Cremona's table of elliptic curves

51120 = 2⁴ · 3² · 5 · 71

Class	r	Atkin-Lehner	Eigenvalues
51120a (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+  1 -2  1 -2 -1
Curve Equation t 51120a1 [0,0,0,-151803,5921802] 1
51120b (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+  3 -6 -3  6  7
Curve Equation t 51120b1 [0,0,0,-1308,19132] 1
51120c (4 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+ -4  4 -2 -6 -4
Curve Equation t Generators 51120c1 [0,0,0,-15978,-777377] 2 [213301:1173816:1331] 51120c2 [0,0,0,-16023,-772778] 4 [509:11088:1] 51120c3 [0,0,0,-3243,-1971542] 2 [161:1296:1] 51120c4 [0,0,0,-29523,720322] 4 [-126:1562:1]
51120d (2 curves)	1	2+ 3- 5- 71+	2+ 3- 5-  0  0  0  6  4
Curve Equation t Generators 51120d1 [0,0,0,-4287,-126434] 2 [122:1080:1] 51120d2 [0,0,0,-71787,-7402934] 2 [422:6120:1]
51120e (1 curve)	1	2+ 3- 5- 71+	2+ 3- 5- -1  6  1  4 -7
Curve Equation t Generators 51120e1 [0,0,0,-387,-1566] 1 [-17:10:1]
51120f (2 curves)	1	2+ 3- 5- 71+	2+ 3- 5-  2  0  0  0  4
Curve Equation t Generators 51120f1 [0,0,0,-1002,9691] 2 [12845:53892:343] 51120f2 [0,0,0,2193,58894] 2 [125:1512:1]
51120g (2 curves)	1	2+ 3- 5- 71+	2+ 3- 5-  2  0  4  0 -4
Curve Equation t Generators 51120g1 [0,0,0,-3162,-67309] 2 [115:1044:1] 51120g2 [0,0,0,33,-197026] 2 [85:648:1]
51120h (2 curves)	1	2+ 3- 5- 71+	2+ 3- 5-  2  0  4  4 -4
Curve Equation t Generators 51120h1 [0,0,0,-234162,43613559] 2 [423:4500:1] 51120h2 [0,0,0,-230967,44861526] 2 [-183:9000:1]
51120i (2 curves)	1	2+ 3- 5- 71+	2+ 3- 5-  2  2 -2 -4 -4
Curve Equation t Generators 51120i1 [0,0,0,-57747,11206114] 2 [-157:4050:1] 51120i2 [0,0,0,-1182747,494731114] 2 [543:3550:1]
51120j (2 curves)	1	2+ 3- 5- 71+	2+ 3- 5- -2  2 -2  0 -4
Curve Equation t Generators 51120j1 [0,0,0,-867,-18574] 2 [91:810:1] 51120j2 [0,0,0,-17067,-857734] 2 [151:90:1]
51120k (2 curves)	0	2+ 3- 5- 71-	2+ 3- 5-  2  4  4  0  4
Curve Equation t 51120k1 [0,0,0,153,486] 2 51120k2 [0,0,0,-747,4266] 2
51120l (2 curves)	0	2+ 3- 5- 71-	2+ 3- 5-  2  4 -6  0  8
Curve Equation t 51120l1 [0,0,0,-22287,-1322066] 2 51120l2 [0,0,0,-359787,-83064566] 2
51120m (2 curves)	0	2+ 3- 5- 71-	2+ 3- 5-  4  0 -4 -6  4
Curve Equation t 51120m1 [0,0,0,33,-2626] 2 51120m2 [0,0,0,-2667,-51766] 2
51120n (2 curves)	2	2+ 3- 5- 71-	2+ 3- 5- -4 -2  0 -2  0
Curve Equation t Generators 51120n1 [0,0,0,-387,9234] 2 [3:-90:1]&[-15:108:1] 51120n2 [0,0,0,-9387,349434] 2 [-17:710:1]&[58:10:1]
51120o (2 curves)	0	2+ 3- 5- 71-	2+ 3- 5- -4  6 -2 -2 -4
Curve Equation t 51120o1 [0,0,0,-28947,-1942814] 2 51120o2 [0,0,0,-466347,-122577734] 2
51120p (2 curves)	0	2- 3+ 5+ 71+	2- 3+ 5+  0  0 -6  0  4
Curve Equation t 51120p1 [0,0,0,-254643,-46988942] 2 51120p2 [0,0,0,-746163,189038962] 2
51120q (2 curves)	1	2- 3+ 5+ 71-	2- 3+ 5+ -4  4  2  8  4
Curve Equation t Generators 51120q1 [0,0,0,-483,3298] 2 [23:66:1] 51120q2 [0,0,0,-2403,-42398] 2 [-31:48:1]
51120r (2 curves)	1	2- 3+ 5- 71+	2- 3+ 5- -4 -4  2 -8  4
Curve Equation t Generators 51120r1 [0,0,0,-4347,-89046] 2 [-26:80:1] 51120r2 [0,0,0,-21627,1144746] 2 [-33:1350:1]
51120s (2 curves)	0	2- 3+ 5- 71-	2- 3+ 5-  0  0 -6  0  4
Curve Equation t 51120s1 [0,0,0,-2291787,1268701434] 2 51120s2 [0,0,0,-6715467,-5104051974] 2
51120t (4 curves)	1	2- 3- 5+ 71+	2- 3- 5+  0  0 -6  6  4
Curve Equation t Generators 51120t1 [0,0,0,35277,-47217422] 2 [41605:147744:125] 51120t2 [0,0,0,-1764723,-876297422] 4 [-4546947:-10271570:6859] 51120t3 [0,0,0,-4320723,2240488978] 2 [3329:157320:1] 51120t4 [0,0,0,-28008723,-57054203822] 2 [-5218959477511383:236383532159270:1706918318351]
51120u (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+  1  0  5 -6  1
Curve Equation t Generators 51120u1 [0,0,0,672,-4048] 1 [482:4041:8] 51120u2 [0,0,0,-13728,-629008] 1 [242178598:1218365541:1643032]
51120v (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+  1  2 -1  2  7
Curve Equation t Generators 51120v1 [0,0,0,6432,174508] 1 [-18:230:1]
51120w (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -2  2 -6  0 -4
Curve Equation t Generators 51120w1 [0,0,0,1437,-1438] 2 [31:-270:1] 51120w2 [0,0,0,-5763,-11518] 2 [-73:142:1]
51120x (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -2 -6  2  0 -4
Curve Equation t Generators 51120x1 [0,0,0,-128836441443,-17805298803910558] 2 [1604061990696508720990543733738739394811362989220636777875210419338291280526369419:1044482281056792213406897597673522123328123361537423159914984228025540575309715223430:2430199271963588239647333695678949974290369165662654173192641691744646889829] 51120x2 [0,0,0,-2061571724643,-1139320172886337438] 2 [9771876659710741149720505208483604993544869015157989259629418668777301651698824263403798918442874501453685196962390248368492231175077919053660950160097150157890729:-10169737385099013108349400670160645876175891081709640527572513252333964913436377511707994204578915248772750221869048134070937892980228774073893814976307831750031380702:4373931580421672417975530308578428389906331745293771197132403561142757587640188696285035660896656009723019485525768905841291401633259606048164289437867107751]
51120y (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -2 -6  4  8 -4
Curve Equation t Generators 51120y1 [0,0,0,-706683,-382327382] 2 [15879017:3415984650:343] 51120y2 [0,0,0,-13303803,-18670826198] 2 [34928150621:7495686911250:753571]
51120z (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+  3 -6 -3  0  1
Curve Equation t Generators 51120z1 [0,0,0,-10083,387682] 1 [81:-320:1]
51120ba (4 curves)	1	2- 3- 5+ 71+	2- 3- 5+  4  0  2 -6 -4
Curve Equation t Generators 51120ba1 [0,0,0,3597,94898] 2 [31:486:1] 51120ba2 [0,0,0,-22323,929522] 4 [127:378:1] 51120ba3 [0,0,0,-130323,-17365678] 2 [-239:360:1] 51120ba4 [0,0,0,-329043,72640658] 2 [115129:37638:343]
51120bb (4 curves)	1	2- 3- 5+ 71+	2- 3- 5+  4  0 -2  2 -4
Curve Equation t Generators 51120bb1 [0,0,0,-74883,8574082] 2 [-169:4050:1] 51120bb2 [0,0,0,-1226883,523057282] 4 [1367:37422:1] 51120bb3 [0,0,0,-1255683,497212162] 2 [936579:178441318:9261] 51120bb4 [0,0,0,-19630083,33475827202] 2 [946001:6087906:343]
51120bc (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+  4 -4 -4  8 -8
Curve Equation t Generators 51120bc1 [0,0,0,-228,-1037] 2 [-755:1368:125] 51120bc2 [0,0,0,-3423,-77078] 2 [-2161560:142709:64000]
51120bd (4 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -4  4  2  2  4
Curve Equation t Generators 51120bd1 [0,0,0,717,52018] 2 [-7:216:1] 51120bd2 [0,0,0,-17283,833218] 4 [-9:994:1] 51120bd3 [0,0,0,-49683,-3203822] 2 [263:1386:1] 51120bd4 [0,0,0,-272883,54867058] 2 [351:1526:1]
51120be (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+ -5  2 -3  6 -1
Curve Equation t Generators 51120be1 [0,0,0,-498288,-135434212] 1 [816158:37809682:343]
51120bf (4 curves)	2	2- 3- 5+ 71-	2- 3- 5+  0 -4  2 -2 -4
Curve Equation t Generators 51120bf1 [0,0,0,-29523,-1948142] 2 [-97:54:1]&[2063:93366:1] 51120bf2 [0,0,0,-41043,-286958] 4 [-169:1350:1]&[-78:1562:1] 51120bf3 [0,0,0,163437,-2290862] 2 [89:3600:1]&[521:14976:1] 51120bf4 [0,0,0,-429843,108032722] 2 [-738:4828:1]&[-241:14058:1]
51120bg (1 curve)	0	2- 3- 5+ 71-	2- 3- 5+ -1 -2 -1  2  1
Curve Equation t 51120bg1 [0,0,0,-3648,94768] 1
51120bh (1 curve)	0	2- 3- 5+ 71-	2- 3- 5+ -1 -2 -1  2  7
Curve Equation t 51120bh1 [0,0,0,-3963,-82262] 1
51120bi (2 curves)	2	2- 3- 5+ 71-	2- 3- 5+ -3  2 -1 -8  5
Curve Equation t Generators 51120bi1 [0,0,0,-159123,21060178] 1 [-321:6250:1]&[-39:5216:1] 51120bi2 [0,0,0,-26115123,-51367233422] 1 [6369:201640:1]&[-23598:355:8]
51120bj (1 curve)	2	2- 3- 5+ 71-	2- 3- 5+ -3 -4 -1 -2 -1
Curve Equation t Generators 51120bj1 [0,0,0,-48,412] 1 [-6:22:1]&[2:-18:1]
51120bk (2 curves)	0	2- 3- 5- 71+	2- 3- 5-  2  0 -6  4  0
Curve Equation t 51120bk1 [0,0,0,-57387,-5357734] 2 51120bk2 [0,0,0,-921387,-340416934] 2
51120bl (2 curves)	0	2- 3- 5- 71+	2- 3- 5-  2 -2  2 -4  4
Curve Equation t 51120bl1 [0,0,0,9573,942154] 2 51120bl2 [0,0,0,-105627,11747914] 2
51120bm (4 curves)	0	2- 3- 5- 71+	2- 3- 5- -2  6  2  0  4
Curve Equation t 51120bm1 [0,0,0,-349707,79762106] 2 51120bm2 [0,0,0,-5598507,5098664666] 2 51120bm3 [0,0,0,641733,401536874] 2 51120bm4 [0,0,0,-5838267,4638160874] 2
51120bn (1 curve)	1	2- 3- 5- 71-	2- 3- 5-  1 -2 -1  4  1
Curve Equation t Generators 51120bn1 [0,0,0,-59907,5499394] 1 [-255:2048:1]
51120bo (2 curves)	1	2- 3- 5- 71-	2- 3- 5-  2  0  0 -4 -4
Curve Equation t Generators 51120bo1 [0,0,0,-1947,-45686] 2 [93:760:1] 51120bo2 [0,0,0,-34347,-2449766] 2 [255:2318:1]
51120bp (2 curves)	1	2- 3- 5- 71-	2- 3- 5-  2  2  0  0  4
Curve Equation t Generators 51120bp1 [0,0,0,-13107,1463794] 2 [-97:1350:1] 51120bp2 [0,0,0,-289587,59911666] 2 [297:320:1]
51120bq (2 curves)	1	2- 3- 5- 71-	2- 3- 5-  2 -4  4  4 -4
Curve Equation t Generators 51120bq1 [0,0,0,-8427,323354] 2 [53:-160:1] 51120bq2 [0,0,0,-138027,19737434] 2 [-425:1278:1]
51120br (4 curves)	1	2- 3- 5- 71-	2- 3- 5- -2  0 -4  0  4
Curve Equation t Generators 51120br1 [0,0,0,-1725627,-3029106454] 2 [721945:17701578:343] 51120br2 [0,0,0,-43716027,-111020017174] 2 [11478425:-2055225782:343] 51120br3 [0,0,0,-221183787,-1266133382566] 2 [18873505:4244940594:343] 51120br4 [0,0,0,-3538943787,-81032382854566] 2 [30486892689715:2791855200159542:420189749]
51120bs (2 curves)	1	2- 3- 5- 71-	2- 3- 5- -2 -2 -4  4  4
Curve Equation t Generators 51120bs1 [0,0,0,2733,-180974] 2 [57:400:1] 51120bs2 [0,0,0,-36147,-2412686] 2 [-127:360:1]
51120bt (2 curves)	1	2- 3- 5- 71-	2- 3- 5-  4 -6 -6  6  4
Curve Equation t Generators 51120bt1 [0,0,0,-1227,26746] 2 [5:144:1] 51120bt2 [0,0,0,-22827,1327066] 2 [15:994:1]

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