Cremona's table of elliptic curves

56749 = 7 · 11² · 67

Class	r	Atkin-Lehner	Eigenvalues
56749a (1 curve)	0	7+ 11- 67+	2 -2 -2 7+ 11- -2 -3  7
Curve Equation t 56749a1 [0,1,1,-50134,-4337569] 1
56749b (1 curve)	1	7- 11- 67+	0  0 -2 7- 11- -4 -1  7
Curve Equation t Generators 56749b1 [0,0,1,-609356,184373780] 1 [374:-2965:1]
56749c (4 curves)	1	7- 11- 67+	1  0 -2 7- 11-  6 -6  4
Curve Equation t Generators 56749c1 [1,-1,0,118735402,-850335497841] 2 [25314074747866369814:2052478014124870916833:3609317752486984] 56749c2 [1,-1,0,-953059003,-9321584116080] 4 [-1119833484331413033321835759632:-75216541143773021981384507621264:56619800902374598197283437] 56749c3 [1,-1,0,-4567848698,110295421681165] 4 [-11539011229173036:-5563213217632334173:373870425664] 56749c4 [1,-1,0,-14486979788,-671111363013481] 2 [-373610753006147552021839017418188851466402743428728:-503086067170368034567981477573932858326981009222081:5394574857887820815907127131537489442773545472]
56749d (1 curve)	1	7- 11- 67+	1 -3  1 7- 11- -3  0  4
Curve Equation t Generators 56749d1 [1,-1,0,-1414,-20069] 1 [146:1621:1]
56749e (1 curve)	1	7- 11- 67+	-1  1 -3 7- 11-  1  8 -8
Curve Equation t Generators 56749e1 [1,0,0,-9622,356071] 1 [87:-467:1]
56749f (2 curves)	1	7- 11- 67+	-1 -2  0 7- 11- -2 -4 -2
Curve Equation t Generators 56749f1 [1,0,0,-3596788,2625294255] 2 [1093:-312:1] 56749f2 [1,0,0,-57548873,168031596448] 2 [1502256:-751036:343]
56749g (1 curve)	1	7- 11- 67+	2 -2 -4 7- 11-  2 -3  5
Curve Equation t Generators 56749g1 [0,1,1,-40,-40375] 1 [298:843:8]
56749h (1 curve)	1	7- 11- 67+	-2 -2 -2 7- 11-  2  3 -7
Curve Equation t Generators 56749h1 [0,1,1,-414,3108] 1 [12:3:1]
56749i (1 curve)	2	7- 11- 67-	1 -1  1 7- 11- -5 -4  2
Curve Equation t Generators 56749i1 [1,1,0,-2422,-44293] 1 [-34:31:1]&[-194:339:8]
56749j (2 curves)	0	7- 11- 67-	1  2  0 7- 11- -6 -8  2
Curve Equation t 56749j1 [1,1,0,-1575,-21424] 2 56749j2 [1,1,0,2660,-112053] 2
56749k (1 curve)	2	7- 11- 67-	-1 -1  1 7- 11- -1 -4 -6
Curve Equation t Generators 56749k1 [1,1,1,-2834125,1835244654] 1 [1458:27645:1]&[-552:57125:1]

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

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