Cremona's table of elliptic curves

77805 = 3² · 5 · 7 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
77805a (2 curves)	1	3+ 5+ 7+ 13+ 19+	1 3+ 5+ 7+ -6 13+ -6 19+
Curve Equation t Generators 77805a1 [1,-1,0,-2850,64511] 2 [206:599:8] 77805a2 [1,-1,0,-46725,3899186] 2 [118:76:1]
77805b (1 curve)	0	3+ 5+ 7+ 13+ 19-	-2 3+ 5+ 7+  6 13+ -8 19-
Curve Equation t 77805b1 [0,0,1,40797,-958554142] 1
77805c (1 curve)	1	3+ 5+ 7+ 13- 19-	0 3+ 5+ 7+ -5 13-  2 19-
Curve Equation t Generators 77805c1 [0,0,1,11502,79184] 1 [24:607:1]
77805d (2 curves)	1	3+ 5+ 7- 13+ 19-	-1 3+ 5+ 7- -6 13+  0 19-
Curve Equation t Generators 77805d1 [1,-1,1,-803,8946] 2 [18:0:1] 77805d2 [1,-1,1,-998,4422] 2 [38:123:1]
77805e (2 curves)	1	3+ 5+ 7- 13- 19+	-1 3+ 5+ 7- -2 13- -6 19+
Curve Equation t Generators 77805e1 [1,-1,1,82,6532] 2 [8:-92:1] 77805e2 [1,-1,1,-4793,125482] 2 [68:-367:1]
77805f (2 curves)	0	3+ 5- 7+ 13+ 19+	-1 3+ 5- 7+  6 13+  6 19+
Curve Equation t 77805f1 [1,-1,1,-317,-2284] 2 77805f2 [1,-1,1,-5192,-142684] 2
77805g (1 curve)	1	3+ 5- 7+ 13+ 19-	2 3+ 5- 7+ -6 13+  8 19-
Curve Equation t Generators 77805g1 [0,0,1,4533,35502005] 1 [594:48161:8]
77805h (1 curve)	0	3+ 5- 7+ 13- 19-	0 3+ 5- 7+  5 13- -2 19-
Curve Equation t 77805h1 [0,0,1,1278,-2933] 1
77805i (2 curves)	0	3+ 5- 7- 13+ 19-	1 3+ 5- 7-  6 13+  0 19-
Curve Equation t 77805i1 [1,-1,0,-7224,-234325] 2 77805i2 [1,-1,0,-8979,-110422] 2
77805j (2 curves)	0	3+ 5- 7- 13- 19+	1 3+ 5- 7-  2 13-  6 19+
Curve Equation t 77805j1 [1,-1,0,741,-177112] 2 77805j2 [1,-1,0,-43134,-3344887] 2
77805k (4 curves)	2	3- 5+ 7+ 13+ 19+	-1 3- 5+ 7+  0 13+ -6 19+
Curve Equation t Generators 77805k1 [1,-1,1,-2993,63632] 2 [-42:358:1]&[-15:331:1] 77805k2 [1,-1,1,-4118,12332] 4 [-62:193:1]&[-45:346:1] 77805k3 [1,-1,1,16357,86042] 2 [1:319:1]&[85:1401:1] 77805k4 [1,-1,1,-42593,-3358078] 2 [-930:1343:8]&[-113:105:1]
77805l (2 curves)	1	3- 5+ 7+ 13- 19+	-1 3- 5+ 7+ -4 13- -4 19+
Curve Equation t Generators 77805l1 [1,-1,1,229792,22181546] 2 [-54:3127:1] 77805l2 [1,-1,1,-1049603,189526412] 2 [150:5878:1]
77805m (4 curves)	0	3- 5+ 7+ 13- 19-	1 3- 5+ 7+ -4 13-  2 19-
Curve Equation t 77805m1 [1,-1,0,-1413945,647435200] 2 77805m2 [1,-1,0,-1521990,542826031] 4 77805m3 [1,-1,0,3714885,3457670656] 2 77805m4 [1,-1,0,-8487585,-9068301950] 2
77805n (4 curves)	1	3- 5+ 7- 13+ 19+	-1 3- 5+ 7-  4 13+ -2 19+
Curve Equation t Generators 77805n1 [1,-1,1,-2363,-20694] 2 [-34:156:1] 77805n2 [1,-1,1,-18608,967002] 4 [-118:1287:1] 77805n3 [1,-1,1,-653,2740956] 2 [-99:1401:1] 77805n4 [1,-1,1,-296483,62210652] 2 [278:963:1]
77805o (1 curve)	0	3- 5+ 7- 13+ 19-	1 3- 5+ 7-  6 13+  7 19-
Curve Equation t 77805o1 [1,-1,0,-35280,-2570099] 1
77805p (4 curves)	0	3- 5+ 7- 13+ 19-	-1 3- 5+ 7-  0 13+ -6 19-
Curve Equation t 77805p1 [1,-1,1,-447528533,-7462272849348] 2 77805p2 [1,-1,1,-9080787578,-332839446344544] 4 77805p3 [1,-1,1,-11028584453,-179626523275794] 2 77805p4 [1,-1,1,-145265135423,-21310295072214378] 2
77805q (2 curves)	2	3- 5+ 7- 13- 19+	-1 3- 5+ 7- -6 13-  0 19+
Curve Equation t Generators 77805q1 [1,-1,1,-52763,4653906] 2 [-118:3096:1]&[-67:2841:1] 77805q2 [1,-1,1,-22388,9951306] 2 [-220:2157:1]&[638:15651:1]
77805r (1 curve)	1	3- 5+ 7- 13- 19-	1 3- 5+ 7-  2 13- -5 19-
Curve Equation t Generators 77805r1 [1,-1,0,765,-1670] 1 [18:124:1]
77805s (4 curves)	1	3- 5- 7+ 13+ 19+	1 3- 5- 7+  4 13+  6 19+
Curve Equation t Generators 77805s1 [1,-1,0,-6399,198288] 2 [220944:253281:4096] 77805s2 [1,-1,0,-8604,51435] 4 [1062:8361:8] 77805s3 [1,-1,0,33921,383130] 2 [222728:4939539:512] 77805s4 [1,-1,0,-86409,-9705312] 2 [3974:64833:8]
77805t (1 curve)	0	3- 5- 7+ 13+ 19-	2 3- 5- 7+  5 13+  6 19-
Curve Equation t 77805t1 [0,0,1,-12477,-669123] 1
77805u (4 curves)	2	3- 5- 7+ 13- 19+	-1 3- 5- 7+  0 13- -6 19+
Curve Equation t Generators 77805u1 [1,-1,1,1363,9924] 4 [2:111:1]&[57:491:1] 77805u2 [1,-1,1,-6242,89016] 4 [86:-471:1]&[-76:384:1] 77805u3 [1,-1,1,-50117,-4245834] 2 [-129:309:1]&[-121:249:1] 77805u4 [1,-1,1,-84047,9394494] 2 [-298:2961:1]&[2:3036:1]
77805v (2 curves)	1	3- 5- 7+ 13- 19-	1 3- 5- 7+  2 13- -4 19-
Curve Equation t Generators 77805v1 [1,-1,0,-637749,-151614032] 2 [3332:184634:1] 77805v2 [1,-1,0,1471626,-944317157] 2 [722:21869:1]
77805w (4 curves)	1	3- 5- 7+ 13- 19-	-1 3- 5- 7+  0 13-  6 19-
Curve Equation t Generators 77805w1 [1,-1,1,-178187,28994586] 4 [246:-76:1] 77805w2 [1,-1,1,-185792,26390634] 4 [-418:5766:1] 77805w3 [1,-1,1,326083,145759884] 2 [-243:7341:1] 77805w4 [1,-1,1,-819347,-259722804] 2 [-589:4569:1]
77805x (2 curves)	1	3- 5- 7+ 13- 19-	-1 3- 5- 7+  6 13-  4 19-
Curve Equation t Generators 77805x1 [1,-1,1,-116807,15394614] 2 [194:-12:1] 77805x2 [1,-1,1,-113432,16323414] 2 [-208:5661:1]
77805y (1 curve)	1	3- 5- 7+ 13- 19-	2 3- 5- 7+ -3 13- -2 19-
Curve Equation t Generators 77805y1 [0,0,1,758187663,1285904379865] 1 [1171874:456459701:8]
77805z (4 curves)	1	3- 5- 7- 13+ 19-	1 3- 5- 7-  4 13+ -2 19-
Curve Equation t Generators 77805z1 [1,-1,0,-999,-32] 2 [-16:116:1] 77805z2 [1,-1,0,-11124,-447557] 4 [4982:349049:1] 77805z3 [1,-1,0,-6399,-834062] 2 [318836:22339979:64] 77805z4 [1,-1,0,-177849,-28824152] 2 [-463776244:232562015:1906624]
77805ba (1 curve)	1	3- 5- 7- 13+ 19-	2 3- 5- 7-  0 13+  2 19-
Curve Equation t Generators 77805ba1 [0,0,1,1023,9607] 1 [290:2453:8]
77805bb (2 curves)	1	3- 5- 7- 13- 19+	1 3- 5- 7-  0 13-  0 19+
Curve Equation t Generators 77805bb1 [1,-1,0,-135189,41511928] 2 [204:4630:1] 77805bb2 [1,-1,0,-2804544,1807023325] 2 [516:22037:1]

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

Part of Computational Number Theory
Back to Tables and computations