Cremona's table of elliptic curves

36113 = 7² · 11 · 67

Class	r	Atkin-Lehner	Eigenvalues
36113a (1 curve)	0	7- 11+ 67+	0  0  2 7- 11+ -4 -1  7
Curve Equation t 36113a1 [0,0,1,-246764,47513303] 1
36113b (2 curves)	0	7- 11+ 67+	1  2  0 7- 11+ -2 -4 -2
Curve Equation t 36113b1 [1,1,0,-1456550,676011239] 2 36113b2 [1,1,0,-23304915,43293432008] 2
36113c (2 curves)	1	7- 11+ 67-	-1 -2  0 7- 11+ -6 -8  2
Curve Equation t Generators 36113c1 [1,0,0,-638,-5405] 2 [-17:33:1] 36113c2 [1,0,0,1077,-29072] 2 [39:-289:1]
36113d (4 curves)	1	7- 11- 67+	-1  0  2 7- 11-  6 -6  4
Curve Equation t Generators 36113d1 [1,-1,1,48082931,-219136659500] 4 [98126746381683255:-31141930023083398129:981811403019] 36113d2 [1,-1,1,-385949514,-2402146244872] 4 [117944061599485710050383148097558:-36751035449408274706461726030076951:1169551670610704103736564104] 36113d3 [1,-1,1,-1849789969,28423406056518] 2 [4670380227904795896:-953052681944851048531:364239100919296] 36113d4 [1,-1,1,-5866628179,-172945520399410] 2 [3479486990029323104567072248253563208552301438542539290:-784070108434183606893051593996198865811964584097494212001:30312290564078069796068736785624652390065014899000]
36113e (1 curve)	1	7- 11- 67+	-2  2  4 7- 11-  2 -3  5
Curve Equation t Generators 36113e1 [0,-1,1,-16,-10396] 1 [42:247:1]
36113f (1 curve)	2	7- 11- 67-	1  1 -1 7- 11- -1 -4 -6
Curve Equation t Generators 36113f1 [1,0,1,-1147704,473153013] 1 [459:6336:1]&[4086:33967:8]
36113g (1 curve)	2	7- 11- 67-	-1  1 -1 7- 11- -5 -4  2
Curve Equation t Generators 36113g1 [1,0,0,-981,-11236] 1 [-20:32:1]&[-17:33:1]
36113h (1 curve)	2	7- 11- 67-	-2 -2  2 7- 11-  2 -7 -3
Curve Equation t Generators 36113h1 [0,1,1,19878,195444] 1 [-3:368:1]&[9:612:1]

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

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