Cremona's table of elliptic curves

126400 = 2⁶ · 5² · 79

Class	r	Atkin-Lehner	Eigenvalues
126400a (2 curves)	1	2+ 5+ 79+	2+  0 5+  2  0  2  0 -4
Curve Equation t Generators 126400a1 [0,0,0,1300,-66000] 2 [2280:21700:27] 126400a2 [0,0,0,-18700,-906000] 2 [430:8400:1]
126400b (4 curves)	1	2+ 5+ 79+	2+  0 5+  4 -4  6 -6  4
Curve Equation t Generators 126400b1 [0,0,0,-10700,806000] 2 [2120:97500:1] 126400b2 [0,0,0,-210700,37206000] 4 [57720:2611700:27] 126400b3 [0,0,0,-250700,22086000] 2 [-79430823927:2164201324683:258474853] 126400b4 [0,0,0,-3370700,2381926000] 2 [160516120817:772173507:151419437]
126400c (1 curve)	1	2+ 5+ 79+	2+  1 5+ -1 -5  0 -2  4
Curve Equation t Generators 126400c1 [0,1,0,-3576383,2602047863] 1 [998:5275:1]
126400d (1 curve)	1	2+ 5+ 79+	2+  1 5+  2  1  2  1  1
Curve Equation t Generators 126400d1 [0,1,0,-43940833,-112212689537] 1 [3017335568189592157060683617136974289079487344003135497:1093569960907774781417166615548275802247028791391681518052:22911730142987298390044865449931425504217489073181]
126400e (1 curve)	1	2+ 5+ 79+	2+ -1 5+  1  2  3  6 -4
Curve Equation t Generators 126400e1 [0,-1,0,-3233,66337] 1 [41:32:1]
126400f (1 curve)	1	2+ 5+ 79+	2+ -1 5+  1 -2  3 -4 -2
Curve Equation t Generators 126400f1 [0,-1,0,-608,5962] 1 [11:22:1]
126400g (1 curve)	1	2+ 5+ 79+	2+ -1 5+  3 -4 -7  4  6
Curve Equation t Generators 126400g1 [0,-1,0,-5633,155137] 1 [33:64:1]
126400h (2 curves)	1	2+ 5+ 79+	2+ -1 5+ -3 -2 -1  2  0
Curve Equation t Generators 126400h1 [0,-1,0,-672033,210411937] 1 [7321:622592:1] 126400h2 [0,-1,0,-37408033,-88048276063] 1 [34659297159:1929321162368:4019679]
126400i (1 curve)	1	2+ 5+ 79+	2+ -1 5+ -3 -2 -1 -4 -6
Curve Equation t Generators 126400i1 [0,-1,0,-18033,-926063] 1 [-77:4:1]
126400j (2 curves)	1	2+ 5+ 79+	2+ -1 5+ -3  3  4  2  0
Curve Equation t Generators 126400j1 [0,-1,0,-5033,141187] 1 [-18:475:1] 126400j2 [0,-1,0,29967,-5633813] 1 [200866458:11701339525:59319]
126400k (2 curves)	1	2+ 5+ 79+	2+  2 5+  0  4  2  2  0
Curve Equation t Generators 126400k1 [0,-1,0,1567,48737] 2 [3009:34100:27] 126400k2 [0,-1,0,-14433,576737] 2 [-1266784:31411743:29791]
126400l (2 curves)	1	2+ 5+ 79+	2+  2 5+ -2 -4 -6  0 -4
Curve Equation t Generators 126400l1 [0,-1,0,-64033,-7092063] 2 [4547683737:35112600000:13997521] 126400l2 [0,-1,0,-1064033,-422092063] 2 [76484362992363:-6554899290342700:10204192809]
126400m (2 curves)	1	2+ 5+ 79+	2+ -2 5+  2  4  2  4  4
Curve Equation t Generators 126400m1 [0,1,0,-40033,3768063] 2 [-227:1100:1] 126400m2 [0,1,0,-680033,215608063] 2 [12573:1406900:1]
126400n (2 curves)	1	2+ 5+ 79+	2+ -2 5+ -2 -4  2 -4 -4
Curve Equation t Generators 126400n1 [0,1,0,1967,-5937] 2 [43:400:1] 126400n2 [0,1,0,-8033,-55937] 2 [-86:79:1]
126400o (1 curve)	1	2+ 5+ 79+	2+ -3 5+ -2  1 -6 -3  1
Curve Equation t Generators 126400o1 [0,0,0,20,-3440] 1 [21:79:1]
126400p (2 curves)	2	2+ 5+ 79-	2+  0 5+  0 -4 -2  0  0
Curve Equation t Generators 126400p1 [0,0,0,-6800,133000] 2 [6:304:1]&[90:500:1] 126400p2 [0,0,0,-46300,-3738000] 2 [-120:300:1]&[51880:11816700:1]
126400q (3 curves)	0	2+ 5+ 79-	2+  1 5+  1  0  5  0 -2
Curve Equation t 126400q1 [0,1,0,-74433,7791263] 1 126400q2 [0,1,0,-130433,-5480737] 1 126400q3 [0,1,0,-8346433,-9283872737] 1
126400r (1 curve)	0	2+ 5+ 79-	2+  1 5+ -1  1 -4  2  8
Curve Equation t 126400r1 [0,1,0,-2533,50563] 1
126400s (1 curve)	0	2+ 5+ 79-	2+  1 5+ -1  2  3 -4  2
Curve Equation t 126400s1 [0,1,0,-608,-5962] 1
126400t (2 curves)	0	2+ 5+ 79-	2+  1 5+  4  0 -4 -6 -8
Curve Equation t 126400t1 [0,1,0,-60833,6070463] 1 126400t2 [0,1,0,339167,8070463] 1
126400u (1 curve)	0	2+ 5+ 79-	2+  1 5+  5 -4  1  8 -2
Curve Equation t 126400u1 [0,1,0,-1633,20863] 1
126400v (1 curve)	0	2+ 5+ 79-	2+ -1 5+  1  5  0 -2 -4
Curve Equation t 126400v1 [0,-1,0,-3576383,-2602047863] 1
126400w (2 curves)	0	2+ 5+ 79-	2+ -2 5+  2  4  2 -4 -4
Curve Equation t 126400w1 [0,1,0,-101533,-12457437] 2 126400w2 [0,1,0,-62033,-22213937] 2
126400x (1 curve)	0	2+ 5+ 79-	2+  3 5+  2 -1 -6 -3 -1
Curve Equation t 126400x1 [0,0,0,20,3440] 1
126400y (1 curve)	0	2+ 5+ 79-	2+  3 5+ -3  5  4  6  0
Curve Equation t 126400y1 [0,0,0,800,-76000] 1
126400z (1 curve)	0	2+ 5+ 79-	2+ -3 5+ -1  6 -1  4  6
Curve Equation t 126400z1 [0,0,0,-700,-2000] 1
126400ba (1 curve)	2	2+ 5+ 79-	2+ -3 5+  3  2 -5 -6  0
Curve Equation t Generators 126400ba1 [0,0,0,-13900,454000] 1 [-56:1028:1]&[14:512:1]
126400bb (1 curve)	0	2+ 5- 79+	2+ -1 5- -2  1 -2 -1  1
Curve Equation t 126400bb1 [0,-1,0,-1757633,-896998463] 1
126400bc (1 curve)	0	2+ 5- 79+	2+  3 5-  2  1  6  3  1
Curve Equation t 126400bc1 [0,0,0,500,-430000] 1
126400bd (1 curve)	1	2+ 5- 79-	2+  1 5- -1 -1  0  6 -4
Curve Equation t Generators 126400bd1 [0,1,0,-333,5213] 1 [516:2125:27]
126400be (1 curve)	1	2+ 5- 79-	2+ -1 5-  1 -1  0 -6 -4
Curve Equation t Generators 126400be1 [0,-1,0,-13,47] 1 [2:5:1]
126400bf (2 curves)	1	2+ 5- 79-	2+ -1 5- -4  0  4  6 -8
Curve Equation t Generators 126400bf1 [0,-1,0,-2433,49537] 1 [33:64:1] 126400bf2 [0,-1,0,13567,59137] 1 [161:2528:1]
126400bg (1 curve)	1	2+ 5- 79-	2+ -3 5- -2 -1  6  3 -1
Curve Equation t Generators 126400bg1 [0,0,0,500,430000] 1 [-26:632:1]
126400bh (2 curves)	0	2- 5+ 79+	2-  0 5+  0  4 -2  0  0
Curve Equation t 126400bh1 [0,0,0,-6800,-133000] 2 126400bh2 [0,0,0,-46300,3738000] 2
126400bi (1 curve)	0	2- 5+ 79+	2-  1 5+  0 -4  0  6  0
Curve Equation t 126400bi1 [0,1,0,-33,383] 1
126400bj (1 curve)	0	2- 5+ 79+	2- -1 5+  1 -1 -4  2 -8
Curve Equation t 126400bj1 [0,-1,0,-2533,-50563] 1
126400bk (1 curve)	0	2- 5+ 79+	2- -1 5+  1  6 -5  2  4
Curve Equation t 126400bk1 [0,-1,0,-108,-38] 1
126400bl (3 curves)	0	2- 5+ 79+	2- -1 5+ -1  0  5  0  2
Curve Equation t 126400bl1 [0,-1,0,-74433,-7791263] 1 126400bl2 [0,-1,0,-130433,5480737] 1 126400bl3 [0,-1,0,-8346433,9283872737] 1
126400bm (2 curves)	0	2- 5+ 79+	2- -1 5+ -4  0 -4 -6  8
Curve Equation t 126400bm1 [0,-1,0,-60833,-6070463] 1 126400bm2 [0,-1,0,339167,-8070463] 1
126400bn (1 curve)	0	2- 5+ 79+	2- -1 5+  5  3  0 -6  4
Curve Equation t 126400bn1 [0,-1,0,117,-863] 1
126400bo (1 curve)	0	2- 5+ 79+	2- -1 5+ -5  4  1  8  2
Curve Equation t 126400bo1 [0,-1,0,-1633,-20863] 1
126400bp (2 curves)	0	2- 5+ 79+	2-  2 5+ -2 -4  2 -4  4
Curve Equation t 126400bp1 [0,-1,0,-101533,12457437] 2 126400bp2 [0,-1,0,-62033,22213937] 2
126400bq (2 curves)	0	2- 5+ 79+	2-  2 5+ -4  0 -6  6  4
Curve Equation t 126400bq1 [0,-1,0,967,-85063] 2 126400bq2 [0,-1,0,-24033,-1360063] 2
126400br (1 curve)	0	2- 5+ 79+	2-  3 5+  1 -6 -1  4 -6
Curve Equation t 126400br1 [0,0,0,-700,2000] 1
126400bs (1 curve)	0	2- 5+ 79+	2-  3 5+ -3 -2 -5 -6  0
Curve Equation t 126400bs1 [0,0,0,-13900,-454000] 1
126400bt (1 curve)	0	2- 5+ 79+	2- -3 5+  3 -5  4  6  0
Curve Equation t 126400bt1 [0,0,0,800,76000] 1
126400bu (2 curves)	1	2- 5+ 79-	2-  0 5+ -2  0  2  0  4
Curve Equation t Generators 126400bu1 [0,0,0,1300,66000] 2 [60:600:1] 126400bu2 [0,0,0,-18700,906000] 2 [-30:1200:1]
126400bv (4 curves)	1	2- 5+ 79-	2-  0 5+ -4  4  6 -6 -4
Curve Equation t Generators 126400bv1 [0,0,0,-10700,-806000] 2 [13090:1497600:1] 126400bv2 [0,0,0,-210700,-37206000] 4 [-293130136:-74620161:1124864] 126400bv3 [0,0,0,-250700,-22086000] 2 [-18844:327613:64] 126400bv4 [0,0,0,-3370700,-2381926000] 2 [-42461046378873304:29611022010471:40057856989696]
126400bw (1 curve)	1	2- 5+ 79-	2-  1 5+ -1 -2  3  6  4
Curve Equation t Generators 126400bw1 [0,1,0,-3233,-66337] 1 [-10969:25136:343]
126400bx (1 curve)	1	2- 5+ 79-	2-  1 5+ -1 -6 -5  2 -4
Curve Equation t Generators 126400bx1 [0,1,0,-108,38] 1 [-11:4:1]
126400by (2 curves)	1	2- 5+ 79-	2-  1 5+  3  2 -1  2  0
Curve Equation t Generators 126400by1 [0,1,0,-672033,-210411937] 1 [-2612618071385528725:-5214094029108421336:5858770858296875] 126400by2 [0,1,0,-37408033,88048276063] 1 [-67395:41090744:125]
126400bz (1 curve)	1	2- 5+ 79-	2-  1 5+  3  2 -1 -4  6
Curve Equation t Generators 126400bz1 [0,1,0,-18033,926063] 1 [67:152:1]
126400ca (2 curves)	1	2- 5+ 79-	2-  1 5+  3 -3  4  2  0
Curve Equation t Generators 126400ca1 [0,1,0,-5033,-141187] 1 [67985982108:858879692875:359425431] 126400ca2 [0,1,0,29967,5633813] 1 [107172:2652425:729]
126400cb (1 curve)	1	2- 5+ 79-	2-  1 5+ -3  4 -7  4 -6
Curve Equation t Generators 126400cb1 [0,1,0,-5633,-155137] 1 [-1401:316:27]
126400cc (1 curve)	1	2- 5+ 79-	2-  1 5+ -5 -3  0 -6 -4
Curve Equation t Generators 126400cc1 [0,1,0,117,863] 1 [-2:25:1]
126400cd (1 curve)	1	2- 5+ 79-	2- -1 5+  0  4  0  6  0
Curve Equation t Generators 126400cd1 [0,-1,0,-33,-383] 1 [21:88:1]
126400ce (1 curve)	1	2- 5+ 79-	2- -1 5+ -2 -1  2  1 -1
Curve Equation t Generators 126400ce1 [0,-1,0,-43940833,112212689537] 1 [-6259:376832:1]
126400cf (2 curves)	1	2- 5+ 79-	2-  2 5+  2  4  2 -4  4
Curve Equation t Generators 126400cf1 [0,-1,0,1967,5937] 2 [27321:279000:343] 126400cf2 [0,-1,0,-8033,55937] 2 [25967529:143846200:250047]
126400cg (2 curves)	1	2- 5+ 79-	2-  2 5+ -2 -4  2  4 -4
Curve Equation t Generators 126400cg1 [0,-1,0,-40033,-3768063] 2 [733106937:15503872600:1367631] 126400cg2 [0,-1,0,-680033,-215608063] 2 [294880576741892391:-1495685584314042200:305868680511633]
126400ch (2 curves)	1	2- 5+ 79-	2- -2 5+  0 -4  2  2  0
Curve Equation t Generators 126400ch1 [0,1,0,1567,-48737] 2 [33:200:1] 126400ch2 [0,1,0,-14433,-576737] 2 [353:6200:1]
126400ci (2 curves)	1	2- 5+ 79-	2- -2 5+  2  4 -6  0  4
Curve Equation t Generators 126400ci1 [0,1,0,-64033,7092063] 2 [193:1400:1] 126400ci2 [0,1,0,-1064033,422092063] 2 [-2998:221753:8]
126400cj (2 curves)	1	2- 5+ 79-	2- -2 5+  4  0 -6  6 -4
Curve Equation t Generators 126400cj1 [0,1,0,967,85063] 2 [-27:200:1] 126400cj2 [0,1,0,-24033,1360063] 2 [473:9800:1]
126400ck (1 curve)	1	2- 5- 79+	2-  1 5- -1  1  0 -6  4
Curve Equation t Generators 126400ck1 [0,1,0,-13,-47] 1 [48:335:1]
126400cl (2 curves)	1	2- 5- 79+	2-  1 5-  4  0  4  6  8
Curve Equation t Generators 126400cl1 [0,1,0,-2433,-49537] 1 [925975:2091712:15625] 126400cl2 [0,1,0,13567,-59137] 1 [383:7840:1]
126400cm (1 curve)	1	2- 5- 79+	2- -1 5-  0 -4  0 -6  0
Curve Equation t Generators 126400cm1 [0,-1,0,-833,49537] 1 [17:-200:1]
126400cn (1 curve)	1	2- 5- 79+	2- -1 5-  1  1  0  6  4
Curve Equation t Generators 126400cn1 [0,-1,0,-333,-5213] 1 [62374:189125:2197]
126400co (2 curves)	1	2- 5- 79+	2-  2 5- -2  4  0 -2  4
Curve Equation t Generators 126400co1 [0,-1,0,-13208,588662] 2 [74767957578:38655742859:1080045576] 126400co2 [0,-1,0,-13833,530537] 2 [819128:5167125:6859]
126400cp (2 curves)	1	2- 5- 79+	2- -2 5-  2  4  0  2  4
Curve Equation t Generators 126400cp1 [0,1,0,-528,4498] 2 [193:2670:1] 126400cp2 [0,1,0,-553,4023] 2 [18:15:1]
126400cq (1 curve)	0	2- 5- 79-	2-  1 5-  0  4  0 -6  0
Curve Equation t 126400cq1 [0,1,0,-833,-49537] 1
126400cr (1 curve)	0	2- 5- 79-	2-  1 5-  2 -1 -2 -1 -1
Curve Equation t 126400cr1 [0,1,0,-1757633,896998463] 1
126400cs (2 curves)	2	2- 5- 79-	2-  2 5- -2 -4  0  2 -4
Curve Equation t Generators 126400cs1 [0,-1,0,-528,-4498] 2 [167:2130:1]&[2867:153480:1] 126400cs2 [0,-1,0,-553,-4023] 2 [-9:12:1]&[432:8955:1]
126400ct (2 curves)	2	2- 5- 79-	2- -2 5-  2 -4  0 -2 -4
Curve Equation t Generators 126400ct1 [0,1,0,-13208,-588662] 2 [17933:2401500:1]&[1146:5539:8] 126400ct2 [0,1,0,-13833,-530537] 2 [-63:308:1]&[258:3625:1]

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

Part of Computational Number Theory
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