Elliptic curve search results

Results (20 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
4290.bb6	4290bb2	4290.bb	4290bb	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.12.0.1, 3.8.0.1	2Cs, 3B.1.1	$8580$	$384$	$5$	$1.072602621$	$1$		$34$	$27648$	$1.582779$	$3590017885052913601/954068544000000$	$1.02421$	$5.10814$	$[1, 0, 0, -31900, 1610000]$	\(y^2+xy=x^3-31900x+1610000\)	2.6.0.a.1, 3.8.0-3.a.1.2, 4.12.0-2.a.1.1, 6.48.0-6.a.1.1, 12.96.0-12.a.1.7, $\ldots$	$[(50, 350)]$
12870.c6	12870p2	12870.c	12870p	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$8580$	$384$	$5$	$1$	$1$		$2$	$221184$	$2.132084$	$3590017885052913601/954068544000000$	$1.02421$	$5.21168$	$[1, -1, 0, -287100, -43470000]$	\(y^2+xy=x^3-x^2-287100x-43470000\)	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.1.15, 52.12.0-2.a.1.1, $\ldots$	$[]$
21450.r6	21450d2	21450.r	21450d	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$4.474689574$	$1$		$6$	$663552$	$2.387497$	$3590017885052913601/954068544000000$	$1.02421$	$5.25206$	$[1, 1, 0, -797500, 201250000]$	\(y^2+xy=x^3+x^2-797500x+201250000\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 15.8.0-3.a.1.2, $\ldots$	$[(-945, 11060)]$
34320.bb6	34320bn2	34320.bb	34320bn	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$2.881030406$	$1$		$9$	$663552$	$2.275925$	$3590017885052913601/954068544000000$	$1.02421$	$4.88749$	$[0, -1, 0, -510400, -103040000]$	\(y^2=x^3-x^2-510400x-103040000\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.11, $\ldots$	$[(-278, 4158)]$
47190.bl6	47190bh2	47190.bl	47190bh	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$1$	$1$		$2$	$3317760$	$2.781727$	$3590017885052913601/954068544000000$	$1.02421$	$5.30686$	$[1, 0, 1, -3859903, -2146769902]$	\(y^2+xy+y=x^3-3859903x-2146769902\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 20.12.0-2.a.1.1, $\ldots$	$[]$
55770.bc6	55770bc2	55770.bc	55770bc	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$4.022227698$	$1$		$6$	$4644864$	$2.865253$	$3590017885052913601/954068544000000$	$1.02421$	$5.31745$	$[1, 0, 1, -5391104, 3542561102]$	\(y^2+xy+y=x^3-5391104x+3542561102\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.1.5, 39.8.0-3.a.1.1, $\ldots$	$[(-2430, 49126)]$
64350.fe6	64350el2	64350.fe	64350el	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{12} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$1$	$1$		$2$	$5308416$	$2.936806$	$3590017885052913601/954068544000000$	$1.02421$	$5.32627$	$[1, -1, 1, -7177505, -5440927503]$	\(y^2+xy+y=x^3-x^2-7177505x-5440927503\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 15.8.0-3.a.1.1, $\ldots$	$[]$
102960.ci6	102960dj2	102960.ci	102960dj	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{24} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$1$	$4$	$2$	$3$	$5308416$	$2.825233$	$3590017885052913601/954068544000000$	$1.02421$	$4.99339$	$[0, 0, 0, -4593603, 2786673602]$	\(y^2=x^3-4593603x+2786673602\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.1.3, 52.12.0-2.a.1.1, $\ldots$	$[]$
137280.e6	137280gn2	137280.e	137280gn	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{30} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.1, 3.4.0.1	2Cs, 3B	$17160$	$384$	$5$	$1$	$1$		$3$	$5308416$	$2.622501$	$3590017885052913601/954068544000000$	$1.02421$	$4.66630$	$[0, -1, 0, -2041601, 826361601]$	\(y^2=x^3-x^2-2041601x+826361601\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.48.0.a.1, $\ldots$	$[]$
137280.fi6	137280bs2	137280.fi	137280bs	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{30} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.1, 3.4.0.1	2Cs, 3B	$17160$	$384$	$5$	$5.908282764$	$1$		$5$	$5308416$	$2.622501$	$3590017885052913601/954068544000000$	$1.02421$	$4.66630$	$[0, 1, 0, -2041601, -826361601]$	\(y^2=x^3+x^2-2041601x-826361601\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.48.0.a.1, $\ldots$	$[(5317, 372372)]$
141570.dp6	141570ca2	141570.dp	141570ca	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$1$	$1$		$2$	$26542080$	$3.331032$	$3590017885052913601/954068544000000$	$1.02421$	$5.37106$	$[1, -1, 1, -34739123, 57962787347]$	\(y^2+xy+y=x^3-x^2-34739123x+57962787347\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 33.8.0-3.a.1.1, $\ldots$	$[]$
167310.fr6	167310w2	167310.fr	167310w	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$1$	$1$		$2$	$37158912$	$3.414558$	$3590017885052913601/954068544000000$	$1.02421$	$5.37980$	$[1, -1, 1, -48519932, -95649149761]$	\(y^2+xy+y=x^3-x^2-48519932x-95649149761\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.13, $\ldots$	$[]$
171600.el6	171600bg2	171600.el	171600bg	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{12} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$1$	$1$		$3$	$15925248$	$3.080647$	$3590017885052913601/954068544000000$	$1.02421$	$5.03605$	$[0, 1, 0, -12760008, -12905520012]$	\(y^2=x^3+x^2-12760008x-12905520012\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 20.12.0-2.a.1.1, $\ldots$	$[]$
210210.cs6	210210da2	210210.cs	210210da	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$60060$	$384$	$5$	$1.464360170$	$1$		$12$	$7962624$	$2.555733$	$3590017885052913601/954068544000000$	$1.02421$	$4.43870$	$[1, 1, 1, -1563101, -553793101]$	\(y^2+xy+y=x^3+x^2-1563101x-553793101\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 21.8.0-3.a.1.1, $\ldots$	$[(-757, 14392)]$
235950.eq6	235950eq2	235950.eq	235950eq	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 11^{8} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$1$	$1$		$2$	$79626240$	$3.586445$	$3590017885052913601/954068544000000$	$1.02421$	$5.39703$	$[1, 1, 1, -96497563, -268346237719]$	\(y^2+xy+y=x^3+x^2-96497563x-268346237719\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.14, $\ldots$	$[]$
278850.ey6	278850ey2	278850.ey	278850ey	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 11^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$3.507249476$	$1$		$8$	$111476736$	$3.669971$	$3590017885052913601/954068544000000$	$1.02421$	$5.40506$	$[1, 1, 1, -134777588, 442820137781]$	\(y^2+xy+y=x^3+x^2-134777588x+442820137781\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 60.96.0-12.a.1.4, $\ldots$	$[(755, 583997)]$
377520.bu6	377520bu2	377520.bu	377520bu	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$1$	$1$		$3$	$79626240$	$3.474873$	$3590017885052913601/954068544000000$	$1.02421$	$5.09523$	$[0, -1, 0, -61758440, 137393273712]$	\(y^2=x^3-x^2-61758440x+137393273712\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 20.12.0-2.a.1.1, $\ldots$	$[]$
411840.hc6	411840hc2	411840.hc	411840hc	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{30} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$17160$	$384$	$5$	$4.263129139$	$1$		$7$	$42467328$	$3.171806$	$3590017885052913601/954068544000000$	$1.02421$	$4.77964$	$[0, 0, 0, -18374412, -22293388816]$	\(y^2=x^3-18374412x-22293388816\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.0-12.a.1.4, $\ldots$	$[(9748, 851400)]$
411840.nt6	411840nt2	411840.nt	411840nt	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{30} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$17160$	$384$	$5$	$5.327104078$	$1$		$5$	$42467328$	$3.171806$	$3590017885052913601/954068544000000$	$1.02421$	$4.77964$	$[0, 0, 0, -18374412, 22293388816]$	\(y^2=x^3-18374412x+22293388816\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.0-12.a.1.16, $\ldots$	$[(-388, 171360)]$
446160.a6	446160a2	446160.a	446160a	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$8580$	$384$	$5$	$1$	$1$		$3$	$111476736$	$3.558399$	$3590017885052913601/954068544000000$	$1.02421$	$5.10685$	$[0, -1, 0, -86257656, -226723910544]$	\(y^2=x^3-x^2-86257656x-226723910544\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.1.9, 52.12.0-2.a.1.1, $\ldots$	$[]$