Cremona's table of elliptic curves

43344 = 2⁴ · 3² · 7 · 43

Class	r	Atkin-Lehner	Eigenvalues
43344a (1 curve)	1	2+ 3+ 7+ 43+	2+ 3+  3 7+ -2  3  1 -7
Curve Equation t Generators 43344a1 [0,0,0,-171,-838] 1 [-7:4:1]
43344b (1 curve)	1	2+ 3+ 7+ 43+	2+ 3+ -3 7+  2  3 -1 -7
Curve Equation t Generators 43344b1 [0,0,0,-1539,22626] 1 [15:54:1]
43344c (2 curves)	1	2+ 3+ 7- 43-	2+ 3+  2 7-  2  2  0  0
Curve Equation t Generators 43344c1 [0,0,0,-18954,-1005993] 2 [4771275:72752526:15625] 43344c2 [0,0,0,-303399,-64323450] 2 [115472504950:-1282595556277:166375000]
43344d (2 curves)	1	2+ 3+ 7- 43-	2+ 3+ -2 7- -2  2  0  0
Curve Equation t Generators 43344d1 [0,0,0,-2106,37259] 2 [31:42:1] 43344d2 [0,0,0,-33711,2382350] 2 [94:210:1]
43344e (1 curve)	0	2+ 3- 7+ 43+	2+ 3-  0 7+  1  3  7  2
Curve Equation t 43344e1 [0,0,0,60,-6676] 1
43344f (2 curves)	1	2+ 3- 7+ 43-	2+ 3-  0 7+  0  6  2  8
Curve Equation t Generators 43344f1 [0,0,0,1185,14366] 2 [430:8946:1] 43344f2 [0,0,0,-6555,133562] 2 [19:126:1]
43344g (2 curves)	1	2+ 3- 7+ 43-	2+ 3- -2 7+  0 -6  0  4
Curve Equation t Generators 43344g1 [0,0,0,-44166,-3572525] 2 [5048463:107342558:9261] 43344g2 [0,0,0,-42951,-3778346] 2 [56955:2602684:27]
43344h (4 curves)	1	2+ 3- 7+ 43-	2+ 3- -2 7+ -4 -2 -2 -4
Curve Equation t Generators 43344h1 [0,0,0,-1146,-13025] 2 [39:40:1] 43344h2 [0,0,0,-4791,114550] 4 [2:324:1] 43344h3 [0,0,0,6549,574954] 2 [-15:688:1] 43344h4 [0,0,0,-74451,7818946] 2 [11:2646:1]
43344i (1 curve)	1	2+ 3- 7- 43+	2+ 3- -1 7- -4 -1 -3 -1
Curve Equation t Generators 43344i1 [0,0,0,-2523,48746] 1 [25:-36:1]
43344j (4 curves)	1	2+ 3- 7- 43+	2+ 3-  2 7-  4  2 -2  0
Curve Equation t Generators 43344j1 [0,0,0,-21159,1382022] 2 [54:630:1] 43344j2 [0,0,0,-353979,81059130] 4 [195:4410:1] 43344j3 [0,0,0,-369459,73582290] 2 [535:5390:1] 43344j4 [0,0,0,-5663619,5187870882] 2 [1399:1610:1]
43344k (2 curves)	1	2+ 3- 7- 43+	2+ 3-  2 7- -4  2  0 -4
Curve Equation t Generators 43344k1 [0,0,0,-174,-24397] 2 [14884:226395:64] 43344k2 [0,0,0,-13719,-612250] 2 [-151814:167220:2197]
43344l (2 curves)	1	2+ 3- 7- 43+	2+ 3- -4 7- -4 -2 -6  0
Curve Equation t Generators 43344l1 [0,0,0,-327,-7450] 2 [34:144:1] 43344l2 [0,0,0,-8067,-278350] 2 [-53:18:1]
43344m (2 curves)	0	2+ 3- 7- 43-	2+ 3-  2 7-  0  2  8  4
Curve Equation t 43344m1 [0,0,0,-894,-10285] 2 43344m2 [0,0,0,-759,-13498] 2
43344n (2 curves)	0	2+ 3- 7- 43-	2+ 3- -2 7-  4 -4  6 -6
Curve Equation t 43344n1 [0,0,0,-1011,-13246] 2 43344n2 [0,0,0,-16491,-815110] 2
43344o (1 curve)	2	2+ 3- 7- 43-	2+ 3- -3 7- -6 -5  3 -3
Curve Equation t Generators 43344o1 [0,0,0,-8139,-111526] 1 [-79:196:1]&[-65:378:1]
43344p (1 curve)	0	2+ 3- 7- 43-	2+ 3-  4 7- -5 -7  3  6
Curve Equation t 43344p1 [0,0,0,-2028,43580] 1
43344q (2 curves)	0	2- 3+ 7+ 43+	2- 3+  3 7+ -6 -1 -3  1
Curve Equation t 43344q1 [0,0,0,-28971,-220582] 1 43344q2 [0,0,0,-1510731,714701178] 1
43344r (2 curves)	0	2- 3+ 7+ 43+	2- 3+ -3 7+  6 -1  3  1
Curve Equation t 43344r1 [0,0,0,-167859,-26470414] 1 43344r2 [0,0,0,-260739,5955714] 1
43344s (1 curve)	1	2- 3+ 7- 43+	2- 3+  1 7-  6  5 -3 -7
Curve Equation t Generators 43344s1 [0,0,0,-1707,-10278] 1 [-9:66:1]
43344t (1 curve)	1	2- 3+ 7- 43+	2- 3+ -1 7- -6  5  3 -7
Curve Equation t Generators 43344t1 [0,0,0,-15363,277506] 1 [1:512:1]
43344u (2 curves)	1	2- 3+ 7- 43+	2- 3+  2 7- -2  2  0  0
Curve Equation t Generators 43344u1 [0,0,0,-16659,764370] 2 [30:540:1] 43344u2 [0,0,0,17901,3522258] 2 [-71:1376:1]
43344v (2 curves)	1	2- 3+ 7- 43+	2- 3+ -2 7-  2  2  0  0
Curve Equation t Generators 43344v1 [0,0,0,-1851,-28310] 2 [-22:42:1] 43344v2 [0,0,0,1989,-130454] 2 [45:224:1]
43344w (2 curves)	1	2- 3- 7+ 43+	2- 3-  0 7+  2 -6  4 -4
Curve Equation t Generators 43344w1 [0,0,0,-38100,3048383] 2 [73:810:1] 43344w2 [0,0,0,-620535,188146226] 2 [154:9810:1]
43344x (3 curves)	1	2- 3- 7+ 43+	2- 3-  0 7+ -3  5  3 -2
Curve Equation t Generators 43344x1 [0,0,0,-6240,-75115024] 1 [41636302:67847913:97336] 43344x2 [0,0,0,-13653120,-19418832592] 1 [2265058582853547322737142:-27960226544442062357386389:522492242339301492952] 43344x3 [0,0,0,-1105921920,-14155812864016] 1 [17504230979800140704426603173272401345169472523478474059210983948366702:-1923533725437094020204827324223865323100507900476587844533782210056724761:395349900798372155746010545083557451707782555899656423480949097144]
43344y (1 curve)	1	2- 3- 7+ 43+	2- 3- -1 7+  0 -1  3  5
Curve Equation t Generators 43344y1 [0,0,0,-5403,-116534] 1 [-25:54:1]
43344z (1 curve)	1	2- 3- 7+ 43+	2- 3-  3 7+ -4 -3  7 -1
Curve Equation t Generators 43344z1 [0,0,0,-3709011,556753682] 1 [-248395:1119744:125]
43344ba (3 curves)	1	2- 3- 7+ 43+	2- 3- -3 7+  0  5 -3  7
Curve Equation t Generators 43344ba1 [0,0,0,-22539,1270586] 1 [-41:1458:1] 43344ba2 [0,0,0,-236379,-43771894] 1 [-257:54:1] 43344ba3 [0,0,0,-19091019,-32106412294] 1 [-572589005:12294:226981]
43344bb (1 curve)	2	2- 3- 7+ 43-	2- 3-  0 7+ -1 -3 -5 -6
Curve Equation t Generators 43344bb1 [0,0,0,-46560,6554396] 1 [-86:3150:1]&[890:-25886:1]
43344bc (2 curves)	0	2- 3- 7+ 43-	2- 3-  0 7+ -4 -2  2  8
Curve Equation t 43344bc1 [0,0,0,1005,-794414] 2 43344bc2 [0,0,0,-122835,-16224878] 2
43344bd (1 curve)	0	2- 3- 7+ 43-	2- 3- -1 7+ -6  1  7  1
Curve Equation t 43344bd1 [0,0,0,-924843,-199533094] 1
43344be (4 curves)	0	2- 3- 7+ 43-	2- 3-  2 7+  0 -2 -2  4
Curve Equation t 43344be1 [0,0,0,1941,22682] 2 43344be2 [0,0,0,-9579,200090] 4 43344be3 [0,0,0,-70059,-6997030] 2 43344be4 [0,0,0,-133419,18751322] 2
43344bf (1 curve)	0	2- 3- 7+ 43-	2- 3-  3 7+  2 -5 -1 -1
Curve Equation t 43344bf1 [0,0,0,-847731,300357682] 1
43344bg (1 curve)	2	2- 3- 7+ 43-	2- 3- -3 7+  2 -3  1 -3
Curve Equation t Generators 43344bg1 [0,0,0,-579,4034] 1 [25:72:1]&[-7:88:1]
43344bh (2 curves)	0	2- 3- 7+ 43-	2- 3-  4 7+ -6 -2 -6 -4
Curve Equation t 43344bh1 [0,0,0,312,-1685] 2 43344bh2 [0,0,0,-1623,-15230] 2
43344bi (2 curves)	0	2- 3- 7- 43+	2- 3-  0 7-  0 -2  2  0
Curve Equation t 43344bi1 [0,0,0,-130395,18924554] 2 43344bi2 [0,0,0,-2111835,1181237258] 2
43344bj (1 curve)	0	2- 3- 7- 43+	2- 3-  0 7- -3  1 -1  6
Curve Equation t 43344bj1 [0,0,0,960,-16] 1
43344bk (1 curve)	0	2- 3- 7- 43+	2- 3- -1 7- -4 -3  1  1
Curve Equation t 43344bk1 [0,0,0,-1582563,-681664286] 1
43344bl (2 curves)	0	2- 3- 7- 43+	2- 3-  2 7-  2 -6 -2 -8
Curve Equation t 43344bl1 [0,0,0,-389784,-12950345] 2 43344bl2 [0,0,0,-3967599,3027476842] 2
43344bm (2 curves)	0	2- 3- 7- 43+	2- 3- -2 7-  2  2  2 -8
Curve Equation t 43344bm1 [0,0,0,-250176,48163295] 2 43344bm2 [0,0,0,-252111,47380394] 2
43344bn (2 curves)	0	2- 3- 7- 43+	2- 3- -2 7-  2  2  6  0
Curve Equation t 43344bn1 [0,0,0,-696,-6365] 2 43344bn2 [0,0,0,-2631,45106] 2
43344bo (1 curve)	0	2- 3- 7- 43+	2- 3- -2 7- -3  2  0 -1
Curve Equation t 43344bo1 [0,0,0,-171,-2214] 1
43344bp (1 curve)	0	2- 3- 7- 43+	2- 3- -2 7-  5  2  0  3
Curve Equation t 43344bp1 [0,0,0,-3249291,2254545466] 1
43344bq (1 curve)	0	2- 3- 7- 43+	2- 3-  3 7-  0  7  5  3
Curve Equation t 43344bq1 [0,0,0,-2110251,-1179906982] 1
43344br (2 curves)	0	2- 3- 7- 43+	2- 3-  4 7-  0  2 -6 -4
Curve Equation t 43344br1 [0,0,0,17397,-7362630] 2 43344br2 [0,0,0,-477963,-121790790] 2
43344bs (1 curve)	0	2- 3- 7- 43+	2- 3-  4 7-  5 -1  3  6
Curve Equation t 43344bs1 [0,0,0,-40008,-3097460] 1
43344bt (1 curve)	1	2- 3- 7- 43-	2- 3-  0 7-  3  1  3  2
Curve Equation t Generators 43344bt1 [0,0,0,-19200,-1024004] 1 [362:6282:1]
43344bu (2 curves)	1	2- 3- 7- 43-	2- 3-  0 7- -6 -2  6 -4
Curve Equation t Generators 43344bu1 [0,0,0,240,511999] 2 [173:2394:1] 43344bu2 [0,0,0,-94575,10998538] 2 [1986:13433:8]
43344bv (1 curve)	1	2- 3- 7- 43-	2- 3- -1 7- -2 -3 -3 -5
Curve Equation t Generators 43344bv1 [0,0,0,-121323,-16210406] 1 [-193:126:1]
43344bw (1 curve)	1	2- 3- 7- 43-	2- 3-  3 7- -2 -1 -3  5
Curve Equation t Generators 43344bw1 [0,0,0,-13971,582482] 1 [313:5184:1]
43344bx (1 curve)	1	2- 3- 7- 43-	2- 3- -3 7-  6  1  3 -1
Curve Equation t Generators 43344bx1 [0,0,0,-239666979,850459709986] 1 [-2895:1232896:1]

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