Modular curve low-degree point search results

Results (1-50 of 632 matches)

 

Label	Name	Genus	Degree	Isolated	CM	Elliptic curve	Residue field	$\Q(j)$	$j$-invariant	$j$-height
28.12.0.b.1		$0$	$1$	?			\(\Q\)	\(\Q\)		$0.000$
28.12.0.b.1		$0$	$1$			56.a3	\(\Q\)	\(\Q\)	$\tfrac{740772}{49} = 2^{2} \cdot 3^{3} \cdot 7^{-2} \cdot 19^{3}$	$13.515$
28.12.0.b.1		$0$	$1$			21.a5	\(\Q\)	\(\Q\)	$\tfrac{7189057}{3969} = 3^{-4} \cdot 7^{-2} \cdot 193^{3}$	$15.788$
28.12.0.b.1		$0$	$1$			616.c2	\(\Q\)	\(\Q\)	$\tfrac{12869712}{5929} = 2^{4} \cdot 3^{3} \cdot 7^{-2} \cdot 11^{-2} \cdot 31^{3}$	$16.370$
28.12.0.b.1		$0$	$1$			161.a2	\(\Q\)	\(\Q\)	$\tfrac{72511713}{25921} = 3^{3} \cdot 7^{-2} \cdot 23^{-2} \cdot 139^{3}$	$18.099$
28.12.0.b.1		$0$	$1$			70.a3	\(\Q\)	\(\Q\)	$\tfrac{611960049}{122500} = 2^{-2} \cdot 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 283^{3}$	$20.232$
28.12.0.b.1		$0$	$1$			1624.b2	\(\Q\)	\(\Q\)	$\tfrac{8597884752}{41209} = 2^{4} \cdot 3^{3} \cdot 7^{-2} \cdot 29^{-2} \cdot 271^{3}$	$22.875$
28.12.0.b.1		$0$	$1$			6216.n2	\(\Q\)	\(\Q\)	$\tfrac{22298697808}{5433561} = 2^{4} \cdot 3^{-4} \cdot 7^{-2} \cdot 37^{-2} \cdot 1117^{3}$	$23.828$
28.12.0.b.1		$0$	$1$			7224.a2	\(\Q\)	\(\Q\)	$\tfrac{65168050768}{7338681} = 2^{4} \cdot 3^{-4} \cdot 7^{-2} \cdot 43^{-2} \cdot 1597^{3}$	$24.900$
28.12.0.b.1		$0$	$1$			42.a4	\(\Q\)	\(\Q\)	$\tfrac{65597103937}{63504} = 2^{-4} \cdot 3^{-4} \cdot 7^{-2} \cdot 37^{3} \cdot 109^{3}$	$24.907$
28.12.0.b.1		$0$	$1$			994.g2	\(\Q\)	\(\Q\)	$\tfrac{96892315857}{3952144} = 2^{-4} \cdot 3^{3} \cdot 7^{-2} \cdot 71^{-2} \cdot 1531^{3}$	$25.297$
28.12.0.b.1		$0$	$1$			1659.a2	\(\Q\)	\(\Q\)	$\tfrac{143301984337}{24770529} = 3^{-4} \cdot 7^{-2} \cdot 79^{-2} \cdot 5233^{3}$	$25.688$
28.12.0.b.1		$0$	$1$			14840.e2	\(\Q\)	\(\Q\)	$\tfrac{150089296464}{86025625} = 2^{4} \cdot 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 19^{3} \cdot 37^{3} \cdot 53^{-2}$	$25.734$
28.12.0.b.1		$0$	$1$			9240.a3	\(\Q\)	\(\Q\)	$\tfrac{939083699236}{300155625} = 2^{2} \cdot 3^{-4} \cdot 5^{-4} \cdot 7^{-2} \cdot 11^{-2} \cdot 31^{3} \cdot 199^{3}$	$27.568$
28.12.0.b.1		$0$	$1$			11256.e2	\(\Q\)	\(\Q\)	$\tfrac{1217013440848}{17816841} = 2^{4} \cdot 3^{-4} \cdot 7^{-2} \cdot 19^{3} \cdot 67^{-2} \cdot 223^{3}$	$27.827$
28.12.0.b.1		$0$	$1$			1848.l3	\(\Q\)	\(\Q\)	$\tfrac{1478729816932}{38900169} = 2^{2} \cdot 3^{-8} \cdot 7^{-2} \cdot 11^{-2} \cdot 7177^{3}$	$28.022$
28.12.0.b.1		$0$	$1$			5334.f2	\(\Q\)	\(\Q\)	$\tfrac{1770243636673}{1024256016} = 2^{-4} \cdot 3^{-4} \cdot 7^{-2} \cdot 127^{-2} \cdot 12097^{3}$	$28.202$
28.12.0.b.1		$0$	$1$			791.a2	\(\Q\)	\(\Q\)	$\tfrac{2027646957393}{625681} = 3^{3} \cdot 7^{-2} \cdot 113^{-2} \cdot 4219^{3}$	$28.338$
28.12.0.b.1		$0$	$1$			231.a2	\(\Q\)	\(\Q\)	$\tfrac{2533811507137}{58110129} = 3^{-4} \cdot 7^{-2} \cdot 11^{-4} \cdot 13633^{3}$	$28.561$
28.12.0.b.1		$0$	$1$			154.c3	\(\Q\)	\(\Q\)	$\tfrac{3750606459153}{45914176} = 2^{-6} \cdot 3^{3} \cdot 7^{-2} \cdot 11^{-4} \cdot 5179^{3}$	$28.953$
28.12.0.b.1		$0$	$1$			4795.a2	\(\Q\)	\(\Q\)	$\tfrac{4072238098209}{574800625} = 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 137^{-2} \cdot 5323^{3}$	$29.035$
28.12.0.b.1		$0$	$1$			3171.a2	\(\Q\)	\(\Q\)	$\tfrac{10350255164257}{90497169} = 3^{-4} \cdot 7^{-2} \cdot 19^{3} \cdot 31^{3} \cdot 37^{3} \cdot 151^{-2}$	$29.968$
28.12.0.b.1		$0$	$1$			18312.d2	\(\Q\)	\(\Q\)	$\tfrac{14213361750352}{3819610809} = 2^{4} \cdot 3^{-8} \cdot 7^{-2} \cdot 109^{-2} \cdot 9613^{3}$	$30.285$
28.12.0.b.1		$0$	$1$			29960.e2	\(\Q\)	\(\Q\)	$\tfrac{19871203515984}{350625625} = 2^{4} \cdot 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 107^{-2} \cdot 3583^{3}$	$30.620$
28.12.0.b.1		$0$	$1$			4053.e2	\(\Q\)	\(\Q\)	$\tfrac{22370941181233}{11975143761} = 3^{-8} \cdot 7^{-2} \cdot 19^{3} \cdot 193^{-2} \cdot 1483^{3}$	$30.739$
28.12.0.b.1		$0$	$1$			1001.b3	\(\Q\)	\(\Q\)	$\tfrac{26444947540257}{169338169} = 3^{3} \cdot 7^{-2} \cdot 11^{-2} \cdot 13^{-4} \cdot 9931^{3}$	$30.906$
28.12.0.b.1		$0$	$1$			385.b3	\(\Q\)	\(\Q\)	$\tfrac{29220958012401}{3705625} = 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 11^{-2} \cdot 10267^{3}$	$31.006$
28.12.0.b.1		$0$	$1$			6685.b2	\(\Q\)	\(\Q\)	$\tfrac{38208055160241}{1117230625} = 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 103^{3} \cdot 109^{3} \cdot 191^{-2}$	$31.274$
28.12.0.b.1		$0$	$1$			17941.c2	\(\Q\)	\(\Q\)	$\tfrac{67603180595553}{38947417201} = 3^{3} \cdot 7^{-2} \cdot 11^{-4} \cdot 37^{3} \cdot 233^{-2} \cdot 367^{3}$	$31.845$
28.12.0.b.1		$0$	$1$			42504.b3	\(\Q\)	\(\Q\)	$\tfrac{72211084765348}{30740258241} = 2^{2} \cdot 3^{-4} \cdot 7^{-2} \cdot 11^{-4} \cdot 23^{-2} \cdot 37^{3} \cdot 709^{3}$	$31.911$
28.12.0.b.1		$0$	$1$			16730.i2	\(\Q\)	\(\Q\)	$\tfrac{96835368764961}{27989290000} = 2^{-4} \cdot 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 239^{-2} \cdot 15307^{3}$	$32.204$
28.12.0.b.1		$0$	$1$			91784.c2	\(\Q\)	\(\Q\)	$\tfrac{106535451100752}{15927197209} = 2^{4} \cdot 3^{3} \cdot 7^{-2} \cdot 11^{-4} \cdot 149^{-2} \cdot 6271^{3}$	$32.299$
28.12.0.b.1		$0$	$1$			136920.m2	\(\Q\)	\(\Q\)	$\tfrac{133234578001744}{65907725625} = 2^{4} \cdot 3^{-4} \cdot 5^{-4} \cdot 7^{-2} \cdot 163^{-2} \cdot 20269^{3}$	$32.523$
28.12.0.b.1		$0$	$1$			19320.y3	\(\Q\)	\(\Q\)	$\tfrac{134555337776164}{1312250625} = 2^{2} \cdot 3^{-4} \cdot 5^{-4} \cdot 7^{-2} \cdot 19^{3} \cdot 23^{-2} \cdot 1699^{3}$	$32.533$
28.12.0.b.1		$0$	$1$			210.e6	\(\Q\)	\(\Q\)	$\tfrac{135487869158881}{51438240000} = 2^{-8} \cdot 3^{-8} \cdot 5^{-4} \cdot 7^{-2} \cdot 51361^{3}$	$32.540$
28.12.0.b.1		$0$	$1$			25571.a2	\(\Q\)	\(\Q\)	$\tfrac{216356596055937}{110505050929} = 3^{3} \cdot 7^{-2} \cdot 13^{-4} \cdot 281^{-2} \cdot 20011^{3}$	$33.008$
28.12.0.b.1		$0$	$1$			3682.c2	\(\Q\)	\(\Q\)	$\tfrac{305868680511633}{867655936} = 2^{-8} \cdot 3^{3} \cdot 7^{-2} \cdot 37^{3} \cdot 263^{-2} \cdot 607^{3}$	$33.354$
28.12.0.b.1		$0$	$1$			63336.d3	\(\Q\)	\(\Q\)	$\tfrac{321971463944932}{95334590169} = 2^{2} \cdot 3^{-4} \cdot 7^{-2} \cdot 13^{-4} \cdot 29^{-2} \cdot 43177^{3}$	$33.405$
28.12.0.b.1		$0$	$1$			33495.g2	\(\Q\)	\(\Q\)	$\tfrac{448768940946481}{252430880625} = 3^{-4} \cdot 5^{-4} \cdot 7^{-2} \cdot 11^{-2} \cdot 29^{-2} \cdot 76561^{3}$	$33.738$
28.12.0.b.1		$0$	$1$			50120.c2	\(\Q\)	\(\Q\)	$\tfrac{492559308557136}{981255625} = 2^{4} \cdot 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 31^{3} \cdot 179^{-2} \cdot 337^{3}$	$33.831$
28.12.0.b.1		$0$	$1$			24360.r3	\(\Q\)	\(\Q\)	$\tfrac{570550302376996}{2086205625} = 2^{2} \cdot 3^{-4} \cdot 5^{-4} \cdot 7^{-2} \cdot 29^{-2} \cdot 52249^{3}$	$33.978$
28.12.0.b.1		$0$	$1$			13398.be2	\(\Q\)	\(\Q\)	$\tfrac{627947704331137}{103395688704} = 2^{-8} \cdot 3^{-4} \cdot 7^{-2} \cdot 11^{-2} \cdot 19^{3} \cdot 29^{-2} \cdot 4507^{3}$	$34.073$
28.12.0.b.1		$0$	$1$			143416.b2	\(\Q\)	\(\Q\)	$\tfrac{633146259432528}{54312768601} = 2^{4} \cdot 3^{3} \cdot 7^{-2} \cdot 13^{-4} \cdot 37^{3} \cdot 197^{-2} \cdot 307^{3}$	$34.082$
28.12.0.b.1		$0$	$1$			35385.f2	\(\Q\)	\(\Q\)	$\tfrac{690080604747409}{281722100625} = 3^{-4} \cdot 5^{-4} \cdot 7^{-2} \cdot 19^{3} \cdot 337^{-2} \cdot 4651^{3}$	$34.168$
28.12.0.b.1		$0$	$1$			177240.i2	\(\Q\)	\(\Q\)	$\tfrac{893359210685776}{110439905625} = 2^{4} \cdot 3^{-4} \cdot 5^{-4} \cdot 7^{-2} \cdot 37^{3} \cdot 211^{-2} \cdot 1033^{3}$	$34.426$
28.12.0.b.1		$0$	$1$			113960.i3	\(\Q\)	\(\Q\)	$\tfrac{1173190324016484}{613833075625} = 2^{2} \cdot 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 11^{-4} \cdot 37^{-2} \cdot 22147^{3}$	$34.699$
28.12.0.b.1		$0$	$1$			7854.l3	\(\Q\)	\(\Q\)	$\tfrac{1180831643443873}{160443506916} = 2^{-2} \cdot 3^{-4} \cdot 7^{-2} \cdot 11^{-2} \cdot 17^{-4} \cdot 19^{3} \cdot 5563^{3}$	$34.705$
28.12.0.b.1		$0$	$1$			462.g3	\(\Q\)	\(\Q\)	$\tfrac{1763535241378513}{4612311396} = 2^{-2} \cdot 3^{-4} \cdot 7^{-6} \cdot 11^{-2} \cdot 120817^{3}$	$35.106$
28.12.0.b.1		$0$	$1$			2513.a2	\(\Q\)	\(\Q\)	$\tfrac{1878761143379457}{15162720769} = 3^{3} \cdot 7^{-6} \cdot 359^{-2} \cdot 41131^{3}$	$35.169$
28.12.0.b.1		$0$	$1$			805.a3	\(\Q\)	\(\Q\)	$\tfrac{2041085246738049}{38897700625} = 3^{3} \cdot 5^{-4} \cdot 7^{-6} \cdot 23^{-2} \cdot 42283^{3}$	$35.252$