Elliptic curve search results

Results (8 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
38870.m1	38870h2	38870.m	38870h	$2$	$7$	\( 2 \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{7} \cdot 5 \cdot 13^{2} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$83720$	$96$	$2$	$1$	$1$		$0$	$181104$	$1.475346$	$-68166000163521/2179088286080$	$1.04069$	$3.88083$	$[1, -1, 0, -4705, -930435]$	\(y^2+xy=x^3-x^2-4705x-930435\)	7.8.0.a.1, 91.48.0.?, 920.2.0.?, 6440.16.0.?, 83720.96.2.?	$[]$
38870.bg1	38870bn2	38870.bg	38870bn	$2$	$7$	\( 2 \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{7} \cdot 5 \cdot 13^{8} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.16.0.2	7B.2.3	$83720$	$96$	$2$	$1$	$1$		$0$	$2354352$	$2.757820$	$-68166000163521/2179088286080$	$1.04069$	$5.33708$	$[1, -1, 1, -795177, -2046551191]$	\(y^2+xy+y=x^3-x^2-795177x-2046551191\)	7.16.0-7.a.1.1, 91.48.0.?, 920.2.0.?, 6440.32.0.?, 83720.96.2.?	$[]$
194350.bl1	194350dv2	194350.bl	194350dv	$2$	$7$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \)	\( - 2^{7} \cdot 5^{7} \cdot 13^{8} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$83720$	$96$	$2$	$15.14076145$	$1$		$0$	$56504448$	$3.562538$	$-68166000163521/2179088286080$	$1.04069$	$5.42470$	$[1, -1, 0, -19879417, -255838778259]$	\(y^2+xy=x^3-x^2-19879417x-255838778259\)	7.8.0.a.1, 35.16.0-7.a.1.2, 91.24.0.?, 455.48.0.?, 920.2.0.?, $\ldots$	$[(23976349/31, 114151359628/31)]$
194350.dg1	194350ba2	194350.dg	194350ba	$2$	$7$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \)	\( - 2^{7} \cdot 5^{7} \cdot 13^{2} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$83720$	$96$	$2$	$1$	$1$		$0$	$4346496$	$2.280064$	$-68166000163521/2179088286080$	$1.04069$	$4.16091$	$[1, -1, 1, -117630, -116422003]$	\(y^2+xy+y=x^3-x^2-117630x-116422003\)	7.8.0.a.1, 91.24.0.?, 455.48.0.?, 920.2.0.?, 6440.16.0.?, $\ldots$	$[]$
310960.be1	310960be2	310960.be	310960be	$2$	$7$	\( 2^{4} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{19} \cdot 5 \cdot 13^{2} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$83720$	$96$	$2$	$1$	$1$		$0$	$4346496$	$2.168491$	$-68166000163521/2179088286080$	$1.04069$	$3.90042$	$[0, 0, 0, -75283, 59623122]$	\(y^2=x^3-75283x+59623122\)	7.8.0.a.1, 91.24.0.?, 364.48.0.?, 920.2.0.?, 6440.16.0.?, $\ldots$	$[]$
310960.bv1	310960bv2	310960.bv	310960bv	$2$	$7$	\( 2^{4} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{19} \cdot 5 \cdot 13^{8} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$83720$	$96$	$2$	$40.24065331$	$1$		$0$	$56504448$	$3.450966$	$-68166000163521/2179088286080$	$1.04069$	$5.11725$	$[0, 0, 0, -12722827, 130991999034]$	\(y^2=x^3-12722827x+130991999034\)	7.8.0.a.1, 28.16.0-7.a.1.2, 91.24.0.?, 364.48.0.?, 920.2.0.?, $\ldots$	$[(-2212832153497197995/20754471, 2203979510993868835405049152/20754471)]$
349830.c1	349830c2	349830.c	349830c	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 13^{8} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$251160$	$96$	$2$	$1$	$1$		$0$	$75339264$	$3.307125$	$-68166000163521/2179088286080$	$1.04069$	$4.93481$	$[1, -1, 0, -7156590, 55264038740]$	\(y^2+xy=x^3-x^2-7156590x+55264038740\)	7.8.0.a.1, 21.16.0-7.a.1.1, 91.24.0.?, 273.48.0.?, 920.2.0.?, $\ldots$	$[]$
349830.fx1	349830fx2	349830.fx	349830fx	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 13^{2} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$251160$	$96$	$2$	$1$	$1$		$0$	$5795328$	$2.024651$	$-68166000163521/2179088286080$	$1.04069$	$3.72921$	$[1, -1, 1, -42347, 25164091]$	\(y^2+xy+y=x^3-x^2-42347x+25164091\)	7.8.0.a.1, 91.24.0.?, 273.48.0.?, 920.2.0.?, 6440.16.0.?, $\ldots$	$[]$