Cremona's table of elliptic curves

83664 = 2⁴ · 3² · 7 · 83

Class	r	Atkin-Lehner	Eigenvalues
83664a (1 curve)	1	2+ 3+ 7+ 83+	2+ 3+ -1 7+ -3  4  3  2
Curve Equation t Generators 83664a1 [0,0,0,-243,7506] 1 [21:108:1]
83664b (1 curve)	1	2+ 3+ 7+ 83+	2+ 3+  2 7+  0  3  1 -4
Curve Equation t Generators 83664b1 [0,0,0,-37719,-2820123] 1 [11902709379188:173000206519091:34550415593]
83664c (2 curves)	1	2+ 3+ 7+ 83+	2+ 3+ -2 7+  0 -6 -4  2
Curve Equation t Generators 83664c1 [0,0,0,-581391,-170473490] 2 [-5371374:-4752314:12167] 83664c2 [0,0,0,-725451,-79514006] 2 [-685:9798:1]
83664d (1 curve)	1	2+ 3+ 7+ 83+	2+ 3+  4 7+ -6 -1  3 -4
Curve Equation t Generators 83664d1 [0,0,0,-783,9585] 1 [210:675:8]
83664e (1 curve)	0	2+ 3+ 7+ 83-	2+ 3+  1 7+  3  4 -3  2
Curve Equation t 83664e1 [0,0,0,-27,-278] 1
83664f (2 curves)	0	2+ 3+ 7+ 83-	2+ 3+  2 7+  0 -6  4  2
Curve Equation t 83664f1 [0,0,0,-5232519,4602784230] 2 83664f2 [0,0,0,-6529059,2146878162] 2
83664g (1 curve)	2	2+ 3+ 7+ 83-	2+ 3+ -2 7+  0  3 -1 -4
Curve Equation t Generators 83664g1 [0,0,0,-4191,104449] 1 [322:249:8]&[56:213:1]
83664h (1 curve)	0	2+ 3+ 7+ 83-	2+ 3+ -4 7+  6 -1 -3 -4
Curve Equation t 83664h1 [0,0,0,-87,-355] 1
83664i (2 curves)	2	2+ 3+ 7- 83+	2+ 3+ -2 7- -4 -2 -8  2
Curve Equation t Generators 83664i1 [0,0,0,-2511,4590] 2 [-23:224:1]&[-2:98:1] 83664i2 [0,0,0,-28971,1893834] 2 [-141:1782:1]&[19:1162:1]
83664j (2 curves)	2	2+ 3+ 7- 83+	2+ 3+ -2 7- -6 -4  6 -2
Curve Equation t Generators 83664j1 [0,0,0,-426,3015] 2 [3:42:1]&[31:140:1] 83664j2 [0,0,0,-1671,-23130] 2 [-27:48:1]&[-23:56:1]
83664k (2 curves)	1	2+ 3+ 7- 83-	2+ 3+  2 7-  4 -2  8  2
Curve Equation t Generators 83664k1 [0,0,0,-279,-170] 2 [38:210:1] 83664k2 [0,0,0,-3219,-70142] 2 [66:70:1]
83664l (2 curves)	1	2+ 3+ 7- 83-	2+ 3+  2 7-  6 -4 -6 -2
Curve Equation t Generators 83664l1 [0,0,0,-3834,-81405] 2 [355:6580:1] 83664l2 [0,0,0,-15039,624510] 2 [97:280:1]
83664m (1 curve)	2	2+ 3- 7+ 83+	2+ 3- -1 7+  1  0  2 -7
Curve Equation t Generators 83664m1 [0,0,0,2157,117826] 1 [35:-486:1]&[11:378:1]
83664n (4 curves)	0	2+ 3- 7+ 83+	2+ 3-  2 7+  4  2 -2 -8
Curve Equation t 83664n1 [0,0,0,-1074,24887] 2 83664n2 [0,0,0,-20919,1163990] 4 83664n3 [0,0,0,-24699,714170] 2 83664n4 [0,0,0,-334659,74516402] 2
83664o (2 curves)	0	2+ 3- 7+ 83+	2+ 3-  2 7+  4  4 -2  2
Curve Equation t 83664o1 [0,0,0,-4854,-128945] 2 83664o2 [0,0,0,-1119,-322418] 2
83664p (1 curve)	1	2+ 3- 7+ 83-	2+ 3- -1 7+  3 -4  6 -1
Curve Equation t Generators 83664p1 [0,0,0,-59043,5563154] 1 [107:686:1]
83664q (4 curves)	1	2+ 3- 7+ 83-	2+ 3- -2 7+  0 -2 -6  8
Curve Equation t Generators 83664q1 [0,0,0,-7311,-235730] 2 [-54:40:1] 83664q2 [0,0,0,-16131,443410] 4 [-133:486:1] 83664q3 [0,0,0,51909,3205834] 4 [-49:738:1] 83664q4 [0,0,0,-225291,41145946] 2 [279:86:1]
83664r (2 curves)	1	2+ 3- 7+ 83-	2+ 3- -2 7+  2 -4  0  0
Curve Equation t Generators 83664r1 [0,0,0,-831,-8930] 2 [-18:14:1] 83664r2 [0,0,0,-2091,24586] 2 [-45:166:1]
83664s (1 curve)	1	2+ 3- 7- 83+	2+ 3-  0 7-  4  1  3  4
Curve Equation t Generators 83664s1 [0,0,0,-75,-331] 1 [372:955:27]
83664t (2 curves)	1	2+ 3- 7- 83+	2+ 3-  2 7-  0  4  2 -6
Curve Equation t Generators 83664t1 [0,0,0,186,187] 2 [836:4455:64] 83664t2 [0,0,0,-759,1510] 2 [-10:90:1]
83664u (2 curves)	1	2+ 3- 7- 83+	2+ 3-  2 7- -6  6  4 -4
Curve Equation t Generators 83664u1 [0,0,0,-579,2770] 2 [-13:90:1] 83664u2 [0,0,0,1941,20410] 2 [15:230:1]
83664v (1 curve)	2	2+ 3- 7- 83-	2+ 3-  0 7- -4 -1 -3 -4
Curve Equation t Generators 83664v1 [0,0,0,-1335,-124427] 1 [68:315:1]&[92:729:1]
83664w (1 curve)	0	2+ 3- 7- 83-	2+ 3-  2 7-  1 -2  2 -7
Curve Equation t 83664w1 [0,0,0,141,-1262] 1
83664x (1 curve)	0	2+ 3- 7- 83-	2+ 3-  2 7- -2  1 -5  0
Curve Equation t 83664x1 [0,0,0,141,-1843] 1
83664y (2 curves)	0	2+ 3- 7- 83-	2+ 3-  2 7-  4  4 -2  6
Curve Equation t 83664y1 [0,0,0,-151014,22713563] 2 83664y2 [0,0,0,-2419959,1448972390] 2
83664z (1 curve)	0	2+ 3- 7- 83-	2+ 3-  3 7-  3 -2  3  0
Curve Equation t 83664z1 [0,0,0,23109,-2952182] 1
83664ba (2 curves)	0	2- 3+ 7+ 83+	2- 3+  2 7+ -2 -4  6  2
Curve Equation t 83664ba1 [0,0,0,-4779,63450] 2 83664ba2 [0,0,0,-65259,6413850] 2
83664bb (2 curves)	0	2- 3+ 7+ 83+	2- 3+  3 7+  3 -4 -3 -2
Curve Equation t 83664bb1 [0,0,0,3789,11762] 1 83664bb2 [0,0,0,-55971,5356962] 1
83664bc (2 curves)	1	2- 3+ 7+ 83-	2- 3+ -2 7+  2 -4 -6  2
Curve Equation t Generators 83664bc1 [0,0,0,-531,-2350] 2 [-17:42:1] 83664bc2 [0,0,0,-7251,-237550] 2 [-49:10:1]
83664bd (2 curves)	1	2- 3+ 7+ 83-	2- 3+ -3 7+ -3 -4  3 -2
Curve Equation t Generators 83664bd1 [0,0,0,-6219,-198406] 1 [133:1152:1] 83664bd2 [0,0,0,34101,-317574] 1 [1077:35856:1]
83664be (1 curve)	1	2- 3+ 7- 83+	2- 3+  0 7- -6 -3  1  4
Curve Equation t Generators 83664be1 [0,0,0,135,243] 1 [18:189:8]
83664bf (1 curve)	1	2- 3+ 7- 83+	2- 3+ -1 7-  5  6 -2 -1
Curve Equation t Generators 83664bf1 [0,0,0,57,194] 1 [10:42:1]
83664bg (1 curve)	1	2- 3+ 7- 83+	2- 3+  2 7-  4  1  3 -4
Curve Equation t Generators 83664bg1 [0,0,0,2811,7663] 1 [174:2401:1]
83664bh (1 curve)	0	2- 3+ 7- 83-	2- 3+  0 7-  6 -3 -1  4
Curve Equation t 83664bh1 [0,0,0,15,-9] 1
83664bi (1 curve)	0	2- 3+ 7- 83-	2- 3+  1 7- -5  6  2 -1
Curve Equation t 83664bi1 [0,0,0,513,-5238] 1
83664bj (1 curve)	2	2- 3+ 7- 83-	2- 3+ -2 7- -4  1 -3 -4
Curve Equation t Generators 83664bj1 [0,0,0,25299,-206901] 1 [10:217:1]&[66:1323:1]
83664bk (2 curves)	1	2- 3- 7+ 83+	2- 3-  0 7+  0  5 -3  4
Curve Equation t Generators 83664bk1 [0,0,0,-2145,38243] 1 [26:7:1] 83664bk2 [0,0,0,555,125939] 1 [458:9821:1]
83664bl (1 curve)	1	2- 3- 7+ 83+	2- 3-  1 7+ -3  4 -2  7
Curve Equation t Generators 83664bl1 [0,0,0,14253,-2708270318] 1 [14606:1764504:1]
83664bm (2 curves)	1	2- 3- 7+ 83+	2- 3- -2 7+  6 -4 -4  4
Curve Equation t Generators 83664bm1 [0,0,0,-17211,-743510] 2 [-51:40:1] 83664bm2 [0,0,0,-264171,-52259366] 2 [-37245:1174:125]
83664bn (2 curves)	1	2- 3- 7+ 83+	2- 3- -2 7+ -6  4 -8  4
Curve Equation t Generators 83664bn1 [0,0,0,-82011,7330570] 2 [-291:2560:1] 83664bn2 [0,0,0,-404571,-92469494] 2 [-417:1930:1]
83664bo (1 curve)	0	2- 3- 7+ 83-	2- 3-  0 7+  1  6  6  1
Curve Equation t 83664bo1 [0,0,0,-1515,55834] 1
83664bp (2 curves)	0	2- 3- 7+ 83-	2- 3-  0 7+ -2 -2  4 -4
Curve Equation t 83664bp1 [0,0,0,-1912620,2107752887] 2 83664bp2 [0,0,0,-38972055,93577850354] 2
83664bq (1 curve)	0	2- 3- 7+ 83-	2- 3-  1 7+ -1 -4  6  5
Curve Equation t 83664bq1 [0,0,0,-1230627,525996578] 1
83664br (1 curve)	0	2- 3- 7+ 83-	2- 3- -2 7+  2 -7 -3  8
Curve Equation t 83664br1 [0,0,0,-741,-32821] 1
83664bs (1 curve)	0	2- 3- 7+ 83-	2- 3- -2 7+ -6  3  1  0
Curve Equation t 83664bs1 [0,0,0,-3029421,2029517471] 1
83664bt (1 curve)	0	2- 3- 7+ 83-	2- 3-  3 7+ -5 -2 -8  5
Curve Equation t 83664bt1 [0,0,0,39309,722738] 1
83664bu (2 curves)	0	2- 3- 7+ 83-	2- 3-  4 7+  0  0 -2  0
Curve Equation t 83664bu1 [0,0,0,1212,-45925] 2 83664bu2 [0,0,0,-14223,-586150] 2
83664bv (1 curve)	0	2- 3- 7- 83+	2- 3-  0 7-  1  2 -2 -1
Curve Equation t 83664bv1 [0,0,0,1799205,10035558538] 1
83664bw (2 curves)	0	2- 3- 7- 83+	2- 3-  0 7-  4 -4 -6  4
Curve Equation t 83664bw1 [0,0,0,60,-2977] 2 83664bw2 [0,0,0,-2775,-54574] 2
83664bx (1 curve)	0	2- 3- 7- 83+	2- 3-  2 7-  1 -2  6 -1
Curve Equation t 83664bx1 [0,0,0,-3099,-69302] 1
83664by (2 curves)	0	2- 3- 7- 83+	2- 3-  2 7-  2  0  4  8
Curve Equation t 83664by1 [0,0,0,-12099,260930] 2 83664by2 [0,0,0,-92739,-10689982] 2
83664bz (2 curves)	0	2- 3- 7- 83+	2- 3-  2 7- -2 -2  0 -4
Curve Equation t 83664bz1 [0,0,0,-4374219,3322489210] 2 83664bz2 [0,0,0,3528501,13999063930] 2
83664ca (2 curves)	0	2- 3- 7- 83+	2- 3-  2 7- -2  4  0  8
Curve Equation t 83664ca1 [0,0,0,-417639459,3285072371810] 2 83664ca2 [0,0,0,-429740499,3084604122962] 2
83664cb (1 curve)	0	2- 3- 7- 83+	2- 3- -3 7-  1  2  1 -4
Curve Equation t 83664cb1 [0,0,0,-2019,-95006] 1
83664cc (1 curve)	0	2- 3- 7- 83+	2- 3- -3 7-  1 -4 -2 -1
Curve Equation t 83664cc1 [0,0,0,-721299,-558340526] 1
83664cd (1 curve)	1	2- 3- 7- 83-	2- 3-  0 7- -3 -6  2  1
Curve Equation t Generators 83664cd1 [0,0,0,-3555,198882] 1 [-47:512:1]
83664ce (1 curve)	1	2- 3- 7- 83-	2- 3- -1 7-  3  2 -4  5
Curve Equation t Generators 83664ce1 [0,0,0,-302388372723,-64089705208116814] 1 [1945867319120898371962357:418114066996425385274149566:2966140223618953627]
83664cf (1 curve)	1	2- 3- 7- 83-	2- 3- -1 7-  3  2  5 -4
Curve Equation t Generators 83664cf1 [0,0,0,-8643,309314] 1 [55:18:1]
83664cg (1 curve)	1	2- 3- 7- 83-	2- 3- -1 7- -5 -2  0 -7
Curve Equation t Generators 83664cg1 [0,0,0,-189363,57548594] 1 [535:-10458:1]
83664ch (4 curves)	1	2- 3- 7- 83-	2- 3-  2 7-  0  2  2 -4
Curve Equation t Generators 83664ch1 [0,0,0,-7059,-917422] 2 [25009403604601:963357643735040:16796884481] 83664ch2 [0,0,0,-191379,-32141230] 4 [13090285:-1007631360:2197] 83664ch3 [0,0,0,-272019,-2449582] 2 [16658:735795:8] 83664ch4 [0,0,0,-3059859,-2060156590] 2 [-2218931:5760:2197]
83664ci (2 curves)	1	2- 3- 7- 83-	2- 3- -2 7- -2  2  8  0
Curve Equation t Generators 83664ci1 [0,0,0,-543891,154388050] 2 [407:666:1] 83664ci2 [0,0,0,-533811,160385650] 2 [519:4810:1]
83664cj (4 curves)	1	2- 3- 7- 83-	2- 3- -2 7-  4 -2  6  0
Curve Equation t Generators 83664cj1 [0,0,0,-37371,-2776790] 2 [3981:250880:1] 83664cj2 [0,0,0,-48891,-922070] 4 [-22:378:1] 83664cj3 [0,0,0,190149,-7280534] 2 [381:10976:1] 83664cj4 [0,0,0,-472251,124138474] 4 [426:518:1]
83664ck (1 curve)	1	2- 3- 7- 83-	2- 3-  3 7- -3  2 -5  0
Curve Equation t Generators 83664ck1 [0,0,0,10401549,-168466608718] 1 [5263:179046:1]
83664cl (1 curve)	1	2- 3- 7- 83-	2- 3- -3 7-  3 -4 -2 -3
Curve Equation t Generators 83664cl1 [0,0,0,-2019,-39454] 1 [55:126:1]
83664cm (1 curve)	1	2- 3- 7- 83-	2- 3- -4 7- -3  2  2 -7
Curve Equation t Generators 83664cm1 [0,0,0,-461667,-122160670] 1 [809:5816:1]

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