Cremona's table of elliptic curves

12740 = 2² · 5 · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
12740a (1 curve)	2	2- 5+ 7+ 13+	2-  0 5+ 7+ -5 13+ -7 -1
Curve Equation t Generators 12740a1 [0,0,0,-14063,1051638] 1 [-49:1274:1]&[39:750:1]
12740b (1 curve)	1	2- 5+ 7+ 13-	2- -1 5+ 7+ -2 13- -6 -8
Curve Equation t Generators 12740b1 [0,-1,0,-18636,-1196600] 1 [229:2548:1]
12740c (2 curves)	0	2- 5+ 7- 13-	2-  2 5+ 7- -6 13- -6  4
Curve Equation t 12740c1 [0,-1,0,19,50] 2 12740c2 [0,-1,0,-156,680] 2
12740d (1 curve)	0	2- 5- 7- 13+	2-  1 5- 7- -2 13+  6  8
Curve Equation t 12740d1 [0,1,0,-380,3380] 1
12740e (2 curves)	0	2- 5- 7- 13+	2- -2 5- 7- -6 13+  6 -4
Curve Equation t 12740e1 [0,1,0,915,-18992] 2 12740e2 [0,1,0,-7660,-217932] 2
12740f (1 curve)	1	2- 5- 7- 13-	2-  0 5- 7- -5 13-  7  1
Curve Equation t Generators 12740f1 [0,0,0,-287,-3066] 1 [23:50:1]
12740g (2 curves)	1	2- 5- 7- 13-	2- -2 5- 7-  4 13- -2  0
Curve Equation t Generators 12740g1 [0,1,0,-13785,-627572] 2 [43172:1103843:64] 12740g2 [0,1,0,-13540,-650700] 2 [2683:138866:1]

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

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