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.e2	2442e1	2442.e	2442e	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{12} \cdot 3^{2} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.158878752$	$1$		$3$	$576$	$0.075457$	$-18927429625/15003648$	$0.87746$	$3.14421$	$[1, 0, 1, -56, -250]$	\(y^2+xy+y=x^3-56x-250\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(36, 193)]$
7326.h2	7326l1	7326.h	7326l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{12} \cdot 3^{8} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$0.419159989$	$1$		$9$	$4608$	$0.624763$	$-18927429625/15003648$	$0.87746$	$3.49676$	$[1, -1, 1, -500, 6743]$	\(y^2+xy+y=x^3-x^2-500x+6743\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(9, 49)]$
19536.f2	19536u1	19536.f	19536u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{24} \cdot 3^{2} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$13824$	$0.768604$	$-18927429625/15003648$	$0.87746$	$3.32433$	$[0, -1, 0, -888, 15984]$	\(y^2=x^3-x^2-888x+15984\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
26862.u2	26862w1	26862.u	26862w	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \)	\( - 2^{12} \cdot 3^{2} \cdot 11^{7} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$0.727174955$	$1$		$7$	$69120$	$1.274405$	$-18927429625/15003648$	$0.87746$	$3.81568$	$[1, 0, 0, -6718, 325700]$	\(y^2+xy=x^3-6718x+325700\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(-56, 754)]$
58608.y2	58608bc1	58608.y	58608bc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{24} \cdot 3^{8} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.317911$	$-18927429625/15003648$	$0.87746$	$3.59208$	$[0, 0, 0, -7995, -423574]$	\(y^2=x^3-7995x-423574\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
61050.bu2	61050bj1	61050.bu	61050bj	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$82944$	$0.880176$	$-18927429625/15003648$	$0.87746$	$3.10209$	$[1, 1, 1, -1388, -31219]$	\(y^2+xy+y=x^3+x^2-1388x-31219\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
78144.y2	78144k1	78144.y	78144k	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{30} \cdot 3^{2} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.115177$	$-18927429625/15003648$	$0.87746$	$3.28442$	$[0, -1, 0, -3553, -124319]$	\(y^2=x^3-x^2-3553x-124319\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
78144.co2	78144cn1	78144.co	78144cn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{30} \cdot 3^{2} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$6.598448262$	$1$		$3$	$110592$	$1.115177$	$-18927429625/15003648$	$0.87746$	$3.28442$	$[0, 1, 0, -3553, 124319]$	\(y^2=x^3+x^2-3553x+124319\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(1250, 44163)]$
80586.l2	80586k1	80586.l	80586k	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{12} \cdot 3^{8} \cdot 11^{7} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$4$	$2$	$1$	$552960$	$1.823711$	$-18927429625/15003648$	$0.87746$	$4.02810$	$[1, -1, 0, -60462, -8793900]$	\(y^2+xy=x^3-x^2-60462x-8793900\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
90354.u2	90354w1	90354.u	90354w	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \)	\( - 2^{12} \cdot 3^{2} \cdot 11 \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.510201360$	$1$		$1$	$787968$	$1.880917$	$-18927429625/15003648$	$0.87746$	$4.04787$	$[1, 0, 0, -76008, -12422592]$	\(y^2+xy=x^3-76008x-12422592\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(17824/3, 2327944/3)]$
119658.m2	119658h1	119658.m	119658h	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( - 2^{12} \cdot 3^{2} \cdot 7^{6} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.115029646$	$1$		$5$	$207360$	$1.048412$	$-18927429625/15003648$	$0.87746$	$3.09621$	$[1, 1, 0, -2720, 82944]$	\(y^2+xy=x^3+x^2-2720x+82944\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(0, 288)]$
183150.cm2	183150eq1	183150.cm	183150eq	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.986849997$	$1$		$3$	$663552$	$1.429482$	$-18927429625/15003648$	$0.87746$	$3.36481$	$[1, -1, 0, -12492, 830416]$	\(y^2+xy=x^3-x^2-12492x+830416\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(120, 964)]$
214896.s2	214896bb1	214896.s	214896bb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( - 2^{24} \cdot 3^{2} \cdot 11^{7} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$1658880$	$1.967552$	$-18927429625/15003648$	$0.87746$	$3.84689$	$[0, -1, 0, -107488, -20844800]$	\(y^2=x^3-x^2-107488x-20844800\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
234432.ca2	234432ca1	234432.ca	234432ca	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{30} \cdot 3^{8} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.664484$	$-18927429625/15003648$	$0.87746$	$3.52570$	$[0, 0, 0, -31980, 3388592]$	\(y^2=x^3-31980x+3388592\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
234432.ct2	234432ct1	234432.ct	234432ct	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{30} \cdot 3^{8} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$4$	$2$	$1$	$884736$	$1.664484$	$-18927429625/15003648$	$0.87746$	$3.52570$	$[0, 0, 0, -31980, -3388592]$	\(y^2=x^3-31980x-3388592\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
271062.h2	271062h1	271062.h	271062h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \)	\( - 2^{12} \cdot 3^{8} \cdot 11 \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$0.803571339$	$4$	$2$	$9$	$6303744$	$2.430222$	$-18927429625/15003648$	$0.87746$	$4.21930$	$[1, -1, 0, -684072, 335409984]$	\(y^2+xy=x^3-x^2-684072x+335409984\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(-9, 18486)]$
358974.ed2	358974ed1	358974.ed	358974ed	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \)	\( - 2^{12} \cdot 3^{8} \cdot 7^{6} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$1658880$	$1.597719$	$-18927429625/15003648$	$0.87746$	$3.34562$	$[1, -1, 1, -24485, -2263971]$	\(y^2+xy+y=x^3-x^2-24485x-2263971\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
412698.cq2	412698cq1	412698.cq	412698cq	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \)	\( - 2^{12} \cdot 3^{2} \cdot 11 \cdot 13^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$1327104$	$1.357931$	$-18927429625/15003648$	$0.87746$	$3.08700$	$[1, 0, 0, -9383, -539319]$	\(y^2+xy=x^3-9383x-539319\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
488400.fr2	488400fr1	488400.fr	488400fr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{24} \cdot 3^{2} \cdot 5^{6} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$1990656$	$1.573322$	$-18927429625/15003648$	$0.87746$	$3.24463$	$[0, 1, 0, -22208, 1953588]$	\(y^2=x^3+x^2-22208x+1953588\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$

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