Elliptic curve search results

Results (8 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
7426.e2	7426a1	7426.e	7426a	$2$	$2$	\( 2 \cdot 47 \cdot 79 \)	\( 2^{6} \cdot 47 \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$29704$	$12$	$0$	$1$	$1$		$1$	$3456$	$-0.113814$	$56667352321/237632$	$0.80807$	$2.77810$	$[1, 1, 1, -80, 241]$	\(y^2+xy+y=x^3+x^2-80x+241\)	2.3.0.a.1, 8.6.0.c.1, 7426.6.0.?, 29704.12.0.?	$[ ]$
59408.a2	59408e1	59408.a	59408e	$2$	$2$	\( 2^{4} \cdot 47 \cdot 79 \)	\( 2^{18} \cdot 47 \cdot 79 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$29704$	$12$	$0$	$4.134985063$	$1$		$15$	$82944$	$0.579333$	$56667352321/237632$	$0.80807$	$3.00925$	$[0, 1, 0, -1280, -17996]$	\(y^2=x^3+x^2-1280x-17996\)	2.3.0.a.1, 8.6.0.c.1, 7426.6.0.?, 29704.12.0.?	$[(-20, 2), (-21, 8)]$
66834.l2	66834i1	66834.l	66834i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 47 \cdot 79 \)	\( 2^{6} \cdot 3^{6} \cdot 47 \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$29704$	$12$	$0$	$7.552114256$	$1$		$1$	$82944$	$0.435493$	$56667352321/237632$	$0.80807$	$2.82198$	$[1, -1, 0, -720, -7232]$	\(y^2+xy=x^3-x^2-720x-7232\)	2.3.0.a.1, 8.6.0.c.1, 7426.6.0.?, 29704.12.0.?	$[(15416/7, 1850624/7)]$
185650.a2	185650g1	185650.a	185650g	$2$	$2$	\( 2 \cdot 5^{2} \cdot 47 \cdot 79 \)	\( 2^{6} \cdot 5^{6} \cdot 47 \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$29704$	$12$	$0$	$1$	$1$		$1$	$276480$	$0.690906$	$56667352321/237632$	$0.80807$	$2.83697$	$[1, 0, 1, -2001, 34148]$	\(y^2+xy+y=x^3-2001x+34148\)	2.3.0.a.1, 8.6.0.c.1, 7426.6.0.?, 29704.12.0.?	$[ ]$
237632.c2	237632c1	237632.c	237632c	$2$	$2$	\( 2^{6} \cdot 47 \cdot 79 \)	\( 2^{24} \cdot 47 \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$29704$	$12$	$0$	$6.799501752$	$1$		$1$	$663552$	$0.925907$	$56667352321/237632$	$0.80807$	$3.00821$	$[0, 1, 0, -5121, 138847]$	\(y^2=x^3+x^2-5121x+138847\)	2.3.0.a.1, 8.6.0.c.1, 7426.6.0.?, 29704.12.0.?	$[(2557/7, 43980/7)]$
237632.l2	237632l1	237632.l	237632l	$2$	$2$	\( 2^{6} \cdot 47 \cdot 79 \)	\( 2^{24} \cdot 47 \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$29704$	$12$	$0$	$1$	$16$	$2$	$1$	$663552$	$0.925907$	$56667352321/237632$	$0.80807$	$3.00821$	$[0, -1, 0, -5121, -138847]$	\(y^2=x^3-x^2-5121x-138847\)	2.3.0.a.1, 8.6.0.c.1, 7426.6.0.?, 29704.12.0.?	$[ ]$
349022.j2	349022j1	349022.j	349022j	$2$	$2$	\( 2 \cdot 47^{2} \cdot 79 \)	\( 2^{6} \cdot 47^{7} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$29704$	$12$	$0$	$42.81496577$	$1$		$1$	$7630848$	$1.811260$	$56667352321/237632$	$0.80807$	$3.75004$	$[1, 1, 1, -176766, -28575109]$	\(y^2+xy+y=x^3+x^2-176766x-28575109\)	2.3.0.a.1, 8.6.0.c.1, 7426.6.0.?, 29704.12.0.?	$[(10582276567766507745/46752881, 34047207192667683967371035567/46752881)]$
363874.o2	363874o1	363874.o	363874o	$2$	$2$	\( 2 \cdot 7^{2} \cdot 47 \cdot 79 \)	\( 2^{6} \cdot 7^{6} \cdot 47 \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$29704$	$12$	$0$	$1$	$4$	$2$	$1$	$995328$	$0.859141$	$56667352321/237632$	$0.80807$	$2.84554$	$[1, 0, 0, -3921, -94487]$	\(y^2+xy=x^3-3921x-94487\)	2.3.0.a.1, 8.6.0.c.1, 7426.6.0.?, 29704.12.0.?	$[ ]$

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