Cremona's table of elliptic curves

40755 = 3 · 5 · 11 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
40755a (2 curves)	1	3+ 5+ 11+ 13- 19-	-1 3+ 5+  2 11+ 13- -6 19-
Curve Equation t Generators 40755a1 [1,1,1,684554,145665554] 2 [88:14329:1] 40755a2 [1,1,1,-3341721,1274633064] 2 [-1314:58958:1]
40755b (1 curve)	2	3+ 5+ 11- 13+ 19+	0 3+ 5+ -3 11- 13+ -6 19+
Curve Equation t Generators 40755b1 [0,-1,1,-21,2] 1 [6:7:1]&[-22:41:8]
40755c (2 curves)	1	3+ 5+ 11- 13+ 19-	1 3+ 5+  2 11- 13+ -2 19-
Curve Equation t Generators 40755c1 [1,1,0,422,114103] 2 [-258:2219:8] 40755c2 [1,1,0,-32853,2223738] 2 [86:166:1]
40755d (1 curve)	1	3+ 5+ 11- 13+ 19-	2 3+ 5+  5 11- 13+ -4 19-
Curve Equation t Generators 40755d1 [0,-1,1,-19904446,33640176027] 1 [9098:893471:8]
40755e (2 curves)	1	3+ 5+ 11- 13- 19+	-1 3+ 5+  0 11- 13-  2 19+
Curve Equation t Generators 40755e1 [1,1,1,6279,-1533546] 2 [636:15813:1] 40755e2 [1,1,1,-167466,-25301862] 2 [240261:4750992:343]
40755f (2 curves)	1	3+ 5+ 11- 13- 19+	-1 3+ 5+ -2 11- 13-  0 19+
Curve Equation t Generators 40755f1 [1,1,1,-331,2144] 2 [14:-30:1] 40755f2 [1,1,1,-6,6564] 2 [1:-82:1]
40755g (4 curves)	0	3+ 5- 11+ 13+ 19+	1 3+ 5- -4 11+ 13+  6 19+
Curve Equation t 40755g1 [1,1,0,-267,-8136] 2 40755g2 [1,1,0,-7872,-271269] 4 40755g3 [1,1,0,-11577,5124] 2 40755g4 [1,1,0,-125847,-17236074] 2
40755h (2 curves)	1	3+ 5- 11+ 13- 19+	-1 3+ 5-  0 11+ 13- -2 19+
Curve Equation t Generators 40755h1 [1,1,1,-1285,-18358] 2 [85:661:1] 40755h2 [1,1,1,-20590,-1145770] 2 [1382:4905:8]
40755i (4 curves)	1	3+ 5- 11- 13+ 19+	1 3+ 5- -4 11- 13+ -6 19+
Curve Equation t Generators 40755i1 [1,1,0,-60632,5950659] 2 [110:737:1] 40755i2 [1,1,0,-980837,373480536] 4 [4598:-1199:8] 40755i3 [1,1,0,-991562,364881231] 2 [10838:305481:8] 40755i4 [1,1,0,-15693392,23922396069] 2 [285844550:-142854839:125000]
40755j (4 curves)	1	3+ 5- 11- 13- 19-	-1 3+ 5-  4 11- 13- -2 19-
Curve Equation t Generators 40755j1 [1,1,1,-310,1922] 2 [60:421:1] 40755j2 [1,1,1,-715,-4720] 4 [-20:55:1] 40755j3 [1,1,1,2210,-30460] 4 [25:190:1] 40755j4 [1,1,1,-10120,-395968] 2 [-58:36:1]
40755k (1 curve)	1	3+ 5- 11- 13- 19-	-2 3+ 5-  1 11- 13- -4 19-
Curve Equation t Generators 40755k1 [0,-1,1,-2410,45756] 1 [-20:292:1]
40755l (1 curve)	0	3- 5+ 11+ 13+ 19+	0 3- 5+  2 11+ 13+ -8 19+
Curve Equation t 40755l1 [0,1,1,-346731,-78770500] 1
40755m (2 curves)	0	3- 5+ 11+ 13+ 19+	1 3- 5+  2 11+ 13+  0 19+
Curve Equation t 40755m1 [1,0,1,-3456149,2472783491] 2 40755m2 [1,0,1,-3448024,2484990491] 2
40755n (2 curves)	0	3- 5+ 11+ 13+ 19+	1 3- 5+  2 11+ 13+  6 19+
Curve Equation t 40755n1 [1,0,1,549226956,-32226213134099] 2 40755n2 [1,0,1,-12448819919,-507959927977849] 2
40755o (4 curves)	1	3- 5+ 11+ 13- 19+	-1 3- 5+  0 11+ 13- -2 19+
Curve Equation t Generators 40755o1 [1,0,0,-286,-1885] 2 [71:545:1] 40755o2 [1,0,0,-331,-1264] 4 [-5:19:1] 40755o3 [1,0,0,1094,-8959] 2 [280:4579:1] 40755o4 [1,0,0,-2476,46355] 2 [34:25:1]
40755p (1 curve)	1	3- 5+ 11+ 13- 19+	2 3- 5+  3 11+ 13-  4 19+
Curve Equation t Generators 40755p1 [0,1,1,-1905716,-162117799] 1 [-117050236:7001550209:314432]
40755q (2 curves)	0	3- 5+ 11+ 13- 19-	0 3- 5+  2 11+ 13-  0 19-
Curve Equation t 40755q1 [0,1,1,39,380] 3 40755q2 [0,1,1,-351,-10579] 1
40755r (4 curves)	0	3- 5+ 11+ 13- 19-	-1 3- 5+  0 11+ 13- -2 19-
Curve Equation t 40755r1 [1,0,0,-381951,98113680] 4 40755r2 [1,0,0,-6246396,6008301351] 4 40755r3 [1,0,0,-6381771,5734221126] 2 40755r4 [1,0,0,-99942141,384557850300] 2
40755s (4 curves)	1	3- 5- 11+ 13+ 19+	1 3- 5- -4 11+ 13+  2 19+
Curve Equation t Generators 40755s1 [1,0,1,9877,1271801] 2 [177:2839:1] 40755s2 [1,0,1,-132928,17037473] 4 [67:2870:1] 40755s3 [1,0,1,-475153,-107121757] 2 [7406:121921:8] 40755s4 [1,0,1,-2075583,1150770931] 4 [-3050:349011:8]
40755t (4 curves)	0	3- 5- 11+ 13+ 19-	1 3- 5-  4 11+ 13+ -6 19-
Curve Equation t 40755t1 [1,0,1,-1238,16163] 2 40755t2 [1,0,1,-3043,-42319] 4 40755t3 [1,0,1,8832,-289319] 2 40755t4 [1,0,1,-43798,-3530947] 2
40755u (6 curves)	0	3- 5- 11+ 13- 19+	-1 3- 5-  0 11+ 13- -6 19+
Curve Equation t 40755u1 [1,0,0,-136675,40587752] 4 40755u2 [1,0,0,-2793880,1795937375] 8 40755u3 [1,0,0,-3409885,945480872] 4 40755u4 [1,0,0,-44693155,114999398570] 4 40755u5 [1,0,0,12428990,7246185347] 2 40755u6 [1,0,0,-29104840,-59781975775] 2
40755v (1 curve)	0	3- 5- 11- 13+ 19+	0 3- 5-  5 11- 13+  2 19+
Curve Equation t 40755v1 [0,1,1,-45495,-3749794] 1
40755w (4 curves)	0	3- 5- 11- 13+ 19+	1 3- 5- -4 11- 13+  6 19+
Curve Equation t 40755w1 [1,0,1,-515263,-215704987] 2 40755w2 [1,0,1,-9373068,-11043485819] 4 40755w3 [1,0,1,-10511073,-8193466097] 2 40755w4 [1,0,1,-149959943,-706836047569] 2
40755x (4 curves)	1	3- 5- 11- 13+ 19-	1 3- 5-  0 11- 13+  2 19-
Curve Equation t Generators 40755x1 [1,0,1,-118,-349] 2 [1755:2636:125] 40755x2 [1,0,1,-723,7153] 4 [49:275:1] 40755x3 [1,0,1,322,26381] 2 [-15:142:1] 40755x4 [1,0,1,-11448,470473] 2 [4852:10307:64]
40755y (1 curve)	1	3- 5- 11- 13- 19+	0 3- 5- -3 11- 13-  2 19+
Curve Equation t Generators 40755y1 [0,1,1,-497315,-123859681] 1 [-329:2062:1]

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

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