Cremona's table of elliptic curves

78771 = 3 · 7 · 11² · 31

Class	r	Atkin-Lehner	Eigenvalues
78771a (1 curve)	0	3+ 7+ 11- 31+	1 3+  0 7+ 11-  2 -3  0
Curve Equation t 78771a1 [1,1,0,-2496595,1517543878] 1
78771b (2 curves)	0	3+ 7+ 11- 31+	-1 3+ -2 7+ 11- -4 -8  4
Curve Equation t 78771b1 [1,1,1,-677179,214958096] 2 78771b2 [1,1,1,-10845414,13742777940] 2
78771c (2 curves)	0	3+ 7+ 11- 31+	-1 3+  4 7+ 11-  2 -2 -8
Curve Equation t 78771c1 [1,1,1,-426,-2034] 2 78771c2 [1,1,1,1389,-12924] 2
78771d (1 curve)	1	3+ 7+ 11- 31-	0 3+ -1 7+ 11- -3 -2  6
Curve Equation t Generators 78771d1 [0,-1,1,-8631,2662868] 1 [136:1996:1]
78771e (1 curve)	1	3+ 7+ 11- 31-	-2 3+  1 7+ 11-  3 -2  2
Curve Equation t Generators 78771e1 [0,-1,1,53200,-1702570] 1 [730:20630:1]
78771f (1 curve)	1	3+ 7+ 11- 31-	-2 3+  3 7+ 11-  3 -6 -2
Curve Equation t Generators 78771f1 [0,-1,1,-6574,242868] 1 [-51:665:1]
78771g (1 curve)	1	3+ 7- 11- 31+	-1 3+  0 7- 11- -2  3  0
Curve Equation t Generators 78771g1 [1,1,1,-20633,-1149532] 1 [208:1796:1]
78771h (1 curve)	1	3+ 7- 11- 31+	2 3+  1 7- 11-  5 -4  6
Curve Equation t Generators 78771h1 [0,-1,1,-1329830,8550426785] 1 [379356870:44882761283:27000]
78771i (1 curve)	1	3+ 7- 11- 31+	2 3+  3 7- 11-  1  0 -6
Curve Equation t Generators 78771i1 [0,-1,1,686,-53703] 1 [1619400:91062771:512]
78771j (1 curve)	1	3+ 7- 11- 31+	-2 3+ -3 7- 11- -7  4 -2
Curve Equation t Generators 78771j1 [0,-1,1,-214452,-41874328] 1 [895:21961:1]
78771k (1 curve)	0	3- 7+ 11+ 31+	1 3- -3 7+ 11+  0  7  2
Curve Equation t 78771k1 [1,0,1,20325,-566645] 1
78771l (1 curve)	1	3- 7+ 11- 31+	0 3-  1 7+ 11-  6  3  6
Curve Equation t Generators 78771l1 [0,1,1,-131325,10871768] 1 [582:11485:1]
78771m (4 curves)	1	3- 7+ 11- 31+	1 3- -2 7+ 11-  6 -6  4
Curve Equation t Generators 78771m1 [1,0,1,4353,112165] 2 [41:579:1] 78771m2 [1,0,1,-25292,1060805] 4 [-45:1474:1] 78771m3 [1,0,1,-156577,-23043121] 2 [3734:17083:8] 78771m4 [1,0,1,-368327,85996271] 2 [3798:32219:8]
78771n (1 curve)	1	3- 7+ 11- 31+	-2 3-  1 7+ 11- -3 -6 -2
Curve Equation t Generators 78771n1 [0,1,1,-46432580,283343486102] 1 [38650913058:3297895610002:4330747]
78771o (1 curve)	1	3- 7+ 11- 31+	-2 3-  3 7+ 11-  4 -3  4
Curve Equation t Generators 78771o1 [0,1,1,-23514,1376414] 1 [2532:1862:27]
78771p (3 curves)	2	3- 7+ 11- 31-	0 3- -3 7+ 11- -5  0 -2
Curve Equation t Generators 78771p1 [0,1,1,2743,121160] 1 [40:-545:1]&[-26:181:1] 78771p2 [0,1,1,-127937,17602877] 1 [403:5626:1]&[-279:5626:1] 78771p3 [0,1,1,-10368167,12846484250] 1 [876:66610:1]&[1866:544:1]
78771q (1 curve)	0	3- 7+ 11- 31-	-2 3- -1 7+ 11-  4  5 -4
Curve Equation t 78771q1 [0,1,1,-645002156,-3577641987958] 1
78771r (1 curve)	1	3- 7- 11+ 31+	-1 3- -3 7- 11+  0 -7 -2
Curve Equation t Generators 78771r1 [1,0,0,168,441] 1 [21:-126:1]
78771s (1 curve)	2	3- 7- 11- 31+	0 3-  1 7- 11- -6 -3 -6
Curve Equation t Generators 78771s1 [0,1,1,-1085,-8563] 1 [-21:73:1]&[-11:46:1]
78771t (1 curve)	0	3- 7- 11- 31+	2 3-  3 7- 11- -4  3 -4
Curve Equation t 78771t1 [0,1,1,-194,-1105] 1
78771u (4 curves)	1	3- 7- 11- 31-	-1 3-  2 7- 11-  2 -2  4
Curve Equation t Generators 78771u1 [1,0,0,-18092,-938145] 2 [-672510218955:346564953137:8678316375] 78771u2 [1,0,0,-18697,-872200] 4 [112175:1759505:343] 78771u3 [1,0,0,27888,-4515147] 2 [1251:43968:1] 78771u4 [1,0,0,-74962,6993647] 2 [-4713:106114:27]
78771v (2 curves)	1	3- 7- 11- 31-	-1 3- -2 7- 11-  4  0  4
Curve Equation t Generators 78771v1 [1,0,0,421,6744] 2 [-11:34:1] 78771v2 [1,0,0,-3814,77045] 2 [-67:215:1]
78771w (1 curve)	1	3- 7- 11- 31-	2 3- -1 7- 11- -4 -5  4
Curve Equation t Generators 78771w1 [0,1,1,-5330596,2685996979] 1 [1114:352943:8]

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