Cremona's table of elliptic curves

26712 = 2³ · 3² · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
26712a (2 curves)	0	2+ 3- 7+ 53+	2+ 3-  0 7+  4  2  2  2
Curve Equation t 26712a1 [0,0,0,-615,6554] 2 26712a2 [0,0,0,-10155,393878] 2
26712b (1 curve)	0	2+ 3- 7+ 53+	2+ 3- -1 7+  5  0  7 -4
Curve Equation t 26712b1 [0,0,0,-84243,9503566] 1
26712c (2 curves)	0	2+ 3- 7+ 53+	2+ 3-  2 7+  2 -6  4  8
Curve Equation t 26712c1 [0,0,0,-3639,123370] 2 26712c2 [0,0,0,-65379,6433198] 2
26712d (4 curves)	0	2+ 3- 7+ 53+	2+ 3-  2 7+ -4 -6 -2 -4
Curve Equation t 26712d1 [0,0,0,49641,-8751062] 2 26712d2 [0,0,0,-455979,-101481770] 4 26712d3 [0,0,0,-2001459,991172590] 2 26712d4 [0,0,0,-7000419,-7128901442] 2
26712e (1 curve)	0	2+ 3- 7+ 53+	2+ 3- -3 7+ -3  4  4  3
Curve Equation t 26712e1 [0,0,0,-14910268764,-700772998802924] 1
26712f (1 curve)	2	2+ 3- 7+ 53+	2+ 3- -3 7+ -3 -4 -4  3
Curve Equation t Generators 26712f1 [0,0,0,-444,3796] 1 [20:-54:1]&[14:18:1]
26712g (1 curve)	1	2+ 3- 7+ 53-	2+ 3- -2 7+ -2  5 -3 -1
Curve Equation t Generators 26712g1 [0,0,0,-22851,1334286] 1 [-41:1484:1]
26712h (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  3 7+ -1  2  6  3
Curve Equation t Generators 26712h1 [0,0,0,-2196,1125252] 1 [-72:954:1]
26712i (1 curve)	1	2+ 3- 7- 53+	2+ 3-  3 7- -3 -4 -5  8
Curve Equation t Generators 26712i1 [0,0,0,137229,-1870738] 1 [217130:9251424:125]
26712j (1 curve)	2	2+ 3- 7- 53-	2+ 3- -1 7- -3 -6 -2 -3
Curve Equation t Generators 26712j1 [0,0,0,-13548,733556] 1 [118:-882:1]&[76:378:1]
26712k (1 curve)	0	2+ 3- 7- 53-	2+ 3-  2 7-  2  1 -3  3
Curve Equation t 26712k1 [0,0,0,141,-2018] 1
26712l (4 curves)	1	2- 3- 7+ 53+	2- 3-  2 7+  4 -2 -2  0
Curve Equation t Generators 26712l1 [0,0,0,-7794,-264843] 2 [1974:87615:1] 26712l2 [0,0,0,-7839,-261630] 4 [105:270:1] 26712l3 [0,0,0,981,-817290] 2 [11655:36396:125] 26712l4 [0,0,0,-17379,499662] 2 [3153:6760:27]
26712m (4 curves)	0	2- 3- 7- 53+	2- 3- -2 7- -4 -2  6  4
Curve Equation t 26712m1 [0,0,0,-13026,-571979] 2 26712m2 [0,0,0,-15231,-365150] 4 26712m3 [0,0,0,51549,-2702450] 2 26712m4 [0,0,0,-117291,15209206] 2
26712n (2 curves)	0	2- 3- 7- 53+	2- 3-  4 7-  4 -2 -6  6
Curve Equation t 26712n1 [0,0,0,-138,565] 2 26712n2 [0,0,0,177,2770] 2
26712o (1 curve)	1	2- 3- 7- 53-	2- 3-  1 7-  1  4 -4 -5
Curve Equation t Generators 26712o1 [0,0,0,-12612,-553772] 1 [3284:188082:1]
26712p (4 curves)	1	2- 3- 7- 53-	2- 3- -2 7-  4 -2  2  4
Curve Equation t Generators 26712p1 [0,0,0,-111,12850] 4 [-19:90:1] 26712p2 [0,0,0,-8931,321550] 4 [66:140:1] 26712p3 [0,0,0,-16491,-302906] 2 [282:4180:1] 26712p4 [0,0,0,-142491,20702806] 2 [22052:226395:64]
26712q (1 curve)	1	2- 3- 7- 53-	2- 3-  3 7-  5 -4  0 -3
Curve Equation t Generators 26712q1 [0,0,0,204,-8332] 1 [52:378:1]

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