Cremona's table of elliptic curves

77376 = 2⁶ · 3 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
77376a (1 curve)	1	2+ 3+ 13+ 31+	2+ 3+  0 -2 -1 13+ -4  0
Curve Equation t Generators 77376a1 [0,-1,0,-53,183] 1 [2:9:1]
77376b (3 curves)	0	2+ 3+ 13+ 31-	2+ 3+  0 -1  0 13+  3 -2
Curve Equation t 77376b1 [0,-1,0,-392993,94957473] 1 77376b2 [0,-1,0,-194273,190393185] 1 77376b3 [0,-1,0,1740127,-5003780319] 1
77376c (1 curve)	0	2+ 3+ 13+ 31-	2+ 3+  0 -1 -4 13+  1  2
Curve Equation t 77376c1 [0,-1,0,-9153,356481] 1
77376d (1 curve)	0	2+ 3+ 13+ 31-	2+ 3+  0  2  5 13+  4  8
Curve Equation t 77376d1 [0,-1,0,19627,146061] 1
77376e (1 curve)	0	2+ 3+ 13+ 31-	2+ 3+  2 -2 -3 13+  0  2
Curve Equation t 77376e1 [0,-1,0,-757,-9107] 1
77376f (2 curves)	0	2+ 3+ 13- 31+	2+ 3+  0  0 -2 13-  0  4
Curve Equation t 77376f1 [0,-1,0,-213,-9675] 2 77376f2 [0,-1,0,-8273,-285327] 2
77376g (1 curve)	0	2+ 3+ 13- 31+	2+ 3+  0 -3  4 13-  3 -2
Curve Equation t 77376g1 [0,-1,0,-33,-38751] 1
77376h (2 curves)	0	2+ 3+ 13- 31+	2+ 3+  0  4  6 13-  6  4
Curve Equation t 77376h1 [0,-1,0,-16333,-852131] 2 77376h2 [0,-1,0,-266193,-52773039] 2
77376i (1 curve)	2	2+ 3+ 13- 31+	2+ 3+ -1 -3  0 13- -2 -1
Curve Equation t Generators 77376i1 [0,-1,0,279,-2511] 1 [8:13:1]&[72:621:1]
77376j (1 curve)	2	2+ 3+ 13- 31+	2+ 3+ -3  1  0 13-  0 -5
Curve Equation t Generators 77376j1 [0,-1,0,14703,257049] 1 [0:507:1]&[104:1703:1]
77376k (4 curves)	1	2+ 3+ 13- 31-	2+ 3+  2  0  4 13- -2  8
Curve Equation t Generators 77376k1 [0,-1,0,-1617,-24495] 2 [1331843:18075680:6859] 77376k2 [0,-1,0,-1697,-21855] 4 [769:21280:1] 77376k3 [0,-1,0,3263,-129983] 2 [33:112:1] 77376k4 [0,-1,0,-7937,253953] 4 [96320:2654813:125]
77376l (4 curves)	1	2+ 3+ 13- 31-	2+ 3+ -2  0  0 13-  2 -4
Curve Equation t Generators 77376l1 [0,-1,0,-564,5310] 2 [218:777:8] 77376l2 [0,-1,0,-969,-2871] 4 [-16:91:1] 77376l3 [0,-1,0,3711,-26271] 4 [56:595:1] 77376l4 [0,-1,0,-12129,-509535] 2 [-63:24:1]
77376m (1 curve)	1	2+ 3+ 13- 31-	2+ 3+  3  3  0 13-  2 -3
Curve Equation t Generators 77376m1 [0,-1,0,-7649,880617] 1 [4282:97929:8]
77376n (1 curve)	0	2+ 3- 13+ 31+	2+ 3-  0  1  4 13+  1 -2
Curve Equation t 77376n1 [0,1,0,-9153,-356481] 1
77376o (1 curve)	0	2+ 3- 13+ 31+	2+ 3- -2  2 -1 13+  8 -6
Curve Equation t 77376o1 [0,1,0,-1769,-65463] 1
77376p (1 curve)	0	2+ 3- 13+ 31+	2+ 3- -4  1  0 13+  5 -2
Curve Equation t 77376p1 [0,1,0,-190945,32207999] 1
77376q (1 curve)	1	2+ 3- 13+ 31-	2+ 3-  1 -5  4 13+ -4  5
Curve Equation t Generators 77376q1 [0,1,0,1895,131567] 1 [626:15717:1]
77376r (1 curve)	1	2+ 3- 13+ 31-	2+ 3-  3 -1  4 13+ -2  1
Curve Equation t Generators 77376r1 [0,1,0,-209,1143] 1 [-14:39:1]
77376s (1 curve)	1	2+ 3- 13+ 31-	2+ 3- -4  3  4 13+ -3 -6
Curve Equation t Generators 77376s1 [0,1,0,-705,7839] 1 [27:96:1]
77376t (1 curve)	1	2+ 3- 13- 31+	2+ 3-  0  2 -1 13-  4 -4
Curve Equation t Generators 77376t1 [0,1,0,17147,796835] 1 [182:3159:1]
77376u (2 curves)	1	2+ 3- 13- 31+	2+ 3-  0 -4  2 13- -2 -4
Curve Equation t Generators 77376u1 [0,1,0,-2815053,-1818872109] 2 [2499:82212:1] 77376u2 [0,1,0,-2814513,-1819604241] 2 [16965:2198508:1]
77376v (4 curves)	1	2+ 3- 13- 31+	2+ 3- -2  0  0 13-  2  4
Curve Equation t Generators 77376v1 [0,1,0,-564,-5310] 2 [330:1665:8] 77376v2 [0,1,0,-969,2871] 4 [-21:120:1] 77376v3 [0,1,0,3711,26271] 2 [18:315:1] 77376v4 [0,1,0,-12129,509535] 4 [165:1740:1]
77376w (1 curve)	1	2+ 3- 13- 31+	2+ 3- -2 -2 -5 13-  0 -6
Curve Equation t Generators 77376w1 [0,1,0,91,195] 1 [-2:3:1]
77376x (2 curves)	1	2+ 3- 13- 31+	2+ 3- -2 -4  4 13-  4 -4
Curve Equation t Generators 77376x1 [0,1,0,-4069,-391573] 2 [143:1404:1] 77376x2 [0,1,0,-108849,-13824369] 2 [-195:156:1]
77376y (1 curve)	0	2- 3+ 13+ 31+	2- 3+  1  5 -4 13+ -4 -5
Curve Equation t 77376y1 [0,-1,0,1895,-131567] 1
77376z (1 curve)	0	2- 3+ 13+ 31+	2- 3+  3  1 -4 13+ -2 -1
Curve Equation t 77376z1 [0,-1,0,-209,-1143] 1
77376ba (1 curve)	0	2- 3+ 13+ 31+	2- 3+ -4 -3 -4 13+ -3  6
Curve Equation t 77376ba1 [0,-1,0,-705,-7839] 1
77376bb (1 curve)	1	2- 3+ 13+ 31-	2- 3+ -2 -2  1 13+  8  6
Curve Equation t Generators 77376bb1 [0,-1,0,-1769,65463] 1 [386:7533:1]
77376bc (2 curves)	1	2- 3+ 13+ 31-	2- 3+  4  0  2 13+  0  4
Curve Equation t Generators 77376bc1 [0,-1,0,-536,-4602] 2 [6546068790:-39055774933:132651000] 77376bc2 [0,-1,0,-521,-4887] 2 [628665:8488916:3375]
77376bd (1 curve)	1	2- 3+ 13+ 31-	2- 3+ -4 -1  0 13+  5  2
Curve Equation t Generators 77376bd1 [0,-1,0,-190945,-32207999] 1 [509:1488:1]
77376be (1 curve)	0	2- 3+ 13- 31-	2- 3+  0 -2  1 13-  4  4
Curve Equation t 77376be1 [0,-1,0,17147,-796835] 1
77376bf (2 curves)	0	2- 3+ 13- 31-	2- 3+  0  4 -2 13- -2  4
Curve Equation t 77376bf1 [0,-1,0,-2815053,1818872109] 2 77376bf2 [0,-1,0,-2814513,1819604241] 2
77376bg (1 curve)	0	2- 3+ 13- 31-	2- 3+ -2  2  5 13-  0  6
Curve Equation t 77376bg1 [0,-1,0,91,-195] 1
77376bh (2 curves)	0	2- 3+ 13- 31-	2- 3+ -2  4 -4 13-  4  4
Curve Equation t 77376bh1 [0,-1,0,-4069,391573] 2 77376bh2 [0,-1,0,-108849,13824369] 2
77376bi (3 curves)	1	2- 3- 13+ 31+	2- 3-  0  1  0 13+  3  2
Curve Equation t Generators 77376bi1 [0,1,0,-392993,-94957473] 1 [871:14976:1] 77376bi2 [0,1,0,-194273,-190393185] 1 [4118471:75558912:4913] 77376bi3 [0,1,0,1740127,5003780319] 1 [-3419497514217556155:-323664444325674090496:5367004242296787]
77376bj (1 curve)	1	2- 3- 13+ 31+	2- 3-  0 -2 -5 13+  4 -8
Curve Equation t Generators 77376bj1 [0,1,0,19627,-146061] 1 [190:3237:1]
77376bk (1 curve)	1	2- 3- 13+ 31+	2- 3-  2  2  3 13+  0 -2
Curve Equation t Generators 77376bk1 [0,1,0,-757,9107] 1 [134:1527:1]
77376bl (2 curves)	1	2- 3- 13+ 31+	2- 3-  4  0 -2 13+  0 -4
Curve Equation t Generators 77376bl1 [0,1,0,-536,4602] 2 [-6539:172710:2197] 77376bl2 [0,1,0,-521,4887] 2 [246:845:27]
77376bm (1 curve)	0	2- 3- 13+ 31-	2- 3-  0  2  1 13+ -4  0
Curve Equation t 77376bm1 [0,1,0,-53,-183] 1
77376bn (4 curves)	0	2- 3- 13- 31+	2- 3-  2  0 -4 13- -2 -8
Curve Equation t 77376bn1 [0,1,0,-1617,24495] 2 77376bn2 [0,1,0,-1697,21855] 4 77376bn3 [0,1,0,3263,129983] 4 77376bn4 [0,1,0,-7937,-253953] 2
77376bo (1 curve)	0	2- 3- 13- 31+	2- 3-  3 -3  0 13-  2  3
Curve Equation t 77376bo1 [0,1,0,-7649,-880617] 1
77376bp (2 curves)	1	2- 3- 13- 31-	2- 3-  0  0  2 13-  0 -4
Curve Equation t Generators 77376bp1 [0,1,0,-213,9675] 2 [6:93:1] 77376bp2 [0,1,0,-8273,285327] 2 [-59:756:1]
77376bq (1 curve)	1	2- 3- 13- 31-	2- 3-  0  3 -4 13-  3  2
Curve Equation t Generators 77376bq1 [0,1,0,-33,38751] 1 [2973:31744:27]
77376br (2 curves)	1	2- 3- 13- 31-	2- 3-  0 -4 -6 13-  6 -4
Curve Equation t Generators 77376br1 [0,1,0,-16333,852131] 2 [-25:1116:1] 77376br2 [0,1,0,-266193,52773039] 2 [285:372:1]
77376bs (1 curve)	1	2- 3- 13- 31-	2- 3- -1  3  0 13- -2  1
Curve Equation t Generators 77376bs1 [0,1,0,279,2511] 1 [18:117:1]
77376bt (1 curve)	1	2- 3- 13- 31-	2- 3- -3 -1  0 13-  0  5
Curve Equation t Generators 77376bt1 [0,1,0,14703,-257049] 1 [338:6591:1]

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