Elliptic curve search results

Results (19 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
2442.f1	2442f1	2442.f	2442f	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{11} \cdot 11 \cdot 37^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$264$	$12$	$0$	$0.223061221$	$1$		$11$	$12672$	$1.521893$	$5577108481460841625/233729407061568$	$0.98699$	$5.53359$	$[1, 0, 1, -36946, 2629412]$	\(y^2+xy+y=x^3-36946x+2629412\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(130, 101)]$
7326.i1	7326m1	7326.i	7326m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{17} \cdot 11 \cdot 37^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$2.501097976$	$1$		$5$	$101376$	$2.071198$	$5577108481460841625/233729407061568$	$0.98699$	$5.59117$	$[1, -1, 1, -332510, -70994131]$	\(y^2+xy+y=x^3-x^2-332510x-70994131\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-353, 1693)]$
19536.h1	19536v1	19536.h	19536v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{18} \cdot 3^{11} \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$304128$	$2.215038$	$5577108481460841625/233729407061568$	$0.98699$	$5.21082$	$[0, -1, 0, -591128, -168282384]$	\(y^2=x^3-x^2-591128x-168282384\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
26862.t1	26862x1	26862.t	26862x	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{11} \cdot 11^{7} \cdot 37^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$0.776991416$	$1$		$9$	$1520640$	$2.720840$	$5577108481460841625/233729407061568$	$0.98699$	$5.64326$	$[1, 0, 0, -4470408, -3504218112]$	\(y^2+xy=x^3-4470408x-3504218112\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-1098, 9540)]$
58608.ba1	58608bd1	58608.ba	58608bd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{18} \cdot 3^{17} \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$2433024$	$2.764347$	$5577108481460841625/233729407061568$	$0.98699$	$5.28979$	$[0, 0, 0, -5320155, 4548944522]$	\(y^2=x^3-5320155x+4548944522\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
61050.bt1	61050bk1	61050.bt	61050bk	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{11} \cdot 5^{6} \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$1824768$	$2.326611$	$5577108481460841625/233729407061568$	$0.98699$	$4.79351$	$[1, 1, 1, -923638, 328676531]$	\(y^2+xy+y=x^3+x^2-923638x+328676531\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
78144.v1	78144m1	78144.v	78144m	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{11} \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$2433024$	$2.561611$	$5577108481460841625/233729407061568$	$0.98699$	$4.93878$	$[0, -1, 0, -2364513, 1348623585]$	\(y^2=x^3-x^2-2364513x+1348623585\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
78144.cl1	78144cp1	78144.cl	78144cp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{11} \cdot 11 \cdot 37^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$3.059686074$	$1$		$3$	$2433024$	$2.561611$	$5577108481460841625/233729407061568$	$0.98699$	$4.93878$	$[0, 1, 0, -2364513, -1348623585]$	\(y^2=x^3+x^2-2364513x-1348623585\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-843, 6804)]$
80586.k1	80586l1	80586.k	80586l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{17} \cdot 11^{7} \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$12165120$	$3.270145$	$5577108481460841625/233729407061568$	$0.98699$	$5.67795$	$[1, -1, 0, -40233672, 94613889024]$	\(y^2+xy=x^3-x^2-40233672x+94613889024\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
90354.t1	90354x1	90354.t	90354x	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \)	\( 2^{6} \cdot 3^{11} \cdot 11 \cdot 37^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1.920144595$	$1$		$3$	$17335296$	$3.327351$	$5577108481460841625/233729407061568$	$0.98699$	$5.68118$	$[1, 0, 0, -50578418, 133339353924]$	\(y^2+xy=x^3-50578418x+133339353924\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(7144, 366058)]$
119658.l1	119658i1	119658.l	119658i	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{11} \cdot 7^{6} \cdot 11 \cdot 37^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$7.179842118$	$1$		$3$	$4561920$	$2.494846$	$5577108481460841625/233729407061568$	$0.98699$	$4.69029$	$[1, 1, 0, -1810330, -903698732]$	\(y^2+xy=x^3+x^2-1810330x-903698732\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(18921, 2586515)]$
183150.cj1	183150ep1	183150.cj	183150ep	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{17} \cdot 5^{6} \cdot 11 \cdot 37^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$6.533719476$	$1$		$1$	$14598144$	$2.875916$	$5577108481460841625/233729407061568$	$0.98699$	$4.90289$	$[1, -1, 0, -8312742, -8882579084]$	\(y^2+xy=x^3-x^2-8312742x-8882579084\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(205091/2, 92523709/2)]$
214896.p1	214896ba1	214896.p	214896ba	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{18} \cdot 3^{11} \cdot 11^{7} \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$36495360$	$3.413986$	$5577108481460841625/233729407061568$	$0.98699$	$5.36495$	$[0, -1, 0, -71526528, 224269959168]$	\(y^2=x^3-x^2-71526528x+224269959168\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
234432.bx1	234432bx1	234432.bx	234432bx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{17} \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$19464192$	$3.110920$	$5577108481460841625/233729407061568$	$0.98699$	$5.03307$	$[0, 0, 0, -21280620, -36391556176]$	\(y^2=x^3-21280620x-36391556176\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
234432.cq1	234432cq1	234432.cq	234432cq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{17} \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$19464192$	$3.110920$	$5577108481460841625/233729407061568$	$0.98699$	$5.03307$	$[0, 0, 0, -21280620, 36391556176]$	\(y^2=x^3-21280620x+36391556176\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
271062.g1	271062g1	271062.g	271062g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \)	\( 2^{6} \cdot 3^{17} \cdot 11 \cdot 37^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$33.51407951$	$1$		$1$	$138682368$	$3.876656$	$5577108481460841625/233729407061568$	$0.98699$	$5.70918$	$[1, -1, 0, -455205762, -3600162555948]$	\(y^2+xy=x^3-x^2-455205762x-3600162555948\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(38917932583948569/274243, 7665614528019285050329995/274243)]$
358974.ea1	358974ea1	358974.ea	358974ea	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{6} \cdot 3^{17} \cdot 7^{6} \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$36495360$	$3.044155$	$5577108481460841625/233729407061568$	$0.98699$	$4.80278$	$[1, -1, 1, -16292975, 24383572791]$	\(y^2+xy+y=x^3-x^2-16292975x+24383572791\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
412698.cr1	412698cr1	412698.cr	412698cr	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{11} \cdot 11 \cdot 13^{6} \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$27371520$	$2.804367$	$5577108481460841625/233729407061568$	$0.98699$	$4.52844$	$[1, 0, 0, -6243793, 5783062505]$	\(y^2+xy=x^3-6243793x+5783062505\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
488400.fm1	488400fm1	488400.fm	488400fm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{18} \cdot 3^{11} \cdot 5^{6} \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$43794432$	$3.019760$	$5577108481460841625/233729407061568$	$0.98699$	$4.66754$	$[0, 1, 0, -14778208, -21064854412]$	\(y^2=x^3+x^2-14778208x-21064854412\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$

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