Cremona's table of elliptic curves

79680 = 2⁶ · 3 · 5 · 83

Class	r	Atkin-Lehner	Eigenvalues
79680a (2 curves)	1	2+ 3+ 5+ 83+	2+ 3+ 5+  0 -2  2  4  6
Curve Equation t Generators 79680a1 [0,-1,0,-3041,65505] 2 [-47:320:1] 79680a2 [0,-1,0,-3841,29185] 2 [-49:312:1]
79680b (2 curves)	1	2+ 3+ 5+ 83+	2+ 3+ 5+  0 -6 -4 -4  2
Curve Equation t Generators 79680b1 [0,-1,0,-6716,-210330] 2 [113355:1148210:729] 79680b2 [0,-1,0,-107561,-13542039] 2 [621:12600:1]
79680c (2 curves)	1	2+ 3+ 5+ 83+	2+ 3+ 5+ -4  4  4 -6  0
Curve Equation t Generators 79680c1 [0,-1,0,-224961,40276161] 2 [-481:6080:1] 79680c2 [0,-1,0,31039,126445761] 2 [241:12160:1]
79680d (2 curves)	0	2+ 3+ 5+ 83-	2+ 3+ 5+  2  0 -2  2 -4
Curve Equation t 79680d1 [0,-1,0,-1921,-145535] 2 79680d2 [0,-1,0,-55041,-4936959] 2
79680e (2 curves)	0	2+ 3+ 5+ 83-	2+ 3+ 5+  2  0 -2  2  8
Curve Equation t 79680e1 [0,-1,0,279,4521] 2 79680e2 [0,-1,0,-3041,58305] 2
79680f (2 curves)	0	2+ 3+ 5+ 83-	2+ 3+ 5+  2 -4  6  6  4
Curve Equation t 79680f1 [0,-1,0,-41,2985] 2 79680f2 [0,-1,0,-3361,75361] 2
79680g (2 curves)	2	2+ 3+ 5- 83+	2+ 3+ 5-  0 -4  4 -6 -8
Curve Equation t Generators 79680g1 [0,-1,0,-265,1225] 2 [-15:40:1]&[-13:48:1] 79680g2 [0,-1,0,735,7425] 2 [-5:60:1]&[-3:72:1]
79680h (4 curves)	1	2+ 3+ 5- 83-	2+ 3+ 5-  0  0  6  6 -4
Curve Equation t Generators 79680h1 [0,-1,0,6761055,-2146776543] 2 [92613:6689800:27] 79680h2 [0,-1,0,-28510625,-17574609375] 4 [-1180147370:-11079134235:238328] 79680h3 [0,-1,0,-260857505,1608714142497] 2 [10009:19840:1] 79680h4 [0,-1,0,-360510625,-2631809009375] 2 [-82068321684008890:-138082978453227795:7308160575416]
79680i (2 curves)	1	2+ 3+ 5- 83-	2+ 3+ 5-  0  2  0 -4 -6
Curve Equation t Generators 79680i1 [0,-1,0,-580,-10850] 2 [47:252:1] 79680i2 [0,-1,0,-11785,-488183] 2 [-63:16:1]
79680j (2 curves)	1	2+ 3+ 5- 83-	2+ 3+ 5-  0  2 -4  4 -2
Curve Equation t Generators 79680j1 [0,-1,0,-305,2097] 2 [7:16:1] 79680j2 [0,-1,0,95,6817] 2 [47:336:1]
79680k (4 curves)	1	2+ 3+ 5- 83-	2+ 3+ 5-  0 -4  2  2  0
Curve Equation t Generators 79680k1 [0,-1,0,1795,41325] 2 [255:6560:27] 79680k2 [0,-1,0,-12785,440817] 4 [129:960:1] 79680k3 [0,-1,0,-66785,-6244383] 2 [399:5520:1] 79680k4 [0,-1,0,-192065,32460225] 2 [265:320:1]
79680l (2 curves)	1	2+ 3+ 5- 83-	2+ 3+ 5-  0 -6 -6  0  2
Curve Equation t Generators 79680l1 [0,-1,0,-13985,590625] 2 [115:700:1] 79680l2 [0,-1,0,-218785,39461665] 2 [121:3840:1]
79680m (2 curves)	1	2+ 3+ 5- 83-	2+ 3+ 5-  4  0 -4 -2  8
Curve Equation t Generators 79680m1 [0,-1,0,-20225,181377] 2 [-71:1120:1] 79680m2 [0,-1,0,79775,1361377] 2 [179:4620:1]
79680n (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+  2 -4  6 -2 -8
Curve Equation t 79680n1 [0,1,0,-3521,80799] 2 79680n2 [0,1,0,-56641,5169695] 2
79680o (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+ -2  0 -2  2 -8
Curve Equation t 79680o1 [0,1,0,279,-4521] 2 79680o2 [0,1,0,-3041,-58305] 2
79680p (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+ -2  4  6  6 -4
Curve Equation t 79680p1 [0,1,0,-41,-2985] 2 79680p2 [0,1,0,-3361,-75361] 2
79680q (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+  4 -2 -2  0  2
Curve Equation t 79680q1 [0,1,0,-4321,-82945] 2 79680q2 [0,1,0,-24321,1385055] 2
79680r (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+ -4  2 -6  4 -2
Curve Equation t 79680r1 [0,1,0,-19822721,-33962637345] 2 79680r2 [0,1,0,-23099521,-21978069025] 2
79680s (2 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+  0  2  4  0  6
Curve Equation t Generators 79680s1 [0,1,0,-2561,-44961] 2 [-23:48:1] 79680s2 [0,1,0,3839,-228001] 2 [617:15408:1]
79680t (2 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+  0 -2 -4 -4  2
Curve Equation t Generators 79680t1 [0,1,0,-2220481,-1270301281] 2 [-6099437:-9360408:6859] 79680t2 [0,1,0,-1220481,-2418901281] 2 [19142919776253:-562287048553448:9380581029]
79680u (2 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+  0  6 -4 -4 -2
Curve Equation t Generators 79680u1 [0,1,0,-6716,210330] 2 [49:36:1] 79680u2 [0,1,0,-107561,13542039] 2 [187:48:1]
79680v (4 curves)	1	2+ 3- 5- 83+	2+ 3- 5-  0  0 -2 -2  4
Curve Equation t Generators 79680v1 [0,1,0,-865,-1537] 2 [61:420:1] 79680v2 [0,1,0,-8865,316863] 4 [2127:9100:27] 79680v3 [0,1,0,-4065,663423] 2 [149235:2552732:3375] 79680v4 [0,1,0,-141665,20475903] 2 [67:3360:1]
79680w (4 curves)	1	2+ 3- 5- 83+	2+ 3- 5-  0  0 -6  6 -4
Curve Equation t Generators 79680w1 [0,1,0,-29025,-1880577] 2 [-99:180:1] 79680w2 [0,1,0,-61025,2977023] 4 [-77:2688:1] 79680w3 [0,1,0,204575,22153343] 2 [338:11403:1] 79680w4 [0,1,0,-838625,295199103] 2 [733:8652:1]
79680x (2 curves)	1	2+ 3- 5- 83+	2+ 3- 5-  0 -2  0 -4  6
Curve Equation t Generators 79680x1 [0,1,0,-580,10850] 2 [5:90:1] 79680x2 [0,1,0,-11785,488183] 2 [71:-120:1]
79680y (4 curves)	1	2+ 3- 5- 83+	2+ 3- 5-  0  4 -2 -6  0
Curve Equation t Generators 79680y1 [0,1,0,-424225,46598975] 2 [890:7125:8] 79680y2 [0,1,0,-5667105,5187767103] 4 [861:30780:1] 79680y3 [0,1,0,-4561185,7274195775] 2 [-445:96000:1] 79680y4 [0,1,0,-90659105,332219984703] 4 [149502:139555:27]
79680z (4 curves)	1	2+ 3- 5- 83+	2+ 3- 5-  0  4  6  2 -8
Curve Equation t Generators 79680z1 [0,1,0,-8305,-294097] 2 [3806187:5749120:35937] 79680z2 [0,1,0,-8385,-288225] 4 [6465:91520:27] 79680z3 [0,1,0,3615,-1034625] 2 [399180:6031025:1728] 79680z4 [0,1,0,-21665,835263] 4 [-119:1320:1]
79680ba (4 curves)	1	2+ 3- 5- 83+	2+ 3- 5-  4 -4 -2  2  0
Curve Equation t Generators 79680ba1 [0,1,0,3615,49023] 2 [179220:3012009:8000] 79680ba2 [0,1,0,-16865,405375] 4 [-550:8925:8] 79680ba3 [0,1,0,-132065,-18233985] 2 [-532714:972315:2744] 79680ba4 [0,1,0,-229345,42178943] 4 [-259:9180:1]
79680bb (2 curves)	0	2+ 3- 5- 83-	2+ 3- 5-  0  4  4 -6  8
Curve Equation t 79680bb1 [0,1,0,-265,-1225] 2 79680bb2 [0,1,0,735,-7425] 2
79680bc (2 curves)	0	2+ 3- 5- 83-	2+ 3- 5- -4 -2  2  0 -6
Curve Equation t 79680bc1 [0,1,0,-1185,-2625] 2 79680bc2 [0,1,0,-13985,-640065] 2
79680bd (2 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+  0  2 -4 -4 -2
Curve Equation t 79680bd1 [0,-1,0,-2220481,1270301281] 2 79680bd2 [0,-1,0,-1220481,2418901281] 2
79680be (2 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+  0 -2  4  0 -6
Curve Equation t 79680be1 [0,-1,0,-2561,44961] 2 79680be2 [0,-1,0,3839,228001] 2
79680bf (4 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+ -4 -4  2  6 -4
Curve Equation t 79680bf1 [0,-1,0,-4876,-160190] 2 79680bf2 [0,-1,0,-83001,-9175815] 4 79680bf3 [0,-1,0,-88001,-8002815] 2 79680bf4 [0,-1,0,-1328001,-588598815] 2
79680bg (2 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+ -2  4  6 -2  8
Curve Equation t Generators 79680bg1 [0,-1,0,-3521,-80799] 2 [1162623:34260096:1331] 79680bg2 [0,-1,0,-56641,-5169695] 2 [3493:205920:1]
79680bh (2 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  4 -2 -6  4  2
Curve Equation t Generators 79680bh1 [0,-1,0,-19822721,33962637345] 2 [14421094016:-586207089635:8365427] 79680bh2 [0,-1,0,-23099521,21978069025] 2 [163749227137060921216:1988070803006985479553:165940685967747761]
79680bi (2 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+ -4  2 -2  0 -2
Curve Equation t Generators 79680bi1 [0,-1,0,-4321,82945] 2 [-72:125:1] 79680bi2 [0,-1,0,-24321,-1385055] 2 [-104:93:1]
79680bj (2 curves)	1	2- 3+ 5- 83+	2- 3+ 5-  4  2  2  0  6
Curve Equation t Generators 79680bj1 [0,-1,0,-1185,2625] 2 [-195:2800:27] 79680bj2 [0,-1,0,-13985,640065] 2 [221:2880:1]
79680bk (4 curves)	2	2- 3+ 5- 83-	2- 3+ 5-  0  0 -2 -2 -4
Curve Equation t Generators 79680bk1 [0,-1,0,-865,1537] 2 [-21:100:1]&[-16:105:1] 79680bk2 [0,-1,0,-8865,-316863] 4 [-53:36:1]&[199:2400:1] 79680bk3 [0,-1,0,-4065,-663423] 2 [427:8676:1]&[1597:63744:1] 79680bk4 [0,-1,0,-141665,-20475903] 2 [512:6399:1]&[13341:147680:27]
79680bl (4 curves)	0	2- 3+ 5- 83-	2- 3+ 5-  0  0 -6  6  4
Curve Equation t 79680bl1 [0,-1,0,-29025,1880577] 2 79680bl2 [0,-1,0,-61025,-2977023] 4 79680bl3 [0,-1,0,204575,-22153343] 2 79680bl4 [0,-1,0,-838625,-295199103] 2
79680bm (4 curves)	0	2- 3+ 5- 83-	2- 3+ 5-  0 -4 -2 -6  0
Curve Equation t 79680bm1 [0,-1,0,-424225,-46598975] 2 79680bm2 [0,-1,0,-5667105,-5187767103] 4 79680bm3 [0,-1,0,-4561185,-7274195775] 4 79680bm4 [0,-1,0,-90659105,-332219984703] 2
79680bn (4 curves)	0	2- 3+ 5- 83-	2- 3+ 5-  0 -4  6  2  8
Curve Equation t 79680bn1 [0,-1,0,-8305,294097] 2 79680bn2 [0,-1,0,-8385,288225] 4 79680bn3 [0,-1,0,3615,1034625] 4 79680bn4 [0,-1,0,-21665,-835263] 2
79680bo (4 curves)	0	2- 3+ 5- 83-	2- 3+ 5- -4  4 -2  2  0
Curve Equation t 79680bo1 [0,-1,0,3615,-49023] 2 79680bo2 [0,-1,0,-16865,-405375] 4 79680bo3 [0,-1,0,-132065,18233985] 4 79680bo4 [0,-1,0,-229345,-42178943] 2
79680bp (2 curves)	0	2- 3+ 5- 83-	2- 3+ 5- -4  6 -2  8 -2
Curve Equation t 79680bp1 [0,-1,0,-345,-2343] 2 79680bp2 [0,-1,0,-545,897] 2
79680bq (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+ -2  0 -2  2  4
Curve Equation t Generators 79680bq1 [0,1,0,-1921,145535] 2 [-1:384:1] 79680bq2 [0,1,0,-55041,4936959] 2 [-33:2592:1]
79680br (2 curves)	0	2- 3- 5+ 83-	2- 3- 5+  0  2  2  4 -6
Curve Equation t 79680br1 [0,1,0,-3041,-65505] 2 79680br2 [0,1,0,-3841,-29185] 2
79680bs (4 curves)	0	2- 3- 5+ 83-	2- 3- 5+  4  4  2  6  4
Curve Equation t 79680bs1 [0,1,0,-4876,160190] 2 79680bs2 [0,1,0,-83001,9175815] 4 79680bs3 [0,1,0,-88001,8002815] 2 79680bs4 [0,1,0,-1328001,588598815] 2
79680bt (2 curves)	0	2- 3- 5+ 83-	2- 3- 5+  4 -4  4 -6  0
Curve Equation t 79680bt1 [0,1,0,-224961,-40276161] 2 79680bt2 [0,1,0,31039,-126445761] 2
79680bu (4 curves)	0	2- 3- 5- 83+	2- 3- 5-  0  0  6  6  4
Curve Equation t 79680bu1 [0,1,0,6761055,2146776543] 2 79680bu2 [0,1,0,-28510625,17574609375] 4 79680bu3 [0,1,0,-260857505,-1608714142497] 2 79680bu4 [0,1,0,-360510625,2631809009375] 2
79680bv (2 curves)	0	2- 3- 5- 83+	2- 3- 5-  0 -2 -4  4  2
Curve Equation t 79680bv1 [0,1,0,-305,-2097] 2 79680bv2 [0,1,0,95,-6817] 2
79680bw (4 curves)	0	2- 3- 5- 83+	2- 3- 5-  0  4  2  2  0
Curve Equation t 79680bw1 [0,1,0,1795,-41325] 2 79680bw2 [0,1,0,-12785,-440817] 4 79680bw3 [0,1,0,-66785,6244383] 2 79680bw4 [0,1,0,-192065,-32460225] 2
79680bx (2 curves)	0	2- 3- 5- 83+	2- 3- 5-  0  6 -6  0 -2
Curve Equation t 79680bx1 [0,1,0,-13985,-590625] 2 79680bx2 [0,1,0,-218785,-39461665] 2
79680by (2 curves)	0	2- 3- 5- 83+	2- 3- 5-  4 -6 -2  8  2
Curve Equation t 79680by1 [0,1,0,-345,2343] 2 79680by2 [0,1,0,-545,-897] 2
79680bz (2 curves)	2	2- 3- 5- 83+	2- 3- 5- -4  0 -4 -2 -8
Curve Equation t Generators 79680bz1 [0,1,0,-20225,-181377] 2 [-59:900:1]&[-134:375:1] 79680bz2 [0,1,0,79775,-1361377] 2 [26:855:1]&[71:2160:1]

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