Cremona's table of elliptic curves

40733 = 7 · 11 · 23²

Class	r	Atkin-Lehner	Eigenvalues
40733a (3 curves)	1	7+ 11- 23-	0  1 -3 7+ 11- -4  6 -2
Curve Equation t Generators 40733a1 [0,1,1,-47257,-3969915] 1 [147255:4963249:125] 40733a2 [0,1,1,-26097,-7511570] 1 [286:2915:1] 40733a3 [0,1,1,233113,194283415] 1 [-421:4658:1]
40733b (2 curves)	1	7+ 11- 23-	0 -2 -3 7+ 11-  2  0 -2
Curve Equation t Generators 40733b1 [0,1,1,-10227,-437253] 1 [245:3438:1] 40733b2 [0,1,1,63833,581072] 1 [268:6083:1]
40733c (1 curve)	1	7+ 11- 23-	1  3  0 7+ 11- -1 -2  4
Curve Equation t Generators 40733c1 [1,-1,0,-3802,-147715] 1 [26045755092:-284063291245:182284263]
40733d (1 curve)	1	7+ 11- 23-	-1 -1  1 7+ 11- -1  0 -5
Curve Equation t Generators 40733d1 [1,1,1,-3185,63324] 1 [-56:292:1]
40733e (1 curve)	1	7+ 11- 23-	-1 -2 -1 7+ 11- -3 -2 -4
Curve Equation t Generators 40733e1 [1,0,0,-21699591,38984528554] 1 [1587:91645:1]
40733f (2 curves)	1	7- 11+ 23-	1  2  2 7- 11+  4 -4  0
Curve Equation t Generators 40733f1 [1,1,0,1841,-114552] 2 [33822:2182671:8] 40733f2 [1,1,0,-27254,-1610035] 2 [665937018:42947065981:157464]
40733g (1 curve)	1	7- 11+ 23-	1  3  0 7- 11+ -1  2 -4
Curve Equation t Generators 40733g1 [1,-1,0,-7,14] 1 [-78:92:27]
40733h (1 curve)	1	7- 11+ 23-	1 -3 -3 7- 11+ -1 -4  5
Curve Equation t Generators 40733h1 [1,-1,0,-133936,13676113] 1 [-408:733:1]
40733i (1 curve)	1	7- 11+ 23-	-1 -2  1 7- 11+ -3  2  4
Curve Equation t Generators 40733i1 [1,0,0,-41020,-3207687] 1 [259:1757:1]
40733j (2 curves)	1	7- 11+ 23-	-1 -2  4 7- 11+ -6 -4  4
Curve Equation t Generators 40733j1 [1,0,0,5279,363408] 2 [766:10197:8] 40733j2 [1,0,0,-55556,4439353] 2 [-48:2669:1]
40733k (1 curve)	0	7- 11- 23-	0 -3  1 7- 11- -4 -2  6
Curve Equation t 40733k1 [0,0,1,1058,-3042] 1

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

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