Elliptic curve search results

Results (7 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
15918.w2	15918w1	15918.w	15918w	$2$	$7$	\( 2 \cdot 3 \cdot 7 \cdot 379 \)	\( - 2^{7} \cdot 3^{14} \cdot 7^{7} \cdot 379 \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$21224$	$96$	$2$	$2.841313466$	$1$		$14$	$164640$	$2.001930$	$149717146211547812351/191087828767269504$	$0.97452$	$4.82079$	$[1, 0, 0, 110624, 15558272]$	\(y^2+xy=x^3+110624x+15558272\)	7.48.0-7.a.1.2, 21224.96.2.?	$[(-34, 3446)]$
47754.k2	47754m1	47754.k	47754m	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7 \cdot 379 \)	\( - 2^{7} \cdot 3^{20} \cdot 7^{7} \cdot 379 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$63672$	$96$	$2$	$1$	$1$		$0$	$1317120$	$2.551235$	$149717146211547812351/191087828767269504$	$0.97452$	$4.94104$	$[1, -1, 0, 995616, -420073344]$	\(y^2+xy=x^3-x^2+995616x-420073344\)	7.24.0.a.1, 21.48.0-7.a.1.2, 21224.48.2.?, 63672.96.2.?	$[]$
111426.be2	111426bd1	111426.be	111426bd	$2$	$7$	\( 2 \cdot 3 \cdot 7^{2} \cdot 379 \)	\( - 2^{7} \cdot 3^{14} \cdot 7^{13} \cdot 379 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$21224$	$96$	$2$	$1$	$1$		$0$	$7902720$	$2.974884$	$149717146211547812351/191087828767269504$	$0.97452$	$5.01825$	$[1, 1, 1, 5420575, -5331066721]$	\(y^2+xy+y=x^3+x^2+5420575x-5331066721\)	7.48.0-7.a.1.1, 21224.96.2.?	$[]$
127344.h2	127344k1	127344.h	127344k	$2$	$7$	\( 2^{4} \cdot 3 \cdot 7 \cdot 379 \)	\( - 2^{19} \cdot 3^{14} \cdot 7^{7} \cdot 379 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$21224$	$96$	$2$	$1$	$1$		$0$	$3951360$	$2.695076$	$149717146211547812351/191087828767269504$	$0.97452$	$4.67559$	$[0, -1, 0, 1769984, -995729408]$	\(y^2=x^3-x^2+1769984x-995729408\)	7.24.0.a.1, 28.48.0-7.a.1.1, 21224.96.2.?	$[]$
334278.l2	334278l1	334278.l	334278l	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 379 \)	\( - 2^{7} \cdot 3^{20} \cdot 7^{13} \cdot 379 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$63672$	$96$	$2$	$29.28770935$	$1$		$4$	$63221760$	$3.524189$	$149717146211547812351/191087828767269504$	$0.97452$	$5.10304$	$[1, -1, 0, 48785175, 143987586637]$	\(y^2+xy=x^3-x^2+48785175x+143987586637\)	7.24.0.a.1, 21.48.0-7.a.1.1, 21224.48.2.?, 63672.96.2.?	$[(282221, 149833508), (-1489, 261596)]$
382032.bk2	382032bk1	382032.bk	382032bk	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 379 \)	\( - 2^{19} \cdot 3^{20} \cdot 7^{7} \cdot 379 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$63672$	$96$	$2$	$6.924415014$	$1$		$2$	$31610880$	$3.244381$	$149717146211547812351/191087828767269504$	$0.97452$	$4.78879$	$[0, 0, 0, 15929853, 26868764162]$	\(y^2=x^3+15929853x+26868764162\)	7.24.0.a.1, 84.48.0.?, 21224.48.2.?, 63672.96.2.?	$[(2191, 268866)]$
397950.d2	397950d1	397950.d	397950d	$2$	$7$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 379 \)	\( - 2^{7} \cdot 3^{14} \cdot 5^{6} \cdot 7^{7} \cdot 379 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$106120$	$96$	$2$	$1$	$9$	$3$	$0$	$23049600$	$2.806648$	$149717146211547812351/191087828767269504$	$0.97452$	$4.36625$	$[1, 1, 0, 2765600, 1944784000]$	\(y^2+xy=x^3+x^2+2765600x+1944784000\)	7.24.0.a.1, 35.48.0-7.a.1.1, 21224.48.2.?, 106120.96.2.?	$[]$