Elliptic curve search results

Results (38 matches)

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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	Manin constant
575.c1	575d1	575.c	575d	$1$	$1$	\( 5^{2} \cdot 23 \)	\( 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.229248300$	$1$		$6$	$60$	$0.027223$	$46305/23$	$0.87793$	$3.71689$	$[1, -1, 1, -55, 72]$	\(y^2+xy+y=x^3-x^2-55x+72\)	92.2.0.?	$[(-6, 15)]$	$1$
575.d1	575a1	575.d	575a	$1$	$1$	\( 5^{2} \cdot 23 \)	\( 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.517030746$	$1$		$2$	$12$	$-0.777496$	$46305/23$	$0.87793$	$2.19721$	$[1, -1, 0, -2, 1]$	\(y^2+xy=x^3-x^2-2x+1\)	92.2.0.?	$[(0, 1)]$	$1$
5175.e1	5175l1	5175.e	5175l	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23 \)	\( 3^{6} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.483109424$	$1$		$4$	$384$	$-0.228190$	$46305/23$	$0.87793$	$2.40348$	$[1, -1, 1, -20, -8]$	\(y^2+xy+y=x^3-x^2-20x-8\)	92.2.0.?	$[(-2, 5)]$	$1$
5175.u1	5175p1	5175.u	5175p	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23 \)	\( 3^{6} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$2.210945594$	$1$		$2$	$1920$	$0.576529$	$46305/23$	$0.87793$	$3.53270$	$[1, -1, 0, -492, -1459]$	\(y^2+xy=x^3-x^2-492x-1459\)	92.2.0.?	$[(-20, 1)]$	$1$
9200.r1	9200be1	9200.r	9200be	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.739812878$	$1$		$4$	$3840$	$0.720370$	$46305/23$	$0.87793$	$3.49911$	$[0, 0, 0, -875, -3750]$	\(y^2=x^3-875x-3750\)	92.2.0.?	$[(-25, 50)]$	$1$
9200.u1	9200y1	9200.u	9200y	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.058507500$	$1$		$4$	$768$	$-0.084349$	$46305/23$	$0.87793$	$2.44108$	$[0, 0, 0, -35, -30]$	\(y^2=x^3-35x-30\)	92.2.0.?	$[(-1, 2)]$	$1$
13225.g1	13225g1	13225.g	13225g	$1$	$1$	\( 5^{2} \cdot 23^{2} \)	\( 5^{8} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.688347930$	$1$		$2$	$31680$	$1.594971$	$46305/23$	$0.87793$	$4.47124$	$[1, -1, 1, -28930, -705678]$	\(y^2+xy+y=x^3-x^2-28930x-705678\)	92.2.0.?	$[(190, 698)]$	$1$
13225.j1	13225c1	13225.j	13225c	$1$	$1$	\( 5^{2} \cdot 23^{2} \)	\( 5^{2} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$6336$	$0.790251$	$46305/23$	$0.87793$	$3.45367$	$[1, -1, 0, -1157, -5414]$	\(y^2+xy=x^3-x^2-1157x-5414\)	92.2.0.?	$[ ]$	$1$
28175.m1	28175bc1	28175.m	28175bc	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 23 \)	\( 5^{8} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$22680$	$1.000177$	$46305/23$	$0.87793$	$3.44459$	$[1, -1, 1, -2680, -19428]$	\(y^2+xy+y=x^3-x^2-2680x-19428\)	92.2.0.?	$[ ]$	$1$
28175.y1	28175b1	28175.y	28175b	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 23 \)	\( 5^{2} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$4536$	$0.195459$	$46305/23$	$0.87793$	$2.50213$	$[1, -1, 0, -107, -134]$	\(y^2+xy=x^3-x^2-107x-134\)	92.2.0.?	$[ ]$	$1$
36800.br1	36800db1	36800.br	36800db	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{18} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$3.398699411$	$1$		$2$	$30720$	$1.066944$	$46305/23$	$0.87793$	$3.43330$	$[0, 0, 0, -3500, -30000]$	\(y^2=x^3-3500x-30000\)	92.2.0.?	$[(-16, 148)]$	$1$
36800.bs1	36800a1	36800.bs	36800a	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{18} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.805666900$	$1$		$4$	$6144$	$0.262225$	$46305/23$	$0.87793$	$2.51478$	$[0, 0, 0, -140, 240]$	\(y^2=x^3-140x+240\)	92.2.0.?	$[(14, 32)]$	$1$
36800.cb1	36800cl1	36800.cb	36800cl	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{18} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.813173098$	$1$		$2$	$6144$	$0.262225$	$46305/23$	$0.87793$	$2.51478$	$[0, 0, 0, -140, -240]$	\(y^2=x^3-140x-240\)	92.2.0.?	$[(-4, 16)]$	$1$
36800.cc1	36800bp1	36800.cc	36800bp	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 23 \)	\( 2^{18} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.993001309$	$1$		$2$	$30720$	$1.066944$	$46305/23$	$0.87793$	$3.43330$	$[0, 0, 0, -3500, 30000]$	\(y^2=x^3-3500x+30000\)	92.2.0.?	$[(6, 96)]$	$1$
69575.i1	69575f1	69575.i	69575f	$1$	$1$	\( 5^{2} \cdot 11^{2} \cdot 23 \)	\( 5^{2} \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$17160$	$0.421452$	$46305/23$	$0.87793$	$2.54250$	$[1, -1, 1, -265, -558]$	\(y^2+xy+y=x^3-x^2-265x-558\)	92.2.0.?	$[ ]$	$1$
69575.t1	69575ba1	69575.t	69575ba	$1$	$1$	\( 5^{2} \cdot 11^{2} \cdot 23 \)	\( 5^{8} \cdot 11^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$85800$	$1.226170$	$46305/23$	$0.87793$	$3.40855$	$[1, -1, 0, -6617, -76334]$	\(y^2+xy=x^3-x^2-6617x-76334\)	92.2.0.?	$[ ]$	$1$
82800.cj1	82800fq1	82800.cj	82800fq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$2.788775398$	$1$		$2$	$122880$	$1.269676$	$46305/23$	$0.87793$	$3.40227$	$[0, 0, 0, -7875, 101250]$	\(y^2=x^3-7875x+101250\)	92.2.0.?	$[(-9, 414)]$	$1$
82800.dx1	82800cz1	82800.dx	82800cz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.345847142$	$1$		$2$	$24576$	$0.464957$	$46305/23$	$0.87793$	$2.54953$	$[0, 0, 0, -315, 810]$	\(y^2=x^3-315x+810\)	92.2.0.?	$[(-9, 54)]$	$1$
97175.g1	97175b1	97175.g	97175b	$1$	$1$	\( 5^{2} \cdot 13^{2} \cdot 23 \)	\( 5^{2} \cdot 13^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$3.008438429$	$1$		$2$	$28080$	$0.504978$	$46305/23$	$0.87793$	$2.55581$	$[1, -1, 1, -370, 1122]$	\(y^2+xy+y=x^3-x^2-370x+1122\)	92.2.0.?	$[(0, 33)]$	$1$
97175.u1	97175s1	97175.u	97175s	$1$	$1$	\( 5^{2} \cdot 13^{2} \cdot 23 \)	\( 5^{8} \cdot 13^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$11.30881778$	$1$		$0$	$140400$	$1.309698$	$46305/23$	$0.87793$	$3.39666$	$[1, -1, 0, -9242, 131041]$	\(y^2+xy=x^3-x^2-9242x+131041\)	92.2.0.?	$[(-37824/25, 11138599/25)]$	$1$
119025.v1	119025bf1	119025.v	119025bf	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{6} \cdot 5^{2} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.951281938$	$1$		$4$	$202752$	$1.339558$	$46305/23$	$0.87793$	$3.36838$	$[1, -1, 1, -10415, 156592]$	\(y^2+xy+y=x^3-x^2-10415x+156592\)	92.2.0.?	$[(98, 215)]$	$1$
119025.cc1	119025ce1	119025.cc	119025ce	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{6} \cdot 5^{8} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$1013760$	$2.144276$	$46305/23$	$0.87793$	$4.19464$	$[1, -1, 0, -260367, 19313666]$	\(y^2+xy=x^3-x^2-260367x+19313666\)	92.2.0.?	$[ ]$	$1$
166175.f1	166175f1	166175.f	166175f	$1$	$1$	\( 5^{2} \cdot 17^{2} \cdot 23 \)	\( 5^{8} \cdot 17^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$311040$	$1.443829$	$46305/23$	$0.87793$	$3.37896$	$[1, -1, 1, -15805, 291822]$	\(y^2+xy+y=x^3-x^2-15805x+291822\)	92.2.0.?	$[ ]$	$1$
166175.r1	166175r1	166175.r	166175r	$1$	$1$	\( 5^{2} \cdot 17^{2} \cdot 23 \)	\( 5^{2} \cdot 17^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$62208$	$0.639111$	$46305/23$	$0.87793$	$2.57563$	$[1, -1, 0, -632, 2461]$	\(y^2+xy=x^3-x^2-632x+2461\)	92.2.0.?	$[ ]$	$1$
207575.c1	207575d1	207575.c	207575d	$1$	$1$	\( 5^{2} \cdot 19^{2} \cdot 23 \)	\( 5^{2} \cdot 19^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$81000$	$0.694723$	$46305/23$	$0.87793$	$2.58334$	$[1, -1, 1, -790, -3018]$	\(y^2+xy+y=x^3-x^2-790x-3018\)	92.2.0.?	$[ ]$	$1$
207575.l1	207575l1	207575.l	207575l	$1$	$1$	\( 5^{2} \cdot 19^{2} \cdot 23 \)	\( 5^{8} \cdot 19^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$405000$	$1.499443$	$46305/23$	$0.87793$	$3.37207$	$[1, -1, 0, -19742, -396959]$	\(y^2+xy=x^3-x^2-19742x-396959\)	92.2.0.?	$[ ]$	$1$
211600.ca1	211600bl1	211600.ca	211600bl	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{12} \cdot 5^{2} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.190732630$	$1$		$2$	$405504$	$1.483398$	$46305/23$	$0.87793$	$3.35109$	$[0, 0, 0, -18515, 365010]$	\(y^2=x^3-18515x+365010\)	92.2.0.?	$[(-46, 1058)]$	$1$
211600.cf1	211600bf1	211600.cf	211600bf	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{12} \cdot 5^{8} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$2027520$	$2.288116$	$46305/23$	$0.87793$	$4.13859$	$[0, 0, 0, -462875, 45626250]$	\(y^2=x^3-462875x+45626250\)	92.2.0.?	$[ ]$	$1$
253575.bq1	253575bq1	253575.bq	253575bq	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$145152$	$0.744765$	$46305/23$	$0.87793$	$2.59005$	$[1, -1, 1, -965, 4582]$	\(y^2+xy+y=x^3-x^2-965x+4582\)	92.2.0.?	$[ ]$	$1$
253575.ev1	253575ev1	253575.ev	253575ev	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$725760$	$1.549484$	$46305/23$	$0.87793$	$3.36609$	$[1, -1, 0, -24117, 548666]$	\(y^2+xy=x^3-x^2-24117x+548666\)	92.2.0.?	$[ ]$	$1$
331200.gg1	331200gg1	331200.gg	331200gg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.090754845$	$1$		$4$	$196608$	$0.811531$	$46305/23$	$0.87793$	$2.59866$	$[0, 0, 0, -1260, -6480]$	\(y^2=x^3-1260x-6480\)	92.2.0.?	$[(54, 288)]$	$1$
331200.gp1	331200gp1	331200.gp	331200gp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{18} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.286775572$	$1$		$2$	$983040$	$1.616249$	$46305/23$	$0.87793$	$3.35840$	$[0, 0, 0, -31500, 810000]$	\(y^2=x^3-31500x+810000\)	92.2.0.?	$[(0, 900)]$	$1$
331200.km1	331200km1	331200.km	331200km	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{18} \cdot 3^{6} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.969146818$	$1$		$4$	$983040$	$1.616249$	$46305/23$	$0.87793$	$3.35840$	$[0, 0, 0, -31500, -810000]$	\(y^2=x^3-31500x-810000\)	92.2.0.?	$[(-50, 800)]$	$1$
331200.kv1	331200kv1	331200.kv	331200kv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$2.202349322$	$1$		$2$	$196608$	$0.811531$	$46305/23$	$0.87793$	$2.59866$	$[0, 0, 0, -1260, 6480]$	\(y^2=x^3-1260x+6480\)	92.2.0.?	$[(-36, 72)]$	$1$
450800.dk1	450800dk1	450800.dk	450800dk	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{8} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$1451520$	$1.693325$	$46305/23$	$0.87793$	$3.34991$	$[0, 0, 0, -42875, 1286250]$	\(y^2=x^3-42875x+1286250\)	92.2.0.?	$[ ]$	$1$
450800.dl1	450800dl1	450800.dl	450800dl	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{2} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$290304$	$0.888606$	$46305/23$	$0.87793$	$2.60816$	$[0, 0, 0, -1715, 10290]$	\(y^2=x^3-1715x+10290\)	92.2.0.?	$[ ]$	$1$
483575.c1	483575c1	483575.c	483575c	$1$	$1$	\( 5^{2} \cdot 23 \cdot 29^{2} \)	\( 5^{2} \cdot 23 \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$4.088465971$	$1$		$2$	$294000$	$0.906152$	$46305/23$	$0.87793$	$2.61026$	$[1, -1, 1, -1840, 11892]$	\(y^2+xy+y=x^3-x^2-1840x+11892\)	92.2.0.?	$[(-30, 213)]$	$1$
483575.h1	483575h1	483575.h	483575h	$1$	$1$	\( 5^{2} \cdot 23 \cdot 29^{2} \)	\( 5^{8} \cdot 23 \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$9.620717716$	$1$		$0$	$1470000$	$1.710871$	$46305/23$	$0.87793$	$3.34803$	$[1, -1, 0, -45992, 1440541]$	\(y^2+xy=x^3-x^2-45992x+1440541\)	92.2.0.?	$[(-19524/23, 21600701/23)]$	$1$

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