Cremona's table of elliptic curves

43758 = 2 · 3² · 11 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
43758a (2 curves)	1	2+ 3+ 11+ 13+ 17+	2+ 3+ -2  2 11+ 13+ 17+ -4
Curve Equation t Generators 43758a1 [1,-1,0,147,1125] 2 [-3:27:1] 43758a2 [1,-1,0,-1173,13005] 2 [3:96:1]
43758b (2 curves)	0	2+ 3+ 11+ 13- 17+	2+ 3+  0 -1 11+ 13- 17+ -4
Curve Equation t 43758b1 [1,-1,0,11367543,30665783709] 3 43758b2 [1,-1,0,-105589752,-988471495360] 1
43758c (2 curves)	2	2+ 3+ 11+ 13- 17+	2+ 3+ -2 -2 11+ 13- 17+ -4
Curve Equation t Generators 43758c1 [1,-1,0,-137553,10733021] 2 [-377:3172:1]&[65:1404:1] 43758c2 [1,-1,0,449967,77827805] 2 [386:-17769:1]&[-89:6133:1]
43758d (1 curve)	1	2+ 3+ 11+ 13- 17-	2+ 3+ -4 -3 11+ 13- 17-  0
Curve Equation t Generators 43758d1 [1,-1,0,156,-416] 1 [20:92:1]
43758e (2 curves)	1	2+ 3+ 11- 13+ 17-	2+ 3+  0  2 11- 13+ 17-  6
Curve Equation t Generators 43758e1 [1,-1,0,-1272,-11920] 2 [-28:48:1] 43758e2 [1,-1,0,-18612,-972556] 2 [-79:48:1]
43758f (2 curves)	1	2+ 3- 11+ 13+ 17-	2+ 3-  0 -4 11+ 13+ 17-  2
Curve Equation t Generators 43758f1 [1,-1,0,-759042,254708500] 2 [449:1841:1] 43758f2 [1,-1,0,-710082,288951124] 2 [395:-8563:1]
43758g (1 curve)	1	2+ 3- 11+ 13- 17+	2+ 3-  1  3 11+ 13- 17+  0
Curve Equation t Generators 43758g1 [1,-1,0,10296,286318912] 1 [75406:7284571:8]
43758h (4 curves)	0	2+ 3- 11+ 13- 17-	2+ 3-  2  0 11+ 13- 17-  8
Curve Equation t 43758h1 [1,-1,0,8058024,966722366272] 2 43758h2 [1,-1,0,-1419316056,20183459605312] 4 43758h3 [1,-1,0,-3089739096,-36353344521920] 2 43758h4 [1,-1,0,-22586878296,1306574318542144] 2
43758i (1 curve)	1	2+ 3- 11- 13+ 17+	2+ 3- -1  3 11- 13+ 17+ -4
Curve Equation t Generators 43758i1 [1,-1,0,2025,-26573] 1 [83:800:1]
43758j (1 curve)	0	2+ 3- 11- 13+ 17-	2+ 3-  3 -1 11- 13+ 17-  0
Curve Equation t 43758j1 [1,-1,0,-96578493,366223263173] 1
43758k (2 curves)	0	2- 3+ 11+ 13+ 17+	2- 3+  0  2 11+ 13+ 17+  6
Curve Equation t 43758k1 [1,-1,1,-11450,333289] 2 43758k2 [1,-1,1,-167510,26426521] 2
43758l (2 curves)	0	2- 3+ 11- 13+ 17-	2- 3+  2  2 11- 13+ 17- -4
Curve Equation t 43758l1 [1,-1,1,1321,-31697] 2 43758l2 [1,-1,1,-10559,-340577] 2
43758m (1 curve)	0	2- 3+ 11- 13- 17+	2- 3+  4 -3 11- 13- 17+  0
Curve Equation t 43758m1 [1,-1,1,1402,9829] 1
43758n (2 curves)	1	2- 3+ 11- 13- 17-	2- 3+  0 -1 11- 13- 17- -4
Curve Equation t Generators 43758n1 [1,-1,1,-11732195,36613966115] 3 [-1605:227314:1] 43758n2 [1,-1,1,102307885,-828078468029] 1 [45145:9765062:1]
43758o (2 curves)	1	2- 3+ 11- 13- 17-	2- 3+  2 -2 11- 13- 17- -4
Curve Equation t Generators 43758o1 [1,-1,1,-15284,-392425] 2 [-95:489:1] 43758o2 [1,-1,1,49996,-2899177] 2 [97:1641:1]
43758p (1 curve)	1	2- 3- 11+ 13+ 17+	2- 3-  2 -1 11+ 13+ 17+  8
Curve Equation t Generators 43758p1 [1,-1,1,-3264134,-2387327979] 1 [6473:494427:1]
43758q (2 curves)	1	2- 3- 11+ 13+ 17+	2- 3- -4  0 11+ 13+ 17+  2
Curve Equation t Generators 43758q1 [1,-1,1,-842,6905] 2 [43:-243:1] 43758q2 [1,-1,1,2218,43625] 2 [25:-351:1]
43758r (1 curve)	0	2- 3- 11+ 13+ 17-	2- 3- -2  1 11+ 13+ 17- -4
Curve Equation t 43758r1 [1,-1,1,49,-2005] 1
43758s (2 curves)	0	2- 3- 11+ 13+ 17-	2- 3-  4 -2 11+ 13+ 17- -4
Curve Equation t 43758s1 [1,-1,1,-355118,-69665731] 2 43758s2 [1,-1,1,618322,-385060291] 2
43758t (4 curves)	0	2- 3- 11+ 13- 17+	2- 3-  0 -4 11+ 13- 17+  2
Curve Equation t 43758t1 [1,-1,1,-902930,-213616879] 2 43758t2 [1,-1,1,2634430,-1478576815] 2 43758t3 [1,-1,1,-29656985,62160880889] 6 43758t4 [1,-1,1,-26523545,75806385401] 6
43758u (2 curves)	1	2- 3- 11+ 13- 17-	2- 3-  0  2 11+ 13- 17-  4
Curve Equation t Generators 43758u1 [1,-1,1,-27185,1575969] 2 [-163:1368:1] 43758u2 [1,-1,1,33655,7586961] 2 [-111:1628:1]
43758v (1 curve)	1	2- 3- 11+ 13- 17-	2- 3-  2 -3 11+ 13- 17- -4
Curve Equation t Generators 43758v1 [1,-1,1,-464,-12045] 1 [35:99:1]
43758w (4 curves)	1	2- 3- 11- 13- 17+	2- 3-  0 -4 11- 13- 17+ -4
Curve Equation t Generators 43758w1 [1,-1,1,-85100,3739871] 2 [-293:2005:1] 43758w2 [1,-1,1,310360,28416575] 2 [-59:3175:1] 43758w3 [1,-1,1,-5644355,5162831939] 6 [-1517:101914:1] 43758w4 [1,-1,1,-5606915,5234671811] 6 [93783:-4537094:27]
43758x (1 curve)	1	2- 3- 11- 13- 17+	2- 3-  3 -3 11- 13- 17+  4
Curve Equation t Generators 43758x1 [1,-1,1,-236,1639] 1 [31:137:1]
43758y (1 curve)	0	2- 3- 11- 13- 17-	2- 3- -1  1 11- 13- 17-  8
Curve Equation t 43758y1 [1,-1,1,-21218,-2476447] 1
43758z (2 curves)	0	2- 3- 11- 13- 17-	2- 3-  2 -2 11- 13- 17- -4
Curve Equation t 43758z1 [1,-1,1,-464,-3409] 2 43758z2 [1,-1,1,-1634,21863] 2

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

Part of Computational Number Theory
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