Elliptic curve search results

Results (27 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
1110.o1	1110o2	1110.o	1110o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 37 \)	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$160$	$-0.197627$	$14688124849/123210$	$0.88296$	$3.33855$	$[1, 0, 0, -51, 135]$	\(y^2+xy=x^3-51x+135\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
3330.l1	3330l2	3330.l	3330l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2 \cdot 3^{8} \cdot 5 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$1280$	$0.351679$	$14688124849/123210$	$0.88296$	$3.69905$	$[1, -1, 0, -459, -3645]$	\(y^2+xy=x^3-x^2-459x-3645\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
5550.b1	5550d2	5550.b	5550d	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2 \cdot 3^{2} \cdot 5^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.327221625$	$1$		$8$	$3840$	$0.607092$	$14688124849/123210$	$0.88296$	$3.83538$	$[1, 1, 0, -1275, 16875]$	\(y^2+xy=x^3+x^2-1275x+16875\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(15, 30)]$
8880.b1	8880q2	8880.b	8880q	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{13} \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.805397285$	$1$		$7$	$3840$	$0.495520$	$14688124849/123210$	$0.88296$	$3.48984$	$[0, -1, 0, -816, -8640]$	\(y^2=x^3-x^2-816x-8640\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(-16, 8)]$
16650.bq1	16650cb2	16650.bq	16650cb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2 \cdot 3^{8} \cdot 5^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.563811670$	$1$		$0$	$30720$	$1.156399$	$14688124849/123210$	$0.88296$	$4.08003$	$[1, -1, 1, -11480, -467103]$	\(y^2+xy+y=x^3-x^2-11480x-467103\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(671/2, 11475/2)]$
26640.z1	26640ce2	26640.z	26640ce	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{13} \cdot 3^{8} \cdot 5 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.235261250$	$1$		$7$	$30720$	$1.044827$	$14688124849/123210$	$0.88296$	$3.76046$	$[0, 0, 0, -7347, 240626]$	\(y^2=x^3-7347x+240626\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(55, 54)]$
35520.bn1	35520p2	35520.bn	35520p	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{19} \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$30720$	$0.842093$	$14688124849/123210$	$0.88296$	$3.42503$	$[0, -1, 0, -3265, 72385]$	\(y^2=x^3-x^2-3265x+72385\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
35520.cj1	35520cy2	35520.cj	35520cy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{19} \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$30720$	$0.842093$	$14688124849/123210$	$0.88296$	$3.42503$	$[0, 1, 0, -3265, -72385]$	\(y^2=x^3+x^2-3265x-72385\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
41070.r1	41070n2	41070.r	41070n	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \)	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.941167449$	$1$		$0$	$218880$	$1.607832$	$14688124849/123210$	$0.88296$	$4.24321$	$[1, 0, 1, -69848, 7047668]$	\(y^2+xy+y=x^3-69848x+7047668\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(23787/14, 1483133/14)]$
44400.dj1	44400cm2	44400.dj	44400cm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$2.797068504$	$1$		$3$	$92160$	$1.300240$	$14688124849/123210$	$0.88296$	$3.86737$	$[0, 1, 0, -20408, -1120812]$	\(y^2=x^3+x^2-20408x-1120812\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(663, 16650)]$
54390.ca1	54390cg2	54390.ca	54390cg	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$6.127357179$	$1$		$0$	$46080$	$0.775329$	$14688124849/123210$	$0.88296$	$3.21772$	$[1, 1, 1, -2500, -48805]$	\(y^2+xy+y=x^3+x^2-2500x-48805\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(2155/6, 24395/6)]$
106560.m1	106560em2	106560.m	106560em	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{19} \cdot 3^{8} \cdot 5 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.882785687$	$1$		$7$	$245760$	$1.391399$	$14688124849/123210$	$0.88296$	$3.66940$	$[0, 0, 0, -29388, 1925008]$	\(y^2=x^3-29388x+1925008\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(18, 1184)]$
106560.dd1	106560bm2	106560.dd	106560bm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{19} \cdot 3^{8} \cdot 5 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$245760$	$1.391399$	$14688124849/123210$	$0.88296$	$3.66940$	$[0, 0, 0, -29388, -1925008]$	\(y^2=x^3-29388x-1925008\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
123210.cw1	123210cx2	123210.cw	123210cx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( 2 \cdot 3^{8} \cdot 5 \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$18.56974004$	$1$		$0$	$1751040$	$2.157139$	$14688124849/123210$	$0.88296$	$4.40787$	$[1, -1, 1, -628628, -190287043]$	\(y^2+xy+y=x^3-x^2-628628x-190287043\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(20031219565/3652, 2274718500147139/3652)]$
133200.gi1	133200do2	133200.gi	133200do	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2^{13} \cdot 3^{8} \cdot 5^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.131603012$	$1$		$7$	$737280$	$1.849545$	$14688124849/123210$	$0.88296$	$4.06593$	$[0, 0, 0, -183675, 30078250]$	\(y^2=x^3-183675x+30078250\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(5, 5400)]$
134310.w1	134310bx2	134310.w	134310bx	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \)	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$224000$	$1.001320$	$14688124849/123210$	$0.88296$	$3.20105$	$[1, 0, 1, -6174, -185858]$	\(y^2+xy+y=x^3-6174x-185858\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
163170.bf1	163170es2	163170.bf	163170es	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2 \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.222240571$	$1$		$12$	$368640$	$1.324635$	$14688124849/123210$	$0.88296$	$3.47238$	$[1, -1, 0, -22500, 1295230]$	\(y^2+xy=x^3-x^2-22500x+1295230\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(53, 473), (93, -71)]$
177600.ek1	177600el2	177600.ek	177600el	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{19} \cdot 3^{2} \cdot 5^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.407275551$	$1$		$3$	$737280$	$1.646812$	$14688124849/123210$	$0.88296$	$3.76789$	$[0, -1, 0, -81633, -8884863]$	\(y^2=x^3-x^2-81633x-8884863\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(333, 864)]$
177600.fe1	177600fq2	177600.fe	177600fq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{19} \cdot 3^{2} \cdot 5^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.933939685$	$1$		$5$	$737280$	$1.646812$	$14688124849/123210$	$0.88296$	$3.76789$	$[0, 1, 0, -81633, 8884863]$	\(y^2=x^3+x^2-81633x+8884863\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(147, 288)]$
187590.bf1	187590br2	187590.bf	187590br	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 37 \)	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1.613079372$	$1$		$2$	$368640$	$1.084848$	$14688124849/123210$	$0.88296$	$3.19552$	$[1, 0, 1, -8623, 305216]$	\(y^2+xy+y=x^3-8623x+305216\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(-38, 779)]$
205350.ch1	205350bp2	205350.ch	205350bp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37^{2} \)	\( 2 \cdot 3^{2} \cdot 5^{7} \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$5253120$	$2.412552$	$14688124849/123210$	$0.88296$	$4.47436$	$[1, 1, 1, -1746188, 880958531]$	\(y^2+xy+y=x^3+x^2-1746188x+880958531\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
271950.dg1	271950dg2	271950.dg	271950dg	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( 2 \cdot 3^{2} \cdot 5^{7} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.399577649$	$1$		$0$	$1105920$	$1.580048$	$14688124849/123210$	$0.88296$	$3.57557$	$[1, 0, 1, -62501, -5975602]$	\(y^2+xy+y=x^3-62501x-5975602\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(6448/3, 471127/3)]$
320790.bw1	320790bw2	320790.bw	320790bw	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 37 \)	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$6.181945419$	$1$		$0$	$819200$	$1.218979$	$14688124849/123210$	$0.88296$	$3.18724$	$[1, 1, 1, -14745, 677997]$	\(y^2+xy+y=x^3+x^2-14745x+677997\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(8261/4, 716061/4)]$
328560.t1	328560t2	328560.t	328560t	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37^{2} \)	\( 2^{13} \cdot 3^{2} \cdot 5 \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$10.22470296$	$1$		$1$	$5253120$	$2.300980$	$14688124849/123210$	$0.88296$	$4.20340$	$[0, -1, 0, -1117560, -451050768]$	\(y^2=x^3-x^2-1117560x-451050768\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(5326693/38, 11718622203/38)]$
400710.g1	400710g2	400710.g	400710g	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 37 \)	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$1140480$	$1.274593$	$14688124849/123210$	$0.88296$	$3.18401$	$[1, 1, 0, -18418, -962798]$	\(y^2+xy=x^3+x^2-18418x-962798\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
402930.ea1	402930ea2	402930.ea	402930ea	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( 2 \cdot 3^{8} \cdot 5 \cdot 11^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$1792000$	$1.550627$	$14688124849/123210$	$0.88296$	$3.43930$	$[1, -1, 1, -55562, 5018159]$	\(y^2+xy+y=x^3-x^2-55562x+5018159\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
435120.hz1	435120hz2	435120.hz	435120hz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{13} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$1105920$	$1.468475$	$14688124849/123210$	$0.88296$	$3.34301$	$[0, 1, 0, -40000, 3043508]$	\(y^2=x^3+x^2-40000x+3043508\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$