Elliptic curve search results

Results (29 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
966.c1	966c2	966.c	966c	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1288$	$12$	$0$	$3.116373404$	$1$		$4$	$8448$	$1.749481$	$1733490909744055732873/99355964553216$	$1.06274$	$7.11527$	$[1, 1, 0, -250264, 48082240]$	\(y^2+xy=x^3+x^2-250264x+48082240\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(285, -55)]$
2898.l1	2898r2	2898.l	2898r	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{22} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$67584$	$2.298786$	$1733490909744055732873/99355964553216$	$1.06274$	$6.96157$	$[1, -1, 1, -2252381, -1300472859]$	\(y^2+xy+y=x^3-x^2-2252381x-1300472859\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
6762.m1	6762t2	6762.m	6762t	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$405504$	$2.722439$	$1733490909744055732873/99355964553216$	$1.06274$	$6.86919$	$[1, 0, 1, -12262962, -16528997180]$	\(y^2+xy+y=x^3-12262962x-16528997180\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
7728.t1	7728p2	7728.t	7728p	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23 \)	\( 2^{23} \cdot 3^{16} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.644099715$	$1$		$3$	$202752$	$2.442631$	$1733490909744055732873/99355964553216$	$1.06274$	$6.39168$	$[0, 1, 0, -4004232, -3085271820]$	\(y^2=x^3+x^2-4004232x-3085271820\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(4926, 311040)]$
20286.cn1	20286cb2	20286.cn	20286cb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{22} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$3244032$	$3.271744$	$1733490909744055732873/99355964553216$	$1.06274$	$6.77291$	$[1, -1, 1, -110366654, 446282923853]$	\(y^2+xy+y=x^3-x^2-110366654x+446282923853\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
22218.d1	22218c2	22218.d	22218c	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 23^{2} \)	\( 2^{11} \cdot 3^{16} \cdot 7^{2} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$4$	$2$	$0$	$4460544$	$3.317230$	$1733490909744055732873/99355964553216$	$1.06274$	$6.76588$	$[1, 1, 0, -132389931, -586340512515]$	\(y^2+xy=x^3+x^2-132389931x-586340512515\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
23184.i1	23184br2	23184.i	23184br	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( 2^{23} \cdot 3^{22} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$1622016$	$2.991936$	$1733490909744055732873/99355964553216$	$1.06274$	$6.34887$	$[0, 0, 0, -36038091, 83266301050]$	\(y^2=x^3-36038091x+83266301050\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
24150.cf1	24150ce2	24150.cf	24150ce	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.107259457$	$1$		$22$	$1081344$	$2.554199$	$1733490909744055732873/99355964553216$	$1.06274$	$5.80270$	$[1, 0, 0, -6256613, 6022793217]$	\(y^2+xy=x^3-6256613x+6022793217\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(1402, 1999)]$
30912.e1	30912bi2	30912.e	30912bi	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	\( 2^{29} \cdot 3^{16} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$1622016$	$2.789204$	$1733490909744055732873/99355964553216$	$1.06274$	$5.93691$	$[0, -1, 0, -16016929, -24666157631]$	\(y^2=x^3-x^2-16016929x-24666157631\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
30912.bq1	30912bd2	30912.bq	30912bd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	\( 2^{29} \cdot 3^{16} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$1622016$	$2.789204$	$1733490909744055732873/99355964553216$	$1.06274$	$5.93691$	$[0, 1, 0, -16016929, 24666157631]$	\(y^2=x^3+x^2-16016929x+24666157631\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
54096.m1	54096bo2	54096.m	54096bo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{23} \cdot 3^{16} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$5.863635994$	$1$		$3$	$9732096$	$3.415585$	$1733490909744055732873/99355964553216$	$1.06274$	$6.32175$	$[0, -1, 0, -196207384, 1057855819504]$	\(y^2=x^3-x^2-196207384x+1057855819504\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(6018, 308210)]$
66654.bw1	66654bo2	66654.bw	66654bo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \)	\( 2^{11} \cdot 3^{22} \cdot 7^{2} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$35684352$	$3.866535$	$1733490909744055732873/99355964553216$	$1.06274$	$6.69013$	$[1, -1, 1, -1191509384, 15830002328523]$	\(y^2+xy+y=x^3-x^2-1191509384x+15830002328523\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
72450.bc1	72450bi2	72450.bc	72450bi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{22} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$11.92265830$	$1$		$0$	$8650752$	$3.103508$	$1733490909744055732873/99355964553216$	$1.06274$	$5.82207$	$[1, -1, 0, -56309517, -162615416859]$	\(y^2+xy=x^3-x^2-56309517x-162615416859\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-12169449/53, 744993261/53)]$
92736.em1	92736en2	92736.em	92736en	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( 2^{29} \cdot 3^{22} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$9$	$3$	$1$	$12976128$	$3.338509$	$1733490909744055732873/99355964553216$	$1.06274$	$5.94297$	$[0, 0, 0, -144152364, 666130408400]$	\(y^2=x^3-144152364x+666130408400\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
92736.ep1	92736cb2	92736.ep	92736cb	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( 2^{29} \cdot 3^{22} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$24.74997085$	$1$		$1$	$12976128$	$3.338509$	$1733490909744055732873/99355964553216$	$1.06274$	$5.94297$	$[0, 0, 0, -144152364, -666130408400]$	\(y^2=x^3-144152364x-666130408400\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-42817502596122/78797, 1237116360456596480/78797)]$
116886.bd1	116886bc2	116886.bd	116886bc	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 7^{2} \cdot 11^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$4$	$2$	$0$	$10813440$	$2.948429$	$1733490909744055732873/99355964553216$	$1.06274$	$5.42395$	$[1, 1, 1, -30282007, -64148871379]$	\(y^2+xy+y=x^3+x^2-30282007x-64148871379\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
155526.bk1	155526cl2	155526.bk	155526cl	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23^{2} \)	\( 2^{11} \cdot 3^{16} \cdot 7^{8} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$214106112$	$4.290184$	$1733490909744055732873/99355964553216$	$1.06274$	$6.64121$	$[1, 0, 1, -6487106645, 201095334472736]$	\(y^2+xy+y=x^3-6487106645x+201095334472736\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
162288.et1	162288cg2	162288.et	162288cg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{23} \cdot 3^{22} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$43.35894324$	$1$		$1$	$77856768$	$3.964890$	$1733490909744055732873/99355964553216$	$1.06274$	$6.29228$	$[0, 0, 0, -1765866459, -28560341260150]$	\(y^2=x^3-1765866459x-28560341260150\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(227514269135038805423/30941753, 3373936379117354290336012507430/30941753)]$
163254.cf1	163254bf2	163254.cf	163254bf	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 7^{2} \cdot 13^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$2.173629304$	$1$		$4$	$18247680$	$3.031956$	$1733490909744055732873/99355964553216$	$1.06274$	$5.35648$	$[1, 1, 1, -42294704, 105848154641]$	\(y^2+xy+y=x^3+x^2-42294704x+105848154641\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(3437, 31405)]$
169050.er1	169050df2	169050.er	169050df	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 5^{6} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$2.217457183$	$1$		$6$	$51904512$	$3.527157$	$1733490909744055732873/99355964553216$	$1.06274$	$5.83459$	$[1, 1, 1, -306574038, -2066124647469]$	\(y^2+xy+y=x^3+x^2-306574038x-2066124647469\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-10095, -4753)]$
177744.ca1	177744g2	177744.ca	177744g	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \)	\( 2^{23} \cdot 3^{16} \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.566773167$	$1$		$7$	$107053056$	$4.010376$	$1733490909744055732873/99355964553216$	$1.06274$	$6.29008$	$[0, 1, 0, -2118238904, 37521556323156]$	\(y^2=x^3+x^2-2118238904x+37521556323156\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(28006, 406272)]$
193200.di1	193200eg2	193200.di	193200eg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{23} \cdot 3^{16} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$9$	$3$	$1$	$25952256$	$3.247349$	$1733490909744055732873/99355964553216$	$1.06274$	$5.49471$	$[0, -1, 0, -100105808, -385458765888]$	\(y^2=x^3-x^2-100105808x-385458765888\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
216384.dp1	216384ip2	216384.dp	216384ip	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{29} \cdot 3^{16} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$68.40069048$	$1$		$1$	$77856768$	$3.762157$	$1733490909744055732873/99355964553216$	$1.06274$	$5.94690$	$[0, -1, 0, -784829537, -8462061726495]$	\(y^2=x^3-x^2-784829537x-8462061726495\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(37758315699338152548052525322360/14512920619643, 228992703207799353329803592027688106521374516295/14512920619643)]$
216384.hv1	216384bs2	216384.hv	216384bs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{29} \cdot 3^{16} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$77856768$	$3.762157$	$1733490909744055732873/99355964553216$	$1.06274$	$5.94690$	$[0, 1, 0, -784829537, 8462061726495]$	\(y^2=x^3+x^2-784829537x+8462061726495\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
279174.z1	279174z2	279174.z	279174z	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 7^{2} \cdot 17^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$41631744$	$3.166088$	$1733490909744055732873/99355964553216$	$1.06274$	$5.25565$	$[1, 0, 1, -72326447, 236734329890]$	\(y^2+xy+y=x^3-72326447x+236734329890\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
348726.cx1	348726cx2	348726.cx	348726cx	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 7^{2} \cdot 19^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$60217344$	$3.221703$	$1733490909744055732873/99355964553216$	$1.06274$	$5.21633$	$[1, 0, 0, -90345492, -330518847600]$	\(y^2+xy=x^3-90345492x-330518847600\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
350658.m1	350658m2	350658.m	350658m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{22} \cdot 7^{2} \cdot 11^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$9.784849521$	$1$		$2$	$86507520$	$3.497734$	$1733490909744055732873/99355964553216$	$1.06274$	$5.47352$	$[1, -1, 0, -272538063, 1731746989165]$	\(y^2+xy=x^3-x^2-272538063x+1731746989165\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(198267, 87886682)]$
466578.dw1	466578dw2	466578.dw	466578dw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( 2^{11} \cdot 3^{22} \cdot 7^{8} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$11.77739031$	$1$		$0$	$1712848896$	$4.839493$	$1733490909744055732873/99355964553216$	$1.06274$	$6.58725$	$[1, -1, 1, -58383959801, -5429574030763879]$	\(y^2+xy+y=x^3-x^2-58383959801x-5429574030763879\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(201420871/19, 2524690248652/19)]$
489762.bw1	489762bw2	489762.bw	489762bw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{22} \cdot 7^{2} \cdot 13^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$9$	$3$	$0$	$145981440$	$3.581264$	$1733490909744055732873/99355964553216$	$1.06274$	$5.41044$	$[1, -1, 0, -380652336, -2858280827648]$	\(y^2+xy=x^3-x^2-380652336x-2858280827648\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$