Cremona's table of elliptic curves

73997 = 7 · 11 · 31²

Class	r	Atkin-Lehner	Eigenvalues
73997a (1 curve)	0	7+ 11+ 31-	1  1 -2 7+ 11+  2  8 -3
Curve Equation t 73997a1 [1,0,1,-433912,111022861] 1
73997b (2 curves)	0	7+ 11+ 31-	1 -2 -2 7+ 11+ -4 -4  0
Curve Equation t 73997b1 [1,0,1,3343,-282081] 2 73997b2 [1,0,1,-49512,-3918505] 2
73997c (1 curve)	0	7+ 11+ 31-	1  3 -4 7+ 11+  0 -6  3
Curve Equation t 73997c1 [1,-1,0,161,-5596] 1
73997d (1 curve)	1	7+ 11- 31-	0  3 -1 7+ 11-  4 -2 -6
Curve Equation t Generators 73997d1 [0,0,1,1922,-7448] 1 [64674:676196:729]
73997e (1 curve)	1	7+ 11- 31-	1 -3 -4 7+ 11-  0  6  3
Curve Equation t Generators 73997e1 [1,-1,0,154541,165473644] 1 [-26892:341147:64]
73997f (1 curve)	1	7- 11+ 31-	0  1 -2 7- 11+  0  2 -6
Curve Equation t Generators 73997f1 [0,1,1,21,-233] 1 [7:17:1]
73997g (2 curves)	1	7- 11+ 31-	0 -1  3 7- 11+ -2  6  2
Curve Equation t Generators 73997g1 [0,-1,1,21,372] 1 [10:38:1] 73997g2 [0,-1,1,-3389,77097] 1 [15:171:1]
73997h (2 curves)	1	7- 11- 31+	0  1  3 7- 11-  2 -6  2
Curve Equation t Generators 73997h1 [0,1,1,19861,-11289410] 3 [27595416933020:10459078828732790:192100033] 73997h2 [0,1,1,-3257149,-2264233785] 1 [1292865:1470041219:1]
73997i (1 curve)	1	7- 11- 31+	0 -1 -2 7- 11-  0 -2 -6
Curve Equation t Generators 73997i1 [0,-1,1,19861,7133565] 1 [641:16817:1]
73997j (3 curves)	0	7- 11- 31-	0 -1  3 7- 11-  4  6  2
Curve Equation t 73997j1 [0,-1,1,-85849,-9653183] 1 73997j2 [0,-1,1,-47409,-18355038] 1 73997j3 [0,-1,1,423481,475373127] 1

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

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