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	Manin constant
2046.e1	2046e2	2046.e	2046e	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 31 \)	\( 2^{4} \cdot 3^{6} \cdot 11^{2} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4092$	$12$	$0$	$0.206340270$	$1$		$12$	$1536$	$0.583699$	$2061621066895417/43751664$	$0.95281$	$4.62538$	$[1, 0, 1, -2652, 52330]$	\(y^2+xy+y=x^3-2652x+52330\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(5, 195)]$	$1$
6138.l1	6138p2	6138.l	6138p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 31 \)	\( 2^{4} \cdot 3^{12} \cdot 11^{2} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$2.038856678$	$1$		$4$	$12288$	$1.133005$	$2061621066895417/43751664$	$0.95281$	$4.79852$	$[1, -1, 1, -23864, -1412917]$	\(y^2+xy+y=x^3-x^2-23864x-1412917\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(-89, 49)]$	$1$
16368.d1	16368q2	16368.d	16368q	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 31 \)	\( 2^{16} \cdot 3^{6} \cdot 11^{2} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$6.045510608$	$1$		$3$	$36864$	$1.276846$	$2061621066895417/43751664$	$0.95281$	$4.49136$	$[0, -1, 0, -42424, -3349136]$	\(y^2=x^3-x^2-42424x-3349136\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(14434, 1733886)]$	$1$
22506.bh1	22506bm2	22506.bh	22506bm	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 31 \)	\( 2^{4} \cdot 3^{6} \cdot 11^{8} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1.872643519$	$1$		$6$	$184320$	$1.782646$	$2061621066895417/43751664$	$0.95281$	$4.95429$	$[1, 0, 0, -320834, -69972396]$	\(y^2+xy=x^3-320834x-69972396\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(-326, 172)]$	$1$
49104.bj1	49104be2	49104.bj	49104be	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 31 \)	\( 2^{16} \cdot 3^{12} \cdot 11^{2} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$3.455083715$	$1$		$3$	$294912$	$1.826153$	$2061621066895417/43751664$	$0.95281$	$4.64480$	$[0, 0, 0, -381819, 90808490]$	\(y^2=x^3-381819x+90808490\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(682, 12150)]$	$1$
51150.bs1	51150bm2	51150.bs	51150bm	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 31 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$0.606911702$	$1$		$8$	$196608$	$1.388418$	$2061621066895417/43751664$	$0.95281$	$4.14285$	$[1, 1, 1, -66288, 6541281]$	\(y^2+xy+y=x^3+x^2-66288x+6541281\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(115, 617)]$	$1$
63426.b1	63426f2	63426.b	63426f	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 11^{2} \cdot 31^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1.928239494$	$1$		$2$	$1474560$	$2.300694$	$2061621066895417/43751664$	$0.95281$	$5.05228$	$[1, 1, 0, -2548111, -1566614795]$	\(y^2+xy=x^3+x^2-2548111x-1566614795\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(4306, 257317)]$	$1$
65472.ba1	65472l2	65472.ba	65472l	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 31 \)	\( 2^{22} \cdot 3^{6} \cdot 11^{2} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$2.398765311$	$1$		$3$	$294912$	$1.623421$	$2061621066895417/43751664$	$0.95281$	$4.30492$	$[0, -1, 0, -169697, 26962785]$	\(y^2=x^3-x^2-169697x+26962785\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(-311, 7040)]$	$1$
65472.co1	65472cf2	65472.co	65472cf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 31 \)	\( 2^{22} \cdot 3^{6} \cdot 11^{2} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$7.241280647$	$1$		$3$	$294912$	$1.623421$	$2061621066895417/43751664$	$0.95281$	$4.30492$	$[0, 1, 0, -169697, -26962785]$	\(y^2=x^3+x^2-169697x-26962785\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(23818, 3675375)]$	$1$
67518.w1	67518w2	67518.w	67518w	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{4} \cdot 3^{12} \cdot 11^{8} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$1$		$0$	$1474560$	$2.331951$	$2061621066895417/43751664$	$0.95281$	$5.05760$	$[1, -1, 0, -2887506, 1889254692]$	\(y^2+xy=x^3-x^2-2887506x+1889254692\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[ ]$	$1$
100254.m1	100254f2	100254.m	100254f	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 31 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$1$		$0$	$552960$	$1.556654$	$2061621066895417/43751664$	$0.95281$	$4.07606$	$[1, 1, 0, -129924, -18079200]$	\(y^2+xy=x^3+x^2-129924x-18079200\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[ ]$	$1$
153450.bt1	153450dn2	153450.bt	153450dn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 31 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$1$		$0$	$1572864$	$1.937725$	$2061621066895417/43751664$	$0.95281$	$4.31371$	$[1, -1, 0, -596592, -177211184]$	\(y^2+xy=x^3-x^2-596592x-177211184\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[ ]$	$1$
180048.j1	180048bi2	180048.j	180048bi	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 31 \)	\( 2^{16} \cdot 3^{6} \cdot 11^{8} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1.870892962$	$1$		$5$	$4423680$	$2.475796$	$2061621066895417/43751664$	$0.95281$	$4.79031$	$[0, -1, 0, -5133344, 4478233344]$	\(y^2=x^3-x^2-5133344x+4478233344\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(1434, 7986)]$	$1$
190278.bm1	190278n2	190278.bm	190278n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 31^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 11^{2} \cdot 31^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$1$		$0$	$11796480$	$2.849998$	$2061621066895417/43751664$	$0.95281$	$5.13793$	$[1, -1, 1, -22933004, 42275666463]$	\(y^2+xy+y=x^3-x^2-22933004x+42275666463\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[ ]$	$1$
196416.x1	196416cq2	196416.x	196416cq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 31 \)	\( 2^{22} \cdot 3^{12} \cdot 11^{2} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$3.944544165$	$1$		$5$	$2359296$	$2.172726$	$2061621066895417/43751664$	$0.95281$	$4.45772$	$[0, 0, 0, -1527276, -726467920]$	\(y^2=x^3-1527276x-726467920\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(-712, 92)]$	$1$
196416.bm1	196416p2	196416.bm	196416p	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 31 \)	\( 2^{22} \cdot 3^{12} \cdot 11^{2} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$1$		$1$	$2359296$	$2.172726$	$2061621066895417/43751664$	$0.95281$	$4.45772$	$[0, 0, 0, -1527276, 726467920]$	\(y^2=x^3-1527276x+726467920\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[ ]$	$1$
300762.dv1	300762dv2	300762.dv	300762dv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 31 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{6} \cdot 11^{2} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1.585208593$	$1$		$4$	$4423680$	$2.105961$	$2061621066895417/43751664$	$0.95281$	$4.24363$	$[1, -1, 1, -1169321, 486969081]$	\(y^2+xy+y=x^3-x^2-1169321x+486969081\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[(647, 648)]$	$1$
345774.cc1	345774cc2	345774.cc	345774cc	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 31 \)	\( 2^{4} \cdot 3^{6} \cdot 11^{2} \cdot 13^{6} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$1$		$0$	$3612672$	$1.866173$	$2061621066895417/43751664$	$0.95281$	$3.97160$	$[1, 0, 0, -448107, 115417665]$	\(y^2+xy=x^3-448107x+115417665\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[ ]$	$1$
409200.fb1	409200fb2	409200.fb	409200fb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 31 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4092$	$12$	$0$	$1$	$1$		$1$	$4718592$	$2.081566$	$2061621066895417/43751664$	$0.95281$	$4.11986$	$[0, 1, 0, -1060608, -420763212]$	\(y^2=x^3+x^2-1060608x-420763212\)	2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.?	$[ ]$	$1$

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