Cremona's table of elliptic curves

12441 = 3 · 11 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
12441a (1 curve)	0	3+ 11+ 13+ 29-	2 3+ -3 -2 11+ 13+  3  0
Curve Equation t 12441a1 [0,-1,1,-1342,-18483] 1
12441b (4 curves)	1	3+ 11+ 13- 29-	1 3+ -2  4 11+ 13- -6  4
Curve Equation t Generators 12441b1 [1,1,0,-16826,642039] 2 [2:779:1] 12441b2 [1,1,0,-90031,-9884840] 4 [24564:212033:64] 12441b3 [1,1,0,-1419216,-651349521] 2 [28086:4688655:1] 12441b4 [1,1,0,67874,-40676315] 4 [2406767370:-202954688999:343000]
12441c (4 curves)	1	3+ 11+ 13- 29-	-1 3+  2  0 11+ 13-  2  8
Curve Equation t Generators 12441c1 [1,1,1,163,-166] 4 [370:2108:125] 12441c2 [1,1,1,-682,-2194] 4 [-22:63:1] 12441c3 [1,1,1,-8547,-307356] 2 [126:734:1] 12441c4 [1,1,1,-6337,190076] 2 [355:6367:1]
12441d (2 curves)	0	3+ 11- 13+ 29+	1 3+  4  4 11- 13+ -2  6
Curve Equation t 12441d1 [1,1,0,-10708373,-13550362560] 2 12441d2 [1,1,0,-171539758,-864830883365] 2
12441e (1 curve)	1	3+ 11- 13+ 29-	-2 3+  1 -2 11- 13+  7  0
Curve Equation t Generators 12441e1 [0,-1,1,-580,21030] 1 [-9:159:1]
12441f (2 curves)	0	3- 11+ 13+ 29+	1 3- -2  2 11+ 13+  2  0
Curve Equation t 12441f1 [1,0,1,-107,401] 2 12441f2 [1,0,1,38,1445] 2
12441g (2 curves)	1	3- 11+ 13+ 29-	-1 3-  0 -4 11+ 13+  2  2
Curve Equation t Generators 12441g1 [1,0,0,797,-16912] 2 [29:161:1] 12441g2 [1,0,0,-7068,-194661] 2 [-39:168:1]
12441h (2 curves)	0	3- 11+ 13- 29-	0 3-  3  2 11+ 13- -3 -4
Curve Equation t 12441h1 [0,1,1,-14099,12429149] 3 12441h2 [0,1,1,126841,-334882246] 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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