · 13²

Class	r	Atkin-Lehner	Eigenvalues
1014a (1 curve)	1	2+ 3+ 13+	2+ 3+ -1 -2  2 13+  5 -2
Curve Equation t Generators 1014a1 [1,1,0,-3,-99] 1 [18:-87:1]
1014b (2 curves)	0	2+ 3- 13+	2+ 3-  3  2  6 13+ -3  2
Curve Equation t 1014b1 [1,0,1,-10482,722308] 3 1014b2 [1,0,1,88383,-13514252] 1
1014c (4 curves)	1	2+ 3- 13-	2+ 3- -2 -2  0 13-  2  6
Curve Equation t Generators 1014c1 [1,0,1,48,-50] 2 [5:15:1] 1014c2 [1,0,1,-212,-466] 2 [-9:31:1] 1014c3 [1,0,1,-4437,113440] 2 [40:-1:1] 1014c4 [1,0,1,-70997,7275296] 2 [147:70:1]
1014d (1 curve)	0	2- 3+ 13+	2- 3+  1  2 -2 13+  5  2
Curve Equation t 1014d1 [1,1,1,-595,-214687] 1
1014e (4 curves)	0	2- 3+ 13+	2- 3+ -2 -4  4 13+  2  8
Curve Equation t 1014e1 [1,1,1,-3299,1521281] 4 1014e2 [1,1,1,-219619,39160961] 4 1014e3 [1,1,1,-395379,-32619423] 2 1014e4 [1,1,1,-3504979,2524207265] 2
1014f (2 curves)	1	2- 3- 13+	2- 3- -3 -2 -6 13+ -3 -2
Curve Equation t Generators 1014f1 [1,0,0,-62,324] 1 [4:10:1] 1014f2 [1,0,0,523,-6111] 1 [82:-809:1]
1014g (4 curves)	0	2- 3- 13-	2- 3-  2  2  0 13-  2 -6
Curve Equation t 1014g1 [1,0,0,8193,-117495] 2 1014g2 [1,0,0,-35747,-987507] 2 1014g3 [1,0,0,-749772,249978000] 2 1014g4 [1,0,0,-11998412,15995824272] 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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