Cremona's table of elliptic curves

80613 = 3² · 13² · 53

Class	r	Atkin-Lehner	Eigenvalues
80613a (2 curves)	1	3+ 13+ 53+	0 3+  0  1  6 13+ -6  4
Curve Equation t Generators 80613a1 [0,0,1,-369720,86528172] 1 [360:291:1] 80613a2 [0,0,1,-368550,87103019] 1 [243603:818459:729]
80613b (2 curves)	1	3+ 13+ 53+	0 3+  0 -1 -6 13+ -6 -4
Curve Equation t Generators 80613b1 [0,0,1,-62482680,190102394433] 3 [-204828:38255315:64] 80613b2 [0,0,1,-62284950,191365333292] 1 [662480:12580044:125]
80613c (1 curve)	1	3+ 13+ 53+	-2 3+ -4  4  1 13+ -2  5
Curve Equation t Generators 80613c1 [0,0,1,4563,-370744] 1 [52:84:1]
80613d (2 curves)	0	3+ 13+ 53-	0 3+  0  1 -6 13+  6  4
Curve Equation t 80613d1 [0,0,1,-40950,-3226038] 1 80613d2 [0,0,1,-3327480,-2336260651] 1
80613e (2 curves)	0	3+ 13+ 53-	0 3+  0 -1  6 13+  6 -4
Curve Equation t 80613e1 [0,0,1,-6920550,-7087604937] 3 80613e2 [0,0,1,-562344120,-5132764649698] 1
80613f (1 curve)	0	3+ 13+ 53-	2 3+  4  4 -1 13+  2  5
Curve Equation t 80613f1 [0,0,1,507,13731] 1
80613g (1 curve)	2	3- 13+ 53+	-2 3- -2 -2 -3 13+  0 -7
Curve Equation t Generators 80613g1 [0,0,1,-249951,-48225798] 1 [641:7411:1]&[884:-20534:1]
80613h (2 curves)	1	3- 13+ 53-	0 3-  0  4  3 13+ -6  7
Curve Equation t Generators 80613h1 [0,0,1,-20280,5181075] 1 [143:2281:1] 80613h2 [0,0,1,-2986230,1986257718] 1 [1664:40306:1]
80613i (1 curve)	1	3- 13+ 53-	1 3-  2 -2 -2 13+ -5  3
Curve Equation t Generators 80613i1 [1,-1,0,251694,-1674281075] 1 [5006300:225047315:2197]
80613j (1 curve)	1	3- 13+ 53-	-1 3-  0  4  0 13+  3  5
Curve Equation t Generators 80613j1 [1,-1,1,475,-20510] 1 [23660:3627449:1]
80613k (1 curve)	1	3- 13+ 53-	-1 3- -2  2  2 13+ -5 -3
Curve Equation t Generators 80613k1 [1,-1,1,1489,-762420] 1 [920:27444:1]
80613l (2 curves)	1	3- 13+ 53-	-1 3- -2 -2  2 13+  2 -4
Curve Equation t Generators 80613l1 [1,-1,1,-21326,-1191004] 2 [208:1723:1] 80613l2 [1,-1,1,-13721,-2057974] 2 [282:3913:1]
80613m (1 curve)	1	3- 13+ 53-	2 3- -2 -5 -4 13+ -7  2
Curve Equation t Generators 80613m1 [0,0,1,-599781,151580367] 1 [-3297904:43450141:4096]
80613n (1 curve)	1	3- 13+ 53-	-2 3-  2  5  4 13+ -7 -2
Curve Equation t Generators 80613n1 [0,0,1,-3549,68994] 1 [14:148:1]
80613o (2 curves)	1	3- 13- 53+	1 3- -2 -2  6 13- -2  4
Curve Equation t Generators 80613o1 [1,-1,0,-168,755] 2 [26:103:1] 80613o2 [1,-1,0,-753,-7084] 2 [-16:34:1]
80613p (2 curves)	1	3- 13- 53+	-1 3-  2  2 -6 13- -2 -4
Curve Equation t Generators 80613p1 [1,-1,1,-28424,1573498] 2 [5952:63058:27] 80613p2 [1,-1,1,-127289,-15945380] 2 [820:20339:1]

Data from Elliptic Curve Data by J. E. Cremona.
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