Cremona's table of elliptic curves

12012 = 2² · 3 · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
12012a (1 curve)	0	2- 3+ 7+ 11+ 13+	2- 3+  0 7+ 11+ 13+ -6 -6
Curve Equation t 12012a1 [0,-1,0,-500893,-137187479] 1
12012b (1 curve)	1	2- 3+ 7+ 11- 13+	2- 3+ -1 7+ 11- 13+  4 -3
Curve Equation t Generators 12012b1 [0,-1,0,-2101,37777] 1 [19:66:1]
12012c (2 curves)	0	2- 3+ 7+ 11- 13-	2- 3+ -2 7+ 11- 13-  0 -8
Curve Equation t 12012c1 [0,-1,0,-63029,9459378] 2 12012c2 [0,-1,0,-1155484,478341064] 2
12012d (2 curves)	1	2- 3- 7+ 11+ 13+	2- 3-  2 7+ 11+ 13+ -4  0
Curve Equation t Generators 12012d1 [0,1,0,7104603,9101976408] 2 [48666:4214067:8] 12012d2 [0,1,0,-46425692,91196036820] 2 [6291258790:346637461005:830584]
12012e (1 curve)	0	2- 3- 7+ 11+ 13-	2- 3-  0 7+ 11+ 13-  6  2
Curve Equation t 12012e1 [0,1,0,307,111] 1
12012f (2 curves)	1	2- 3- 7- 11+ 13-	2- 3- -2 7- 11+ 13-  0  0
Curve Equation t Generators 12012f1 [0,1,0,-72469,771930512] 2 [3788:234234:1] 12012f2 [0,1,0,-13067724,17936063316] 2 [915:82134:1]
12012g (2 curves)	1	2- 3- 7- 11+ 13-	2- 3- -3 7- 11+ 13-  0 -1
Curve Equation t Generators 12012g1 [0,1,0,923,11111] 3 [-7:66:1] 12012g2 [0,1,0,-9157,-512041] 1 [266:3993:1]
12012h (2 curves)	0	2- 3- 7- 11- 13-	2- 3- -2 7- 11- 13-  0  0
Curve Equation t 12012h1 [0,1,0,91,0] 2 12012h2 [0,1,0,-364,-364] 2
12012i (1 curve)	0	2- 3- 7- 11- 13-	2- 3-  4 7- 11- 13- -6  6
Curve Equation t 12012i1 [0,1,0,-110461,-14192113] 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
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