Elliptic curve search results

Results (22 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
2415.a3	2415a1	2415.a	2415a	$4$	$4$	\( 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 3^{3} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.914810088$	$1$		$5$	$480$	$0.047881$	$58818484369/7455105$	$0.85439$	$3.18350$	$[1, 1, 1, -81, -282]$	\(y^2+xy+y=x^3+x^2-81x-282\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 60.12.0-4.c.1.2, 92.12.0.?, $\ldots$	$[(-6, 8)]$
7245.n3	7245p1	7245.n	7245p	$4$	$4$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 3^{9} \cdot 5 \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$3840$	$0.597188$	$58818484369/7455105$	$0.85439$	$3.53163$	$[1, -1, 0, -729, 6880]$	\(y^2+xy=x^3-x^2-729x+6880\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 276.12.0.?, $\ldots$	$[ ]$
12075.v3	12075s1	12075.v	12075s	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 3^{3} \cdot 5^{7} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$11520$	$0.852600$	$58818484369/7455105$	$0.85439$	$3.66579$	$[1, 0, 1, -2026, -31177]$	\(y^2+xy+y=x^3-2026x-31177\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 460.12.0.?, $\ldots$	$[ ]$
16905.h3	16905z1	16905.h	16905z	$4$	$4$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 3^{3} \cdot 5 \cdot 7^{10} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$23040$	$1.020836$	$58818484369/7455105$	$0.85439$	$3.74646$	$[1, 0, 0, -3970, 84755]$	\(y^2+xy=x^3-3970x+84755\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 420.12.0.?, 644.12.0.?, $\ldots$	$[ ]$
36225.r3	36225bp1	36225.r	36225bp	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 3^{9} \cdot 5^{7} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$19320$	$48$	$0$	$1.460818448$	$1$		$11$	$92160$	$1.401907$	$58818484369/7455105$	$0.85439$	$3.91007$	$[1, -1, 1, -18230, 841772]$	\(y^2+xy+y=x^3-x^2-18230x+841772\)	2.3.0.a.1, 4.12.0-4.c.1.1, 690.6.0.?, 840.24.0.?, 1288.24.0.?, $\ldots$	$[(54, 85)]$
38640.cg3	38640ct1	38640.cg	38640ct	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$0.427230861$	$1$		$9$	$30720$	$0.741029$	$58818484369/7455105$	$0.85439$	$3.13533$	$[0, 1, 0, -1296, 15444]$	\(y^2=x^3+x^2-1296x+15444\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 60.12.0-4.c.1.1, 92.12.0.?, $\ldots$	$[(12, 42)]$
50715.bj3	50715bb1	50715.bj	50715bb	$4$	$4$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 3^{9} \cdot 5 \cdot 7^{10} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$184320$	$1.570143$	$58818484369/7455105$	$0.85439$	$3.97498$	$[1, -1, 0, -35730, -2288385]$	\(y^2+xy=x^3-x^2-35730x-2288385\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 690.6.0.?, $\ldots$	$[ ]$
55545.c3	55545f1	55545.c	55545f	$4$	$4$	\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 3^{3} \cdot 5 \cdot 7^{4} \cdot 23^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$19320$	$48$	$0$	$1$	$1$		$3$	$253440$	$1.615629$	$58818484369/7455105$	$0.85439$	$3.99184$	$[1, 1, 1, -42860, 3000332]$	\(y^2+xy+y=x^3+x^2-42860x+3000332\)	2.3.0.a.1, 4.12.0-4.c.1.1, 690.6.0.?, 840.24.0.?, 1288.24.0.?, $\ldots$	$[ ]$
84525.cn3	84525r1	84525.cn	84525r	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 3^{3} \cdot 5^{7} \cdot 7^{10} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$3.638502792$	$1$		$3$	$552960$	$1.825556$	$58818484369/7455105$	$0.85439$	$4.06616$	$[1, 1, 0, -99250, 10594375]$	\(y^2+xy=x^3+x^2-99250x+10594375\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 552.12.0.?, $\ldots$	$[(50, 2375)]$
115920.fb3	115920ew1	115920.fb	115920ew	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.058237158$	$1$		$7$	$245760$	$1.290335$	$58818484369/7455105$	$0.85439$	$3.40523$	$[0, 0, 0, -11667, -428654]$	\(y^2=x^3-11667x-428654\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 168.12.0.?, 276.12.0.?, $\ldots$	$[(-55, 216)]$
154560.ed3	154560co1	154560.ed	154560co	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{18} \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$2.615520908$	$1$		$3$	$245760$	$1.087603$	$58818484369/7455105$	$0.85439$	$3.11963$	$[0, -1, 0, -5185, 128737]$	\(y^2=x^3-x^2-5185x+128737\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 120.12.0.?, 184.12.0.?, $\ldots$	$[(-73, 336)]$
154560.gi3	154560ek1	154560.gi	154560ek	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{18} \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$2.685100452$	$1$		$3$	$245760$	$1.087603$	$58818484369/7455105$	$0.85439$	$3.11963$	$[0, 1, 0, -5185, -128737]$	\(y^2=x^3+x^2-5185x-128737\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 120.12.0.?, 184.12.0.?, $\ldots$	$[(203, 2688)]$
166635.bp3	166635bs1	166635.bp	166635bs	$4$	$4$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 3^{9} \cdot 5 \cdot 7^{4} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$2027520$	$2.164936$	$58818484369/7455105$	$0.85439$	$4.17533$	$[1, -1, 0, -385740, -81394709]$	\(y^2+xy=x^3-x^2-385740x-81394709\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 460.12.0.?, $\ldots$	$[ ]$
193200.f3	193200ek1	193200.f	193200ek	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$737280$	$1.545748$	$58818484369/7455105$	$0.85439$	$3.51413$	$[0, -1, 0, -32408, 1995312]$	\(y^2=x^3-x^2-32408x+1995312\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 460.12.0.?, $\ldots$	$[ ]$
253575.z3	253575z1	253575.z	253575z	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 3^{9} \cdot 5^{7} \cdot 7^{10} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$3.823314088$	$1$		$5$	$4423680$	$2.374863$	$58818484369/7455105$	$0.85439$	$4.23690$	$[1, -1, 1, -893255, -286941378]$	\(y^2+xy+y=x^3-x^2-893255x-286941378\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 184.12.0.?, $\ldots$	$[(-466, 5520)]$
270480.da3	270480da1	270480.da	270480da	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{10} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$19320$	$48$	$0$	$6.160194232$	$1$		$3$	$1474560$	$1.713984$	$58818484369/7455105$	$0.85439$	$3.58100$	$[0, -1, 0, -63520, -5424320]$	\(y^2=x^3-x^2-63520x-5424320\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 420.12.0.?, 644.12.0.?, $\ldots$	$[(1752, 72512)]$
277725.cn3	277725cn1	277725.cn	277725cn	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( 3^{3} \cdot 5^{7} \cdot 7^{4} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$4.236238098$	$1$		$1$	$6082560$	$2.420349$	$58818484369/7455105$	$0.85439$	$4.24969$	$[1, 0, 1, -1071501, 377184523]$	\(y^2+xy+y=x^3-1071501x+377184523\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 276.12.0.?, $\ldots$	$[(823/2, 102073/2)]$
292215.y3	292215y1	292215.y	292215y	$4$	$4$	\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 3^{3} \cdot 5 \cdot 7^{4} \cdot 11^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$212520$	$48$	$0$	$2.698087408$	$1$		$3$	$614400$	$1.246828$	$58818484369/7455105$	$0.85439$	$3.11357$	$[1, 1, 0, -9803, 326088]$	\(y^2+xy=x^3+x^2-9803x+326088\)	2.3.0.a.1, 4.6.0.c.1, 616.12.0.?, 660.12.0.?, 690.6.0.?, $\ldots$	$[(-104, 536)]$
388815.bb3	388815bb1	388815.bb	388815bb	$4$	$4$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( 3^{3} \cdot 5 \cdot 7^{10} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$12165120$	$2.588585$	$58818484369/7455105$	$0.85439$	$4.29545$	$[1, 0, 0, -2100141, -1035414360]$	\(y^2+xy=x^3-2100141x-1035414360\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 184.12.0.?, $\ldots$	$[ ]$
408135.bl3	408135bl1	408135.bl	408135bl	$4$	$4$	\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 3^{3} \cdot 5 \cdot 7^{4} \cdot 13^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$251160$	$48$	$0$	$8.351956673$	$1$		$1$	$921600$	$1.330357$	$58818484369/7455105$	$0.85439$	$3.11064$	$[1, 1, 0, -13692, -550701]$	\(y^2+xy=x^3+x^2-13692x-550701\)	2.3.0.a.1, 4.6.0.c.1, 690.6.0.?, 728.12.0.?, 780.12.0.?, $\ldots$	$[(-3190/7, 101949/7)]$
463680.dk3	463680dk1	463680.dk	463680dk	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{18} \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$2.549947213$	$1$		$5$	$1966080$	$1.636908$	$58818484369/7455105$	$0.85439$	$3.36217$	$[0, 0, 0, -46668, 3429232]$	\(y^2=x^3-46668x+3429232\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 168.12.0.?, 552.12.0.?, $\ldots$	$[(164, 432)]$
463680.el3	463680el1	463680.el	463680el	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{18} \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$1966080$	$1.636908$	$58818484369/7455105$	$0.85439$	$3.36217$	$[0, 0, 0, -46668, -3429232]$	\(y^2=x^3-46668x-3429232\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 168.12.0.?, 552.12.0.?, $\ldots$	$[ ]$

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