Cremona's table of elliptic curves

51480 = 2³ · 3² · 5 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
51480a (2 curves)	1	2+ 3+ 5+ 11+ 13+	2+ 3+ 5+ -4 11+ 13+  8 -2
Curve Equation t Generators 51480a1 [0,0,0,-1863,-37638] 2 [78:540:1] 51480a2 [0,0,0,-31563,-2158218] 2 [298:3860:1]
51480b (2 curves)	0	2+ 3+ 5+ 11- 13+	2+ 3+ 5+  0 11- 13+  4 -2
Curve Equation t 51480b1 [0,0,0,-12258,-522207] 2 51480b2 [0,0,0,-10503,-676998] 2
51480c (1 curve)	0	2+ 3+ 5+ 11- 13+	2+ 3+ 5+  1 11- 13+  4  1
Curve Equation t 51480c1 [0,0,0,237,-562] 1
51480d (2 curves)	0	2+ 3+ 5+ 11- 13+	2+ 3+ 5+  2 11- 13+  4  6
Curve Equation t 51480d1 [0,0,0,-8343,-2693142] 2 51480d2 [0,0,0,-345843,-77820642] 2
51480e (2 curves)	0	2+ 3+ 5+ 11- 13+	2+ 3+ 5+ -4 11- 13+  4  6
Curve Equation t 51480e1 [0,0,0,-876922578,9995165544393] 2 51480e2 [0,0,0,-876920823,9995207551722] 2
51480f (2 curves)	0	2+ 3+ 5- 11+ 13+	2+ 3+ 5- -2 11+ 13+  0 -2
Curve Equation t 51480f1 [0,0,0,-12087,-513334] 2 51480f2 [0,0,0,-193587,-32784034] 2
51480g (2 curves)	0	2+ 3+ 5- 11+ 13+	2+ 3+ 5- -2 11+ 13+  2  8
Curve Equation t 51480g1 [0,0,0,2133,19926] 2 51480g2 [0,0,0,-9747,169614] 2
51480h (2 curves)	0	2+ 3+ 5- 11- 13-	2+ 3+ 5-  4 11- 13-  0  6
Curve Equation t 51480h1 [0,0,0,-42,41] 2 51480h2 [0,0,0,153,314] 2
51480i (4 curves)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+  0 11+ 13+  2 -4
Curve Equation t 51480i1 [0,0,0,222,-8687] 2 51480i2 [0,0,0,-5223,-138278] 4 51480i3 [0,0,0,-15123,540862] 2 51480i4 [0,0,0,-82443,-9111242] 2
51480j (1 curve)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+  1 11- 13+ -4 -1
Curve Equation t Generators 51480j1 [0,0,0,-71283,-11022482] 1 [386:4356:1]
51480k (1 curve)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+ -2 11- 13+  1  1
Curve Equation t Generators 51480k1 [0,0,0,-50268,5700692] 1 [214:-2178:1]
51480l (4 curves)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+  4 11- 13+  2 -4
Curve Equation t Generators 51480l1 [0,0,0,-498,453697] 2 [-4:675:1] 51480l2 [0,0,0,-91623,10532122] 4 [239:1512:1] 51480l3 [0,0,0,-180723,-13293218] 2 [4882:81459:8] 51480l4 [0,0,0,-1460523,679376662] 2 [-193:30888:1]
51480m (6 curves)	0	2+ 3- 5+ 11- 13-	2+ 3- 5+  0 11- 13- -2  4
Curve Equation t 51480m1 [0,0,0,-83658,-9313423] 2 51480m2 [0,0,0,-83703,-9302902] 4 51480m3 [0,0,0,-54003,-15997282] 2 51480m4 [0,0,0,-114123,-1935178] 4 51480m5 [0,0,0,452157,-15412642] 2 51480m6 [0,0,0,-1167123,483076622] 2
51480n (4 curves)	1	2+ 3- 5- 11+ 13+	2+ 3- 5-  0 11+ 13+ -2 -4
Curve Equation t Generators 51480n1 [0,0,0,-1362,-19159] 2 [-20:9:1] 51480n2 [0,0,0,-2487,17066] 4 [2:110:1] 51480n3 [0,0,0,9213,131726] 2 [470:10406:1] 51480n4 [0,0,0,-32187,2220806] 2 [110:106:1]
51480o (2 curves)	1	2+ 3- 5- 11+ 13+	2+ 3- 5- -2 11+ 13+  0  2
Curve Equation t Generators 51480o1 [0,0,0,5253,2036486] 2 [7:1440:1] 51480o2 [0,0,0,-212547,36492446] 2 [370:2916:1]
51480p (1 curve)	1	2+ 3- 5- 11+ 13+	2+ 3- 5- -2 11+ 13+ -3 -5
Curve Equation t Generators 51480p1 [0,0,0,-12,-556] 1 [10:18:1]
51480q (2 curves)	1	2+ 3- 5- 11+ 13+	2+ 3- 5- -2 11+ 13+  6  8
Curve Equation t Generators 51480q1 [0,0,0,1189113,-153065734] 2 [787:35640:1] 51480q2 [0,0,0,-4998387,-1253203234] 2 [2662:65610:1]
51480r (1 curve)	1	2+ 3- 5- 11+ 13+	2+ 3- 5-  4 11+ 13+ -3 -7
Curve Equation t Generators 51480r1 [0,0,0,25548,-70794844] 1 [50570:299862:125]
51480s (4 curves)	1	2+ 3- 5- 11+ 13+	2+ 3- 5-  4 11+ 13+  6  4
Curve Equation t Generators 51480s1 [0,0,0,-57927,5366234] 2 [3275:186928:1] 51480s2 [0,0,0,-58107,5331206] 4 [-265:1456:1] 51480s3 [0,0,0,-9507,13972286] 2 [-82390:530998:343] 51480s4 [0,0,0,-109587,-5551666] 2 [-2318:10955:8]
51480t (4 curves)	0	2+ 3- 5- 11+ 13-	2+ 3- 5-  0 11+ 13- -6  4
Curve Equation t 51480t1 [0,0,0,-106122,13292489] 4 51480t2 [0,0,0,-134247,5693114] 4 51480t3 [0,0,0,509253,44431814] 2 51480t4 [0,0,0,-1227747,-519405586] 2
51480u (1 curve)	0	2+ 3- 5- 11+ 13-	2+ 3- 5-  3 11+ 13-  0  1
Curve Equation t 51480u1 [0,0,0,-1810227,937572014] 1
51480v (2 curves)	0	2+ 3- 5- 11- 13+	2+ 3- 5- -2 11- 13+  4 -2
Curve Equation t 51480v1 [0,0,0,-13848267,-241690956874] 2 51480v2 [0,0,0,-672693267,-6667933317874] 2
51480w (2 curves)	0	2+ 3- 5- 11- 13+	2+ 3- 5- -2 11- 13+  6  0
Curve Equation t 51480w1 [0,0,0,393,-21206] 2 51480w2 [0,0,0,-9507,-339986] 2
51480x (1 curve)	0	2+ 3- 5- 11- 13+	2+ 3- 5- -5 11- 13+  3  3
Curve Equation t 51480x1 [0,0,0,-6839427,-6888190754] 1
51480y (1 curve)	1	2+ 3- 5- 11- 13-	2+ 3- 5- -3 11- 13- -3  1
Curve Equation t Generators 51480y1 [0,0,0,-1587,66926] 1 [-10:286:1]
51480z (2 curves)	1	2+ 3- 5- 11- 13-	2+ 3- 5-  4 11- 13- -4  6
Curve Equation t Generators 51480z1 [0,0,0,13173,-722954] 2 [87:1040:1] 51480z2 [0,0,0,-85827,-7237154] 2 [582:11830:1]
51480ba (2 curves)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+  4 11+ 13-  0  6
Curve Equation t Generators 51480ba1 [0,0,0,-378,-1107] 2 [22:35:1] 51480ba2 [0,0,0,1377,-8478] 2 [33:270:1]
51480bb (2 curves)	1	2- 3+ 5+ 11- 13+	2- 3+ 5+ -2 11- 13+  0 -2
Curve Equation t Generators 51480bb1 [0,0,0,-108783,13860018] 2 [169:-550:1] 51480bb2 [0,0,0,-1742283,885168918] 2 [411:15444:1]
51480bc (2 curves)	1	2- 3+ 5+ 11- 13+	2- 3+ 5+ -2 11- 13+ -2  8
Curve Equation t Generators 51480bc1 [0,0,0,237,-738] 2 [6:30:1] 51480bc2 [0,0,0,-1083,-6282] 2 [94:850:1]
51480bd (2 curves)	1	2- 3+ 5- 11+ 13+	2- 3+ 5-  0 11+ 13+ -4 -2
Curve Equation t Generators 51480bd1 [0,0,0,-1362,19341] 2 [-18:195:1] 51480bd2 [0,0,0,-1167,25074] 2 [13:-110:1]
51480be (1 curve)	1	2- 3+ 5- 11+ 13+	2- 3+ 5-  1 11+ 13+ -4  1
Curve Equation t Generators 51480be1 [0,0,0,2133,15174] 1 [78:810:1]
51480bf (2 curves)	1	2- 3+ 5- 11+ 13+	2- 3+ 5-  2 11+ 13+ -4  6
Curve Equation t Generators 51480bf1 [0,0,0,-927,99746] 2 [-23:330:1] 51480bf2 [0,0,0,-38427,2882246] 2 [67:780:1]
51480bg (2 curves)	1	2- 3+ 5- 11+ 13+	2- 3+ 5- -4 11+ 13+ -4  6
Curve Equation t Generators 51480bg1 [0,0,0,-97435842,-370191316459] 2 [57460091789259082679312045695450:6402562812273953985940558667831977:3074514330767488295270795063] 51480bg2 [0,0,0,-97435647,-370192872286] 2 [2348170736653645:613560051756747978:33666977989]
51480bh (2 curves)	2	2- 3+ 5- 11- 13+	2- 3+ 5- -4 11- 13+ -8 -2
Curve Equation t Generators 51480bh1 [0,0,0,-207,1394] 2 [-7:50:1]&[-5:48:1] 51480bh2 [0,0,0,-3507,79934] 2 [-5:312:1]&[50:172:1]
51480bi (4 curves)	1	2- 3- 5+ 11+ 13+	2- 3- 5+  0 11+ 13+  2  4
Curve Equation t Generators 51480bi1 [0,0,0,-63738,-6192963] 2 [294:693:1] 51480bi2 [0,0,0,-69183,-5072382] 4 [-147:1386:1] 51480bi3 [0,0,0,178317,-33138882] 2 [603:17136:1] 51480bi4 [0,0,0,-403803,94711302] 2 [867:19908:1]
51480bj (2 curves)	1	2- 3- 5+ 11+ 13+	2- 3- 5+  2 11+ 13+  6  4
Curve Equation t Generators 51480bj1 [0,0,0,-9653583,11582916082] 2 [821:64890:1] 51480bj2 [0,0,0,-154599483,739878085222] 2 [2536317:-10919236:343]
51480bk (2 curves)	1	2- 3- 5+ 11+ 13+	2- 3- 5+ -2 11+ 13+  0  2
Curve Equation t Generators 51480bk1 [0,0,0,-14403,-683602] 2 [259:3600:1] 51480bk2 [0,0,0,-232203,-43067482] 2 [622:7290:1]
51480bl (2 curves)	0	2- 3- 5+ 11- 13+	2- 3- 5+  0 11- 13+  0  2
Curve Equation t 51480bl1 [0,0,0,-164883,25831582] 2 51480bl2 [0,0,0,-2639883,1650916582] 2
51480bm (4 curves)	0	2- 3- 5+ 11- 13+	2- 3- 5+  0 11- 13+  2  4
Curve Equation t 51480bm1 [0,0,0,-543,-78302] 2 51480bm2 [0,0,0,-30963,-2079938] 4 51480bm3 [0,0,0,-54363,1490902] 2 51480bm4 [0,0,0,-494283,-133755482] 2
51480bn (4 curves)	0	2- 3- 5+ 11- 13+	2- 3- 5+  0 11- 13+ -2  0
Curve Equation t 51480bn1 [0,0,0,252942,-343082243] 2 51480bn2 [0,0,0,-6075183,-5490379118] 4 51480bn3 [0,0,0,-17482683,21164385382] 2 51480bn4 [0,0,0,-95917683,-361572143618] 2
51480bo (1 curve)	0	2- 3- 5+ 11- 13+	2- 3- 5+  0 11- 13+ -7 -5
Curve Equation t 51480bo1 [0,0,0,7430172,-22618363628] 1
51480bp (2 curves)	2	2- 3- 5+ 11- 13+	2- 3- 5+ -2 11- 13+ -2  4
Curve Equation t Generators 51480bp1 [0,0,0,-543,8642] 2 [1:-90:1]&[-19:110:1] 51480bp2 [0,0,0,-10443,410582] 2 [-98:702:1]&[19:468:1]
51480bq (1 curve)	0	2- 3- 5+ 11- 13+	2- 3- 5+  4 11- 13+  1 -1
Curve Equation t 51480bq1 [0,0,0,-1908,99252] 1
51480br (2 curves)	0	2- 3- 5- 11+ 13+	2- 3- 5- -4 11+ 13+  2  0
Curve Equation t 51480br1 [0,0,0,-147,-4066] 2 51480br2 [0,0,0,-4827,-128554] 2
51480bs (4 curves)	1	2- 3- 5- 11+ 13-	2- 3- 5-  0 11+ 13- -2  8
Curve Equation t Generators 51480bs1 [0,0,0,-1002,4669] 4 [110:1107:1] 51480bs2 [0,0,0,-8607,-304094] 4 [-55:54:1] 51480bs3 [0,0,0,-1587,-785666] 2 [179:2160:1] 51480bs4 [0,0,0,-137307,-19583354] 2 [515:6804:1]
51480bt (4 curves)	0	2- 3- 5- 11- 13-	2- 3- 5-  4 11- 13- -6 -4
Curve Equation t 51480bt1 [0,0,0,1473,-75454] 4 51480bt2 [0,0,0,-20307,-1020706] 4 51480bt3 [0,0,0,-71787,6258566] 2 51480bt4 [0,0,0,-317307,-68796106] 2
51480bu (4 curves)	0	2- 3- 5- 11- 13-	2- 3- 5- -4 11- 13-  2  4
Curve Equation t 51480bu1 [0,0,0,-822207,-390626494] 4 51480bu2 [0,0,0,-14434707,-21106128994] 4 51480bu3 [0,0,0,-15721707,-17118745594] 2 51480bu4 [0,0,0,-230947707,-1350885672394] 2
51480bv (4 curves)	2	2- 3- 5- 11- 13-	2- 3- 5- -4 11- 13- -6 -4
Curve Equation t Generators 51480bv1 [0,0,0,-887727,346303154] 4 [-526:-160875:8]&[-797:23400:1] 51480bv2 [0,0,0,-14500227,21252380654] 4 [2363:-13520:1]&[-965:185328:1] 51480bv3 [0,0,0,-14797227,20336373254] 2 [1678:15210:1]&[3338:90200:1] 51480bv4 [0,0,0,-232003227,1360157348054] 2 [8798:650:1]&[9578:129220:1]

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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