Cremona's table of elliptic curves

75840 = 2⁶ · 3 · 5 · 79

Class	r	Atkin-Lehner	Eigenvalues
75840a (4 curves)	1	2+ 3+ 5+ 79+	2+ 3+ 5+  0  0  2 -2  4
Curve Equation t Generators 75840a1 [0,-1,0,-7901,-267699] 2 [147719:610120:1331] 75840a2 [0,-1,0,-7921,-266255] 4 [345:6160:1] 75840a3 [0,-1,0,-1921,-665855] 2 [117285:2129380:343] 75840a4 [0,-1,0,-14241,225441] 2 [129:720:1]
75840b (4 curves)	1	2+ 3+ 5+ 79+	2+ 3+ 5+  0  0 -6 -6 -4
Curve Equation t Generators 75840b1 [0,-1,0,-1921,-28799] 2 [-150:133:8] 75840b2 [0,-1,0,-7041,197505] 4 [-16:553:1] 75840b3 [0,-1,0,12159,1069185] 2 [131:2212:1] 75840b4 [0,-1,0,-108161,13727361] 2 [193:64:1]
75840c (2 curves)	1	2+ 3+ 5+ 79+	2+ 3+ 5+  0 -2  6  6  4
Curve Equation t Generators 75840c1 [0,-1,0,-2617041,1656716241] 2 [-146026925:-1292700528:79507] 75840c2 [0,-1,0,-42060161,105005579265] 2 [-7351:130032:1]
75840d (2 curves)	1	2+ 3+ 5+ 79+	2+ 3+ 5+ -2 -2  1  8 -5
Curve Equation t Generators 75840d1 [0,-1,0,-209921,-264801279] 1 [1219611:259192448:27] 75840d2 [0,-1,0,-296648321,-1966478120319] 1 [32389059311500859644286868859923:6426487072099017738545186131048864:694523502346811414952492531]
75840e (4 curves)	1	2+ 3+ 5+ 79+	2+ 3+ 5+  4 -4  2 -2 -4
Curve Equation t Generators 75840e1 [0,-1,0,6399,-6399] 2 [99:1260:1] 75840e2 [0,-1,0,-25601,-25599] 4 [15841:1993600:1] 75840e3 [0,-1,0,-278401,56449921] 2 [77544343373:52477633620:241804367] 75840e4 [0,-1,0,-284801,-58241919] 2 [-28150796120:-16779259273:88121125]
75840f (2 curves)	0	2+ 3+ 5+ 79-	2+ 3+ 5+ -1 -3  1  3 -2
Curve Equation t 75840f1 [0,-1,0,-1231025441,-47771791051359] 1 75840f2 [0,-1,0,-145135625441,-21281833044211359] 1
75840g (1 curve)	0	2+ 3+ 5+ 79-	2+ 3+ 5+ -2  2  3  4  5
Curve Equation t 75840g1 [0,-1,0,-321,5121] 1
75840h (1 curve)	0	2+ 3+ 5+ 79-	2+ 3+ 5+ -2 -2 -5  4 -1
Curve Equation t 75840h1 [0,-1,0,-7521,-253215] 1
75840i (1 curve)	0	2+ 3+ 5+ 79-	2+ 3+ 5+ -5  3  5 -3 -2
Curve Equation t 75840i1 [0,-1,0,-144321,22685121] 1
75840j (1 curve)	0	2+ 3+ 5- 79+	2+ 3+ 5-  2  2 -7 -4 -1
Curve Equation t 75840j1 [0,-1,0,-225,-1695] 1
75840k (2 curves)	0	2+ 3+ 5- 79+	2+ 3+ 5-  2 -4  2 -4 -4
Curve Equation t 75840k1 [0,-1,0,-130313505,666217541025] 2 75840k2 [0,-1,0,-2178313505,39131343941025] 2
75840l (2 curves)	0	2+ 3+ 5- 79+	2+ 3+ 5- -4  0  2 -4  4
Curve Equation t 75840l1 [0,-1,0,-240,450] 2 75840l2 [0,-1,0,-2265,-40455] 2
75840m (2 curves)	1	2+ 3+ 5- 79-	2+ 3+ 5-  0  6 -2  0  4
Curve Equation t Generators 75840m1 [0,-1,0,-80,-78] 2 [19:70:1] 75840m2 [0,-1,0,295,-903] 2 [122:665:8]
75840n (1 curve)	1	2+ 3+ 5- 79-	2+ 3+ 5- -1 -1 -3 -1  0
Curve Equation t Generators 75840n1 [0,-1,0,-3460,1392142] 1 [339:6250:1]
75840o (1 curve)	1	2+ 3+ 5- 79-	2+ 3+ 5- -1  3 -7 -5  8
Curve Equation t Generators 75840o1 [0,-1,0,10175,-240575] 1 [195:3020:1]
75840p (2 curves)	1	2+ 3+ 5- 79-	2+ 3+ 5- -1 -3  1 -3  4
Curve Equation t Generators 75840p1 [0,-1,0,-7585,7197217] 1 [159:3160:1] 75840p2 [0,-1,0,68255,-194066975] 1 [1215:41000:1]
75840q (1 curve)	1	2+ 3+ 5- 79-	2+ 3+ 5- -1  5  5 -3 -4
Curve Equation t Generators 75840q1 [0,-1,0,-60,342] 1 [-1:20:1]
75840r (2 curves)	1	2+ 3+ 5- 79-	2+ 3+ 5-  2 -6 -5  0  7
Curve Equation t Generators 75840r1 [0,-1,0,1855,-460095] 1 [40551:405504:343] 75840r2 [0,-1,0,-397505,-96349503] 1 [1137:30336:1]
75840s (1 curve)	1	2+ 3+ 5- 79-	2+ 3+ 5-  3  3  1 -7  6
Curve Equation t Generators 75840s1 [0,-1,0,415,-13983] 1 [19:20:1]
75840t (2 curves)	1	2+ 3+ 5- 79-	2+ 3+ 5-  4 -4 -6  4 -4
Curve Equation t Generators 75840t1 [0,-1,0,-30480,2034522] 2 [119:280:1] 75840t2 [0,-1,0,-486105,130611897] 2 [339:2160:1]
75840u (2 curves)	1	2+ 3+ 5- 79-	2+ 3+ 5- -4 -6  2 -2 -4
Curve Equation t Generators 75840u1 [0,-1,0,-1665,27777] 2 [17:64:1] 75840u2 [0,-1,0,-26945,1711425] 2 [97:-32:1]
75840v (6 curves)	0	2+ 3- 5+ 79+	2+ 3- 5+  0  4  2 -6 -4
Curve Equation t 75840v1 [0,1,0,-3404801,2437496415] 2 75840v2 [0,1,0,-54604801,155289976415] 4 75840v3 [0,1,0,-54732801,154525227615] 4 75840v4 [0,1,0,-873676801,9939432645215] 2 75840v5 [0,1,0,-14790401,375270895455] 2 75840v6 [0,1,0,-96723201,-115162315425] 2
75840w (1 curve)	0	2+ 3- 5+ 79+	2+ 3- 5+  2 -2  3  4 -5
Curve Equation t 75840w1 [0,1,0,-321,-5121] 1
75840x (1 curve)	0	2+ 3- 5+ 79+	2+ 3- 5+ -3 -3  5  7  0
Curve Equation t 75840x1 [0,1,0,-6881,-222081] 1
75840y (1 curve)	0	2+ 3- 5+ 79+	2+ 3- 5+ -3 -5  5 -3  8
Curve Equation t 75840y1 [0,1,0,-1,-7585] 1
75840z (1 curve)	0	2+ 3- 5+ 79+	2+ 3- 5+  5 -1 -3 -3 -4
Curve Equation t 75840z1 [0,1,0,8289279,22135797855] 1
75840ba (2 curves)	1	2+ 3- 5+ 79-	2+ 3- 5+  0 -2 -2 -2  4
Curve Equation t Generators 75840ba1 [0,1,0,1199,6095] 2 [11:144:1] 75840ba2 [0,1,0,-5121,45279] 2 [99:-720:1]
75840bb (2 curves)	1	2+ 3- 5- 79+	2+ 3- 5-  0 -6 -2  0 -4
Curve Equation t Generators 75840bb1 [0,1,0,-80,78] 2 [21:90:1] 75840bb2 [0,1,0,295,903] 2 [138:855:8]
75840bc (1 curve)	1	2+ 3- 5- 79+	2+ 3- 5-  1  1 -3 -1  0
Curve Equation t Generators 75840bc1 [0,1,0,-3460,-1392142] 1 [161:1500:1]
75840bd (1 curve)	1	2+ 3- 5- 79+	2+ 3- 5-  1  3 -3  3  6
Curve Equation t Generators 75840bd1 [0,1,0,-21825,-1335777] 1 [941:28500:1]
75840be (1 curve)	1	2+ 3- 5- 79+	2+ 3- 5-  1 -5  5 -3  4
Curve Equation t Generators 75840be1 [0,1,0,-60,-342] 1 [21:90:1]
75840bf (1 curve)	1	2+ 3- 5- 79+	2+ 3- 5-  2 -2 -1  4 -1
Curve Equation t Generators 75840bf1 [0,1,0,1037375,-354390625] 1 [6875:576000:1]
75840bg (2 curves)	1	2+ 3- 5- 79+	2+ 3- 5-  2  4  2  4 -4
Curve Equation t Generators 75840bg1 [0,1,0,95,26303] 2 [221:3300:1] 75840bg2 [0,1,0,-12705,535743] 2 [-93:960:1]
75840bh (2 curves)	1	2+ 3- 5- 79+	2+ 3- 5-  4  0 -6  0  0
Curve Equation t Generators 75840bh1 [0,1,0,-165,-117] 2 [-6:21:8] 75840bh2 [0,1,0,-1745,27375] 2 [10:105:1]
75840bi (2 curves)	1	2+ 3- 5- 79+	2+ 3- 5- -4  2 -6  6 -4
Curve Equation t Generators 75840bi1 [0,1,0,2815,-96417] 2 [91:960:1] 75840bi2 [0,1,0,-22465,-1072225] 2 [395:-7200:1]
75840bj (2 curves)	1	2+ 3- 5- 79+	2+ 3- 5- -4 -2  2 -2 -4
Curve Equation t Generators 75840bj1 [0,1,0,3725695,-22333373985] 2 [2458:41001:1] 75840bj2 [0,1,0,-99821185,-367289450017] 2 [-4789:30720:1]
75840bk (2 curves)	1	2+ 3- 5- 79+	2+ 3- 5- -4  4 -6  4  4
Curve Equation t Generators 75840bk1 [0,1,0,-30480,-2034522] 2 [-99:150:1] 75840bk2 [0,1,0,-486105,-130611897] 2 [861:9480:1]
75840bl (2 curves)	0	2+ 3- 5- 79-	2+ 3- 5-  4  0  2 -4 -4
Curve Equation t 75840bl1 [0,1,0,-240,-450] 2 75840bl2 [0,1,0,-2265,40455] 2
75840bm (2 curves)	0	2- 3+ 5+ 79+	2- 3+ 5+  0  2 -2 -2 -4
Curve Equation t 75840bm1 [0,-1,0,1199,-6095] 2 75840bm2 [0,-1,0,-5121,-45279] 2
75840bn (4 curves)	0	2- 3+ 5+ 79+	2- 3+ 5+  0 -4 -6  6  0
Curve Equation t 75840bn1 [0,-1,0,-2876,59010] 2 75840bn2 [0,-1,0,-6521,-116679] 4 75840bn3 [0,-1,0,20479,-856479] 2 75840bn4 [0,-1,0,-91841,-10679295] 2
75840bo (4 curves)	0	2- 3+ 5+ 79+	2- 3+ 5+ -4  0  2  2  0
Curve Equation t 75840bo1 [0,-1,0,-3180316,2358828130] 2 75840bo2 [0,-1,0,-52008441,144380312505] 4 75840bo3 [0,-1,0,-53133441,137808737505] 2 75840bo4 [0,-1,0,-832133441,9239545637505] 2
75840bp (6 curves)	1	2- 3+ 5+ 79-	2- 3+ 5+  0 -4  2 -6  4
Curve Equation t Generators 75840bp1 [0,-1,0,-3404801,-2437496415] 2 [177657828661804603:649050480967680000:83058771008591] 75840bp2 [0,-1,0,-54604801,-155289976415] 4 [-29601169370750855178469612457227:-134523113955791809432220467200:6937256158552934554293832481] 75840bp3 [0,-1,0,-54732801,-154525227615] 4 [-171366900404833:-1456002720187136:40459583737] 75840bp4 [0,-1,0,-873676801,-9939432645215] 2 [-398298324873254240454700850307180575356336542529233807744:-69671902399711924357446158169778464767101835477033:23340071780065735100202614429121337990276051971866624] 75840bp5 [0,-1,0,-14790401,-375270895455] 2 [18579725193980453679772625588416:-2432272948732573238940496089089913:979833296868078091043078144] 75840bp6 [0,-1,0,-96723201,115162315425] 2 [6688032:-10122571701:32768]
75840bq (1 curve)	1	2- 3+ 5+ 79-	2- 3+ 5+  3  3  5  7  0
Curve Equation t Generators 75840bq1 [0,-1,0,-6881,222081] 1 [61:160:1]
75840br (1 curve)	1	2- 3+ 5+ 79-	2- 3+ 5+  3  5  5 -3 -8
Curve Equation t Generators 75840br1 [0,-1,0,-1,7585] 1 [21:128:1]
75840bs (1 curve)	1	2- 3+ 5+ 79-	2- 3+ 5+ -5  1 -3 -3  4
Curve Equation t Generators 75840bs1 [0,-1,0,8289279,-22135797855] 1 [3269:199712:1]
75840bt (2 curves)	1	2- 3+ 5- 79+	2- 3+ 5-  2  0  2 -8  0
Curve Equation t Generators 75840bt1 [0,-1,0,615,8217] 2 [9:120:1] 75840bt2 [0,-1,0,-4385,89217] 2 [-56:395:1]
75840bu (1 curve)	2	2- 3+ 5- 79-	2- 3+ 5- -1 -3 -3  3 -6
Curve Equation t Generators 75840bu1 [0,-1,0,-21825,1335777] 1 [-121:1480:1]&[-91:1600:1]
75840bv (1 curve)	0	2- 3+ 5- 79-	2- 3+ 5- -2  2 -1  4  1
Curve Equation t 75840bv1 [0,-1,0,1037375,354390625] 1
75840bw (2 curves)	0	2- 3+ 5- 79-	2- 3+ 5- -2 -4  2  4  4
Curve Equation t 75840bw1 [0,-1,0,95,-26303] 2 75840bw2 [0,-1,0,-12705,-535743] 2
75840bx (2 curves)	0	2- 3+ 5- 79-	2- 3+ 5-  4  2  2 -2  4
Curve Equation t 75840bx1 [0,-1,0,3725695,22333373985] 2 75840bx2 [0,-1,0,-99821185,367289450017] 2
75840by (2 curves)	0	2- 3+ 5- 79-	2- 3+ 5-  4 -2  2 -2 -8
Curve Equation t 75840by1 [0,-1,0,-100,-350] 2 75840by2 [0,-1,0,-25,-935] 2
75840bz (2 curves)	0	2- 3+ 5- 79-	2- 3+ 5-  4 -2 -6  6  4
Curve Equation t 75840bz1 [0,-1,0,2815,96417] 2 75840bz2 [0,-1,0,-22465,1072225] 2
75840ca (2 curves)	2	2- 3+ 5- 79-	2- 3+ 5- -4  0 -6  0  0
Curve Equation t Generators 75840ca1 [0,-1,0,-165,117] 2 [-12:15:1]&[-3:24:1] 75840ca2 [0,-1,0,-1745,-27375] 2 [-23:8:1]&[55:200:1]
75840cb (2 curves)	1	2- 3- 5+ 79+	2- 3- 5+  1  3  1  3  2
Curve Equation t Generators 75840cb1 [0,1,0,-1231025441,47771791051359] 1 [692839:576000000:1] 75840cb2 [0,1,0,-145135625441,21281833044211359] 1 [3580724807:2702809497600:4913]
75840cc (1 curve)	1	2- 3- 5+ 79+	2- 3- 5+  2  2 -5  4  1
Curve Equation t Generators 75840cc1 [0,1,0,-7521,253215] 1 [39:-144:1]
75840cd (1 curve)	1	2- 3- 5+ 79+	2- 3- 5+  5 -3  5 -3  2
Curve Equation t Generators 75840cd1 [0,1,0,-144321,-22685121] 1 [975:-27648:1]
75840ce (4 curves)	0	2- 3- 5+ 79-	2- 3- 5+  0  0  2 -2 -4
Curve Equation t 75840ce1 [0,1,0,-7901,267699] 2 75840ce2 [0,1,0,-7921,266255] 4 75840ce3 [0,1,0,-1921,665855] 2 75840ce4 [0,1,0,-14241,-225441] 2
75840cf (4 curves)	0	2- 3- 5+ 79-	2- 3- 5+  0  0 -6 -6  4
Curve Equation t 75840cf1 [0,1,0,-1921,28799] 2 75840cf2 [0,1,0,-7041,-197505] 4 75840cf3 [0,1,0,12159,-1069185] 2 75840cf4 [0,1,0,-108161,-13727361] 2
75840cg (2 curves)	0	2- 3- 5+ 79-	2- 3- 5+  0  2  6  6 -4
Curve Equation t 75840cg1 [0,1,0,-2617041,-1656716241] 2 75840cg2 [0,1,0,-42060161,-105005579265] 2
75840ch (4 curves)	0	2- 3- 5+ 79-	2- 3- 5+  0  4 -6  6  0
Curve Equation t 75840ch1 [0,1,0,-2876,-59010] 2 75840ch2 [0,1,0,-6521,116679] 4 75840ch3 [0,1,0,20479,856479] 2 75840ch4 [0,1,0,-91841,10679295] 2
75840ci (2 curves)	0	2- 3- 5+ 79-	2- 3- 5+  2  2  1  8  5
Curve Equation t 75840ci1 [0,1,0,-209921,264801279] 1 75840ci2 [0,1,0,-296648321,1966478120319] 1
75840cj (4 curves)	0	2- 3- 5+ 79-	2- 3- 5+  4  0  2  2  0
Curve Equation t 75840cj1 [0,1,0,-3180316,-2358828130] 2 75840cj2 [0,1,0,-52008441,-144380312505] 4 75840cj3 [0,1,0,-53133441,-137808737505] 2 75840cj4 [0,1,0,-832133441,-9239545637505] 2
75840ck (4 curves)	0	2- 3- 5+ 79-	2- 3- 5+ -4  4  2 -2  4
Curve Equation t 75840ck1 [0,1,0,6399,6399] 2 75840ck2 [0,1,0,-25601,25599] 4 75840ck3 [0,1,0,-278401,-56449921] 2 75840ck4 [0,1,0,-284801,58241919] 2
75840cl (2 curves)	0	2- 3- 5- 79+	2- 3- 5-  1  3  1 -3 -4
Curve Equation t 75840cl1 [0,1,0,-7585,-7197217] 1 75840cl2 [0,1,0,68255,194066975] 1
75840cm (1 curve)	2	2- 3- 5- 79+	2- 3- 5-  1 -3 -7 -5 -8
Curve Equation t Generators 75840cm1 [0,1,0,10175,240575] 1 [95:1440:1]&[-1:480:1]
75840cn (2 curves)	0	2- 3- 5- 79+	2- 3- 5- -2  6 -5  0 -7
Curve Equation t 75840cn1 [0,1,0,1855,460095] 1 75840cn2 [0,1,0,-397505,96349503] 1
75840co (1 curve)	2	2- 3- 5- 79+	2- 3- 5- -3 -3  1 -7 -6
Curve Equation t Generators 75840co1 [0,1,0,415,13983] 1 [-17:48:1]&[31:240:1]
75840cp (2 curves)	0	2- 3- 5- 79+	2- 3- 5-  4  6  2 -2  4
Curve Equation t 75840cp1 [0,1,0,-1665,-27777] 2 75840cp2 [0,1,0,-26945,-1711425] 2
75840cq (2 curves)	0	2- 3- 5- 79+	2- 3- 5- -4  2  2 -2  8
Curve Equation t 75840cq1 [0,1,0,-100,350] 2 75840cq2 [0,1,0,-25,935] 2
75840cr (2 curves)	1	2- 3- 5- 79-	2- 3- 5- -2  0  2 -8  0
Curve Equation t Generators 75840cr1 [0,1,0,615,-8217] 2 [21:120:1] 75840cr2 [0,1,0,-4385,-89217] 2 [-29:120:1]
75840cs (1 curve)	1	2- 3- 5- 79-	2- 3- 5- -2 -2 -7 -4  1
Curve Equation t Generators 75840cs1 [0,1,0,-225,1695] 1 [23:96:1]
75840ct (2 curves)	1	2- 3- 5- 79-	2- 3- 5- -2  4  2 -4  4
Curve Equation t Generators 75840ct1 [0,1,0,-130313505,-666217541025] 2 [25665:3591000:1] 75840ct2 [0,1,0,-2178313505,-39131343941025] 2 [187495:78382080:1]

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